TANIGUCHI Takashi 谷口隆

Researcher Number	60422391
Other IDs
Affiliation (Current)	2025: 神戸大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 神戸大学, 理学研究科, 教授 2016 – 2020: 神戸大学, 理学研究科, 准教授 2016: 神戸大学, 大学院理学研究科, 准教授 2013 – 2016: 神戸大学, 理学(系)研究科(研究院), 准教授 2012: 神戸大学, 理学(系)研究科(研究院), 講師 2011: 神戸大学, 大学院・理学研究科, 講師 2008 – 2011: Kobe University, 理学研究科, 講師
Review Section/Research Field	Principal Investigator Algebra / Medium-sized Section 11:Algebra, geometry, and related fields / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator 概均質ベクトル空間 / 指数和 / 余正則空間 / 整数論 / 篩 / 概素数 / 代数学 / 代数群 / 密度定理 / 数論的不変式論 … More / 国際情報交換，米国 / ゼータ関数 / 離散可積分系 / 数論統計 / アーベル多様体 / ディオファントス問題 / 一様評価 / 数論統計学 / 解析的整数論 / 解析数論 / 判別式 / ３次体 / 篩法 / 多重ディリクレ級数 / 代数群の整数論 / 数の幾何 / 代数群の表現 / 3次体 / 概均質ベクトル空間のゼータ関数 / ２元３次形式の空間 / ２次体のイデアル類群 / 三次体 / 第二主要項 / 合同部分群 / L関数 / 2元3次形式 / 代数的整数論 … More Except Principal Investigator 離散可積分系 / アーベル多様体 / ディオファントス問題 / 国際研究者交流 / 国際情報交換 / 国際研究者交流（フランス、ハンガリー） / モジュライ理論 / Bridgeland安定性 / 量子コホモロジーとミラー対称性 / Floer理論 / 混合ツイスターD加群 / パンルヴェ型方程式 / Floer 理論 / リーマン・ヒルベルト対応 / 量子コホモロジーとミラー対称性 / モノドロミー保存変形 / モジュライ空間 / 相空間 / パンルヴェ方程式 / 可積分系 / 対称空間 / 関数等式 / クリフォード代数 / ゼータ関数 / 保型超関数 / 概均質ベクトル空間 / 数論 Less

数論統計の手法によるディオファントス幾何学の研究とその応用Principal Investigator
- Principal Investigator
  
  谷口隆
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kobe University
数論的不変式論の深化と数論統計学Principal Investigator
- Principal Investigator
  
  谷口隆
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kobe University
Discrete integrable systems and Diophantine problems
- Principal Investigator
  
  伊藤哲史
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto University
New developments in arithmetic invariant theoryPrincipal Investigator
- Principal Investigator
  
  Taniguchi Takashi
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Study of exponential sums associated with prehomogeneous vector spacesPrincipal Investigator
- Principal Investigator
  
  Taniguchi Takashi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Number theory for representations of algebraic groups and associated zeta functionsPrincipal Investigator
- Principal Investigator
  
  Taniguchi Takashi
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Second main terms for density theorems in number theoryPrincipal Investigator
- Principal Investigator
  
  Taniguchi Takashi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Developments in Interactions between Algebraic Geometry and Integrable Systems
- Principal Investigator
  
  Saito Masa-Hiko
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Researches on zeta functions of prehomogeneous vector spaces
- Principal Investigator
  
  SATO Fumihiro
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
Number theory for parabolic type prehomogeneous vector spaces and their associated zeta functionsPrincipal Investigator
- Principal Investigator
  
  TANIGUCHI Takashi
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kobe University

[Journal Article] Improved error estimates for the Davenpor-Heilbronn theorems2023
- Author(s)
  Manjul Bhargava, Takashi Taniguchi, Frank Thorne
- Journal Title
  
  Mathematische Annalen
  
  Volume: - Issue: 4 Pages: 3471-3512
- DOI
  10.1007/s00208-023-02684-w
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K18577
[Journal Article] Uniform bounds for lattice point counting and partial sums of zeta functions2021
- Author(s)
  Lowry-Duda David、Taniguchi Takashi、Thorne Frank
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 300 Issue: 3 Pages: 2571-2590
- DOI
  10.1007/s00209-021-02862-z
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02835, KAKENHI-PROJECT-21K18577
[Journal Article] Levels of distribution for sieve problems in prehomogeneous vector spaces2020
- Author(s)
  Taniguchi Takashi、Thorne Frank
- Journal Title
  
  Mathematische Annalen
  
  Volume: 376 Issue: 3-4 Pages: 1537-1559
- DOI
  10.1007/s00208-019-01933-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747, KAKENHI-PROJECT-17H02835
[Journal Article] Bounds on $2$-torsion in class groups of number fields and integral points on elliptic curves2020
- Author(s)
  Bhargava M.、Shankar A.、Taniguchi T.、Thorne F.、Tsimerman J.、Zhao Y.
- Journal Title
  
  Journal of the American Mathematical Society
  
  Volume: 33 Issue: 4 Pages: 1087-1099
- DOI
  10.1090/jams/945
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02835
[Journal Article] The local-global property for bitangents of plane quartics2020
- Author(s)
  Ishitsuka Yasuhiro、Ito Tetsushi、Ohshita Tatsuya、Taniguchi Takashi、Uchida Yukihiro
- Journal Title
  
  JSIAM Letters
  
  Volume: 12 Issue: 0 Pages: 41-44
- DOI
  10.14495/jsiaml.12.41
- NAID
  130007879424
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03517, KAKENHI-PROJECT-17H02835
[Journal Article] Orbital exponential sums for prehomogeneous vector spaces2020
- Author(s)
  Taniguchi Takashi、Thorne Frank
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 142 Issue: 1 Pages: 177-213
- DOI
  10.1353/ajm.2020.0004
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Journal Article] Manjul Bhargava 氏の業績 -楕円曲線の平均階数と数の幾何-2016
- Author(s)
  谷口隆
- Journal Title
  
  数学
  
  Volume: 68 Pages: 72-82
- NAID
  130006321002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25707002
[Journal Article] Manjul Bhargava 氏の業績 ---楕円曲線の平均階数と数の幾何---2016
- Author(s)
  谷口隆
- Journal Title
  
  数学
  
  Volume: 68
- NAID
  130006321002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224001
[Journal Article] Manjul Bhargava 氏の業績　--楕円曲線の平均階数と数の幾何--2016
- Author(s)
  谷口隆
- Journal Title
  
  数学
  
  Volume: 68 Pages: 72-82
- NAID
  130006321002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24654005
[Journal Article] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms II2014
- Author(s)
  Yasuo Ohno and Takashi Taniguchi
- Journal Title
  
  Mathematical Research Letters
  
  Volume: 21 Issue: 2 Pages: 363-378
- DOI
  10.4310/mrl.2014.v21.n2.a12
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23540036, KAKENHI-PROJECT-25707002, KAKENHI-PROJECT-24224001
[Journal Article] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms II2014
- Author(s)
  Yasuo Ohno, Takashi Taniguchi
- Journal Title
  
  Mathematical Research Letters
  
  Volume: 21 Pages: 363-378
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24654005
[Journal Article] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms II2014
- Author(s)
  Yasuo Ohni, Takashi Taniguchi
- Journal Title
  
  Mathematical Research Letters
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25707002
[Journal Article] An error estimate for counting S_3-sextic number fields2014
- Author(s)
  T. Taniguchi, F. Thorne
- Journal Title
  
  International Journal of Number Theory
  
  Volume: 掲載確定 Issue: 04 Pages: 935-948
- DOI
  10.1142/s1793042114500080
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-24654005, KAKENHI-PROJECT-25707002
[Journal Article] 3次体の数え上げ2014
- Author(s)
  T. Taniguchi
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1898
- Data Source
  KAKENHI-PROJECT-24224001
[Journal Article] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms II2014
- Author(s)
  Yasuo Ohni, Takashi Taniguchi
- Journal Title
  
  Mathematical Research Letters
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24654005
[Journal Article] ３次体の数え上げ2014
- Author(s)
  谷口隆
- Journal Title
  
  数理解析研究所講究録
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-24654005
[Journal Article] ３次体の数え上げ2014
- Author(s)
  谷口隆
- Journal Title
  
  数理解析研究所講究録
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-25707002
[Journal Article] Secondary terms in counting functions for cubic fields2013
- Author(s)
  T. Taniguchi, F. Thorne
- Journal Title
  
  Duke Mathematical Journal
  
  Volume: 163 Issue: 13
- DOI
  10.1215/00127094-2371752
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224001
[Journal Article] Orbital L-functions for the space of binary cubic forms2013
- Author(s)
  T. Taniguchi, F. Thorne
- Journal Title
  
  Canadian Journal of Mathematics
  
  Volume: 65 Issue: 6 Pages: 1320-1383
- DOI
  10.4153/cjm-2013-027-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-24654005, KAKENHI-PROJECT-25707002
[Journal Article] Secondary terms in counting functions for cubic fields2013
- Author(s)
  Takashi Taniguchi, Frank Thorne
- Journal Title
  
  Duke Mathematical Journal
  
  Volume: 162 Pages: 2451-2508
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25707002
[Journal Article] Secondary terms in counting functions for cubic fields2013
- Author(s)
  Takashi Taniguchi, Frank Thorne
- Journal Title
  
  Duke Mathematical Journal
  
  Volume: 162 Pages: 2451-2508
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24654005
[Journal Article] 高次合成則入門2011
- Author(s)
  谷口隆
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B25 Pages: 211-253
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740018
[Journal Article] An Introduction to higher composition laws(in Japanese)2011
- Author(s)
  Takashi Taniguchi
- Journal Title
  
  数理解析研究所講究録
  
  Volume: B25 Pages: 211-254
- Data Source
  KAKENHI-PROJECT-20740018
[Journal Article] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms2009
- Author(s)
  Yasuo Ohno, Takashi Taniguchi and Satoshi Wakatsuki
- Journal Title
  
  Amer. J. Math
  
  Volume: 131-6 Pages: 1525-1541
- Data Source
  KAKENHI-PROJECT-20740018
[Journal Article] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms2009
- Author(s)
  Yasuo Ohno, Takashi Taniguchi, Satoshi Wakatsuki
- Journal Title
  
  Amer.J.Math.
  
  Pages: 131-136
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740018
[Journal Article] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms2009
- Author(s)
  Yasuo Ohno, Takashi Taniguchi Satoshi Wakatsuki
- Journal Title
  
  American Journal of Mathematics 131
  
  Pages: 1525-1541
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740018
[Journal Article] 高次合成則入門
- Author(s)
  Takashi Taniguchi
- Journal Title
  
  数理解析研究所講究録別冊印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740018
[Journal Article] 高次合成則入門
- Author(s)
  谷口隆
- Journal Title
  
  数理解析研究所講究録別冊
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740018
[Journal Article] Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves
- Author(s)
  M. Bhargava; A. Shankar; T. Taniguchi; F. Thorne; J. Tsimerman; Y. Zhao
- Journal Title
  
  Journal of the American Mathematical Society
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Journal Article] Orbital exponential sums for prehomogeneous vector spaces
- Author(s)
  Takashi Taniguchi and Frank Thorne
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Journal Article] 2元3次形式の空間に付随するゼータ関数の双対恒等式
- Author(s)
  谷口隆
- Journal Title
  
  第54回代数学シンポジウム報告集 (印刷中)(掲載確定)
- Data Source
  KAKENHI-PROJECT-20740018
[Journal Article] Orbital exponential sums for prehomogeneous vector spaces
- Author(s)
  Takashi Taniguchi and Frank Thorne
- Journal Title
  
  Amerian Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02835
[Presentation] 判別式が概素数である既約な整数係数２元４次形式の同値類の個数について2024
- Author(s)
  谷口隆
- Organizer
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21K18577
[Presentation] 例で学ぶ概均質ベクトル空間2023
- Author(s)
  谷口隆
- Organizer
  第30回整数論サマースクール「概均質ベクトル空間論の発展」
- Invited
- Data Source
  KAKENHI-PROJECT-23K22386
[Presentation] 本論のための準備2023
- Author(s)
  谷口隆
- Organizer
  第30回整数論サマースクール「概均質ベクトル空間論の発展」
- Invited
- Data Source
  KAKENHI-PROJECT-23K22386
[Presentation] 判別式が概素数である既約な整数係数２元４次形式の同値類の個数について2023
- Author(s)
  谷口隆
- Organizer
  京都大学数理解析研究所談話会
- Invited
- Data Source
  KAKENHI-PROJECT-23K22386
[Presentation] 概均質ベクトル空間の軌道指数和2022
- Author(s)
  谷口隆
- Organizer
  三角関数研究会
- Invited
- Data Source
  KAKENHI-PROJECT-23K22386
[Presentation] Improved error estimates for counting cubic fields2022
- Author(s)
  Takashi Taniguchi
- Organizer
  RIMS Workshop 2022 "Analytic Number Theory and Related Topics"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22386
[Presentation] An introduction to Shintani's zeta function for the space of binary cubic forms2019
- Author(s)
  Takashi Taniguchi
- Organizer
  The 10th Westlake Number Theory Colloquium
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02835
[Presentation] An introduction to Shintani's zeta function for the space of binary cubic forms2019
- Author(s)
  Takashi Taniguchi
- Organizer
  The 10th Westlake Number Theory Colloquium
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] Bounds on 2-torsion in class groups of number fields2018
- Author(s)
  Takashi Taniguchi
- Organizer
  RIMS Workshop 2018 "Analytic Number Theory and Related Topics"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] 代数体のイデアル類群の2-partについて2018
- Author(s)
  谷口隆
- Organizer
  第17回北陸数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] 代数体のイデアル類群の2-partについて2018
- Author(s)
  谷口隆
- Organizer
  第17回北陸数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17H02835
[Presentation] Bounds on 2-torsion in class groups of number fields2018
- Author(s)
  Takashi Taniguchi
- Organizer
  RIMS Workshop 2018 "Analytic Number Theory and Related Topics"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02835
[Presentation] Uniformity in Landau’s method and applications2017
- Author(s)
  谷口隆
- Organizer
  上越整数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] Uniformity in Landau’s method and applications2017
- Author(s)
  谷口隆
- Organizer
  Arithmetic Geometry and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] On the numbers of cubic and qaurtic fields with almost prime discriminants2017
- Author(s)
  T. Taniguchi
- Organizer
  The 10th Young Mathematicians Conference on Zeta Functions
- Place of Presentation
  名古屋大学 (愛知県・名古屋市)
- Year and Date
  2017-02-20
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] Variants of Ohno-Nakagawa's dual identity2017
- Author(s)
  谷口隆
- Organizer
  神戸整数論集会2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Uniformity in Landau’s method and applications2017
- Author(s)
  谷口隆
- Organizer
  Arithmetic Geometry and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] On the numbers of cubic and quartic fields with almost prime discriminants2017
- Author(s)
  谷口隆
- Organizer
  第4回京都保形形式研究集会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] Uniformity in Landau’s method and applications2017
- Author(s)
  谷口隆
- Organizer
  Arithmetic Geometry and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02835
[Presentation] On the numbers of cubic and qaurtic fields with almost prime discriminants2017
- Author(s)
  Takashi Taniguchi
- Organizer
  The 10th Young Mathematicians Conference on Zeta Functions
- Place of Presentation
  名古屋大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] Uniformity in Landau’s method and applications2017
- Author(s)
  谷口隆
- Organizer
  上越整数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Variants of Ohno-Nakagawa's dual identity2017
- Author(s)
  谷口隆
- Organizer
  神戸整数論集会2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02835
[Presentation] On the numbers of cubic and quartic fields with almost prime discriminants2017
- Author(s)
  谷口隆
- Organizer
  第4回京都保形形式研究集会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02835
[Presentation] Uniformity in Landau’s method and applications2017
- Author(s)
  谷口隆
- Organizer
  上越整数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H02835
[Presentation] Variants of Ohno-Nakagawa's dual identity2017
- Author(s)
  谷口隆
- Organizer
  神戸整数論集会2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] On the numbers of cubic and quartic fields with almost prime discriminants2017
- Author(s)
  谷口隆
- Organizer
  第4回京都保形形式研究集会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] 概均質ベクトル空間の軌道指数和2016
- Author(s)
  谷口隆
- Organizer
  代数的整数論とその周辺2016
- Place of Presentation
  RIMS
- Invited
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] Average rank of elliptic curves -Introduction to the work of Manjul Bhargava-2016
- Author(s)
  Takashi Taniguchi
- Organizer
  Arithmetic and Algebraic Geometry 2016
- Place of Presentation
  東京大学（東京都・目黒区）
- Year and Date
  2016-01-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] 概均質ベクトル空間の軌道指数和2016
- Author(s)
  谷口隆
- Organizer
  代数的整数論とその周辺2016
- Place of Presentation
  RIMS
- Invited
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Average rank of elliptic curves -- the work of Manjul Bhargava --2016
- Author(s)
  T. Taniguchi
- Organizer
  Arithmetic and Algebraic Geometry 2016
- Place of Presentation
  東京大学　(東京都・目黒区)
- Year and Date
  2016-01-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] Orbital exponential sums for prehomogeneous vector spaces2016
- Author(s)
  T. Taniguchi
- Organizer
  Whittaker Functions: Number Theory, Geometry and Physics
- Place of Presentation
  Banff (Canada)
- Year and Date
  2016-07-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] 概均質ベクトル空間の軌道指数和2016
- Author(s)
  谷口隆
- Organizer
  代数的整数論とその周辺2016
- Place of Presentation
  京都大学数理解析研究所 (京都府・京都市)
- Year and Date
  2016-11-28
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] Exponential sums associated to prehomogeneous vector spaces2016
- Author(s)
  Takashi Taniguchi
- Organizer
  2016 Seoul-Tokyo conference on Number Theory
- Place of Presentation
  KIAS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Orbital exponential sums for prehomogeneous vector spaces2016
- Author(s)
  Takashi Taniguchi
- Organizer
  Whittaker Functions: Number Theory, Geometry and Physics
- Place of Presentation
  BIRS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Exponential sums associated to prehomogeneous vector spaces2016
- Author(s)
  T. Taniguchi
- Organizer
  2016 Seoul-Tokyo conference on Number Theory
- Place of Presentation
  Seoul (Korea)
- Year and Date
  2016-06-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] Orbital exponential sums for prehomogeneous vector spaces2016
- Author(s)
  Takashi Taniguchi
- Organizer
  Whittaker Functions: Number Theory, Geometry and Physics
- Place of Presentation
  BIRS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] Exponential sums associated to prehomogeneous vector spaces2016
- Author(s)
  Takashi Taniguchi
- Organizer
  2016 Seoul-Tokyo conference on Number Theory
- Place of Presentation
  KIAS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13747
[Presentation] Average rank of elliptic curves -Introduction to the work of Manjul Bhargava-2016
- Author(s)
  Takashi Taniguchi
- Organizer
  Arithmetic and Algebraic Geometry 2016
- Place of Presentation
  東京大学（東京都・目黒区）
- Year and Date
  2016-01-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Exponential sums for prehomogeneous vector spaces2015
- Author(s)
  Takashi Taniguchi
- Organizer
  Zeta Functions of Several Variables and Applications
- Place of Presentation
  名古屋大学（愛知県・名古屋市）
- Year and Date
  2015-11-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Exponential sums for prehomogenoues vector spaces2015
- Author(s)
  Takashi Taniguchi
- Organizer
  Zeta Functions of Several Variables and Applications
- Place of Presentation
  名古屋大学（愛知県・名古屋市）
- Year and Date
  2015-11-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] 概均質ベクトル空間に伴う指数和2015
- Author(s)
  谷口隆
- Organizer
  早稲田大学整数論セミナー
- Place of Presentation
  早稲田大学 (東京都・新宿区)
- Year and Date
  2015-10-22
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] ベクトル空間に伴う指標和2015
- Author(s)
  谷口　隆
- Organizer
  愛媛大学代数セミナー (愛媛県・松山市)
- Place of Presentation
  愛媛大学　(愛媛県・松山市)
- Year and Date
  2015-06-22
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] 楕円曲線の平均階数- Manjul Bhargava のフィールズ賞受賞と今後の展望-2015
- Author(s)
  谷口隆
- Organizer
  日本数学会2015 年度年会, 企画特別講演
- Place of Presentation
  明治大学
- Year and Date
  2015-03-24
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] 3次体，4次体，5次体の判別式の分布2015
- Author(s)
  谷口隆
- Organizer
  東北大学数学科談話会
- Place of Presentation
  東北大学 (宮城県・仙台市)
- Year and Date
  2015-10-05
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] 概均質ベクトル空間に伴う指数和2015
- Author(s)
  谷口隆
- Organizer
  東北大学整数論セミナー
- Place of Presentation
  東北大学 (宮城県・仙台市)
- Year and Date
  2015-10-05
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] The zeta functions attached to prehomogeneous vector spaces2014
- Author(s)
  Takashi Taniguchi
- Organizer
  SMS2014 - Counting Arithmetic Objects
- Place of Presentation
  University of Montreal
- Year and Date
  2014-06-26
- Invited
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] Second order terms in some arithmetic functions2014
- Author(s)
  T. Taniguchi
- Organizer
  Prehomogeneous Vector Spaces and Related Topics (2014)
- Place of Presentation
  立教大学
- Year and Date
  2014-09-05
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] Second order terms in some arithmetic functions2014
- Author(s)
  Takashi Taniguchi
- Organizer
  Prehomogeneous Vector Spaces and Related Topics (2014)
- Place of Presentation
  立教大学
- Year and Date
  2014-09-05
- Invited
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] The zeta functions attached to prehomogeneous vector spaces2014
- Author(s)
  T. Taniguchi
- Organizer
  SMS2014 - Counting Arithmetic Objects
- Place of Presentation
  University of Montreal, Canada
- Year and Date
  2014-06-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] The zeta functions attached to prehomogeneous vector spaces2014
- Author(s)
  Takashi Taniguchi
- Organizer
  SMS2014 - Counting Arithmetic Objects
- Place of Presentation
  University of Montreal
- Year and Date
  2014-06-26
- Invited
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Second order terms in some arithmetic functions2014
- Author(s)
  Takashi Taniguchi
- Organizer
  Prehomogeneous Vector Spaces and Related Topics (2014)
- Place of Presentation
  立教大学
- Year and Date
  2014-09-05
- Invited
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Secondary terms in counting functions for cubic fields2011
- Author(s)
  Takashi Taniguchi
- Organizer
  Explicit methods in number theory
- Place of Presentation
  Oberwolfach数学研究所(ドイツ)(招待講演)
- Year and Date
  2011-07-20
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] A second main term for counting cubic fields, and biases in arithmetic progressions2011
- Author(s)
  Takashi Taniguchi
- Organizer
  プリンストン大学-高等研究所整数論セミナー
- Place of Presentation
  米国,高等研究所
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] A second main term for counting cubic fields, and biases in arithmetic progressions2011
- Author(s)
  Takashi Taniguchi
- Organizer
  Princeton University/IAS Number Theory Seminar
- Place of Presentation
  高等研究所(米国)(招待講演)
- Year and Date
  2011-12-01
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Secondary terms in counting functions for cubic fields2011
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『Explicit methods in number theory』
- Place of Presentation
  ドイツ,オーベルヴォルバッハ数学研究所
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] The secondary term in the counting function of cubic field discriminants, and their distributions in arithmetic progressions2010
- Author(s)
  Takashi Taniguchi
- Organizer
  ニューヨーク市立大学合同整数論セミナー
- Place of Presentation
  米国
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] The secondary term in the counting function of cubic field discriminants, and their distributions in arithmetic progressions2010
- Author(s)
  谷口隆
- Organizer
  Stanford/AIM Number Theory Seminar
- Place of Presentation
  スタンフォード(米国)(招待講演)
- Year and Date
  2010-10-29
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] The secondary term in the counting function of cubic field discriminants, and their distributions in arithmetic progressions2010
- Author(s)
  Takashi Taniguchi
- Organizer
  スタンフォード大学-アメリカ数学研究所整数論セミナー
- Place of Presentation
  スタンフォード大学,米国
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Orbital L- functions for the space of binary cubic forms2010
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『 Second international workshop on zeta functions in algebra and geometry』
- Place of Presentation
  スペイン,マヨルカ島
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Orbital L-functions for the space of binary cubic forms2010
- Author(s)
  谷口隆
- Organizer
  Second international workshop on zeta functions in algebra and geometry
- Place of Presentation
  Illes Balears大学(スペイン)(招待講演)
- Year and Date
  2010-05-04
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Orbital Lfunctions for the space of binary cubic forms2010
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『Second international workshop on zeta functions in algebra and geometry』
- Place of Presentation
  スペイン,マヨルカ島
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms2009
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『Higher Degree Forms Conference』
- Place of Presentation
  フロリダ大学, 米国
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Extra functional equations of zeta functions of binary cubic forms2009
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『 Explicit Structures in Modular Forms and Number Theory』
- Place of Presentation
  近畿大学
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Extra functional equations of zeta functions of binary cubic forms2009
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『Automorphic representations, automorphic L-functions and arithmetic』
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms2009
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『Higher Degree Forms Conference』
- Place of Presentation
  フロリダ大学,米国
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] 2元3次形式の空間に付随するゼータ関数の代数的関数等式2009
- Author(s)
  谷口隆
- Organizer
  第54回代数学シンポジウム
- Place of Presentation
  明治大学
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Extra functional equations of zeta functions of binary cubic forms2009
- Author(s)
  谷口隆
- Organizer
  Automorphic representations, automorphic L-functions and arithmetic
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-01-23
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] 高次合成則(Higher composition laws)の概説2009
- Author(s)
  谷口隆
- Organizer
  代数的整数論とその周辺
- Place of Presentation
  東京大学(東京都)
- Year and Date
  2009-12-10
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Relations among Dirichlet series whose coefficients are class numbers obinary cubic forms2009
- Author(s)
  Takashi Taniguchi
- Organizer
  Higher Degree Forms Conference
- Place of Presentation
  University of Florida (U.S.A)
- Year and Date
  2009-05-23
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] 2元3次形式の空間に付随するゼータ関数の代数的関数等式2009
- Author(s)
  谷口隆
- Organizer
  第54回代数学シンポジウム
- Place of Presentation
  明治大学(東京都)
- Year and Date
  2009-08-05
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Survey on "Higher composition laws"2009
- Author(s)
  Takashi Taniguchi
- Organizer
  Workshop on Arithmetic Geometry in Kanazawa
- Place of Presentation
  石川県文教会館(石川県)
- Year and Date
  2009-11-24
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Exceptional groups and Sato-Shintani's zeta functions2008
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『Workshop on Shimura Varieties, Automorphic Representations and Related Topics』
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Extra functional equations of zeta functions of binary cubic forms2008
- Author(s)
  谷口隆
- Organizer
  Explicit Structures in Modular Norms and Number Theory
- Place of Presentation
  近畿大学
- Year and Date
  2008-09-06
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Exceptional groups and Sato-Shintani's zeta functions2008
- Author(s)
  谷口隆
- Organizer
  Workshop on Shimura Varieties, Automorphic Representations and Related Topics
- Place of Presentation
  原都大学
- Year and Date
  2008-11-25
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Extra functional equations of zeta functions of binary cubic forms2008
- Author(s)
  Takashi Taniguchi
- Organizer
  研究集会『Explicit Structures in Modular Forms and Number Theory』
- Place of Presentation
  近畿大学
- Data Source
  KAKENHI-PROJECT-20740018
[Presentation] Orbital L-functions for the space of binary cubic forms and their applicationas
- Author(s)
  Takashi Taniguchi
- Organizer
  Combinatorics, Multiple Dirichlet series and Analytic Number Theory
- Place of Presentation
  ICERM, Brown University (アメリカ)
- Invited
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Counting cubic extensions over a number field
- Author(s)
  Takashi Taniguchi
- Organizer
  Kyoto conference on automorphic forms
- Place of Presentation
  Kyoto University
- Invited
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] Orbital L-functions for the space of binary cubic forms and their applicationas
- Author(s)
  Takashi Taniguchi
- Organizer
  Combinatorics, Multiple Dirichlet series and Analytic Number Theory
- Place of Presentation
  ICERM, Brown University
- Invited
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] Applications of Sato-Shintani's zeta functions for the space of binary cubic forms
- Author(s)
  Takashi Taniguchi
- Organizer
  Analysis, Geometry and Group Representations for Homogeneous Spaces
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-25707002
[Presentation] Counting cubic extensions over a number field
- Author(s)
  Takashi Taniguchi
- Organizer
  Algebraic Number Theory and Related Topics
- Place of Presentation
  RIMS
- Invited
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] Orbital L-functions for the space of binary cubic forms and their applicationas
- Author(s)
  Takashi Taniguchi
- Organizer
  Combinatorics, Multiple Dirichlet series and Analytic Number Theory
- Place of Presentation
  ICERM, Brown University (米国)
- Invited
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] Orbital L-functions for the space of binary cubic forms and their applicationas
- Author(s)
  T. Taniguchi
- Organizer
  Combinatorics, Multiple Dirichlet series and Analytic Number Theory
- Place of Presentation
  ICERM (Brown University, USA)
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] Applications of Sato-Shintani's zeta functions for the space of binary cubic forms
- Author(s)
  Takashi Taniguchi
- Organizer
  Analysis, Geometry and Group Representations for Homogeneous Spaces
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] Cubic field discriminants in arithmetic progressions
- Author(s)
  Takashi Taniguchi
- Organizer
  Analytic Number Theory -- Arithmetic Properties of Transcendental Functions and their Applications
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24654005
[Presentation] Cubic field discriminants in arithmetic progressions
- Author(s)
  Takashi Taniguchi
- Organizer
  Analytic Number Theory -- Arithmetic Properties of Transcendental Functions and their Applications
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-25707002

1. 伊藤哲史 (10456840)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 内田幸寛 (90533258)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
3. 大下達也 (70712420)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. 石塚裕大 (50761136)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. SATO Fumihiro (20120884)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. HIRONAKA Yumiko (10153652)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. KOGISO Takeyoshi (20282296)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. Saito Masa-Hiko (80183044)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. NORO Masayuki (50332755)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. KOIKE Tatsuya (80324599)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. INABA Michi-aki (80359934)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. MORI Shigefumi (00093328)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. MUKAI Shigeru (80115641)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. IWASAKI Katsunori (00176538)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. KANEKO Masanobu (70202017)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. HARAOKA Yoshishige (30208665)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. NAMIKAWA Yoshinori (80228080)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. ISHII Akira (10252420)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. FUJINO Osamu (60324711)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. HOSONO Shinobu (60212198)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. MATSUSHITA Daisuke (90333591)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. ABE Takeshi (90362409)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. IRITANI Hiroshi (20448400)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. TODA Yukinobu (20503882)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. NAKAJIMA Hiraku (00201666)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. NAKAMURA Iku (50022687)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. ONO Kaoru (20204232)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. ROSSMAN Wayne (50284485)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. MITSUI Kentaro (70644889)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. SANO Taro (10773195)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 山田泰彦 (00202383)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 太田泰広 (10213745)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 望月拓郎 (10315971)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 吉岡康太 (40274047)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 野海正俊 (80164672)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 大野泰生

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

TANIGUCHI Takashi 谷口 隆

Research Projects

Research Products

Co-Researchers

数論統計の手法によるディオファントス幾何学の研究とその応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

数論的不変式論の深化と数論統計学Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Discrete integrable systems and Diophantine problems

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New developments in arithmetic invariant theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of exponential sums associated with prehomogeneous vector spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Number theory for representations of algebraic groups and associated zeta functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Second main terms for density theorems in number theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Developments in Interactions between Algebraic Geometry and Integrable Systems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Researches on zeta functions of prehomogeneous vector spaces

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Number theory for parabolic type prehomogeneous vector spaces and their associated zeta functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Improved error estimates for the Davenpor-Heilbronn theorems2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Uniform bounds for lattice point counting and partial sums of zeta functions2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Levels of distribution for sieve problems in prehomogeneous vector spaces2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Bounds on $2$-torsion in class groups of number fields and integral points on elliptic curves2020

TANIGUCHI Takashi 谷口隆

[Journal Article] Manjul Bhargava 氏の業績　--楕円曲線の平均階数と数の幾何--2016