Kashio Tomokazu 加塩朋和

… Alternative Names

Tomokazu Kashio 加塩朋和

KASHIO Tomokazu 加塩朋和

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Researcher Number	10403106
Other IDs
Affiliation (Current)	2025: 東京理科大学, 創域理工学部数理科学科, 教授
Affiliation (based on the past Project Information) *help	2023: 東京理科大学, 創域理工学部数理科学科, 准教授 2020 – 2022: 東京理科大学, 理工学部数学科, 准教授 2017 – 2019: 東京理科大学, 理工学部数学科, 講師 2014: 慶應義塾大学, 理工学部, 特任助教 2011 – 2014: 東京理科大学, 理工学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator スターク予想 / ｐ進周期 / 単数群 / 冪整基底 / Stark予想 / CM周期 / 代数曲線 / 絶対フロベニウス作用 / ｐ進多重ガンマ関数 / 多重ガンマ関数 … More / 虚数乗法論 / 類体論 / 代数的整数論 / ｐ進類似 / 代数体の整数環 / 代数体の単数群 / 整数論 / 代数学 / フェルマー曲線 / Weberの類数問題 / ｐ進Hodge理論 / （p進）CM周期 / （p進）多重ガンマ関数 / Gross-Stark単数 / Stark単数 / p進周期 / p進多重ガンマ関数 / 吉田予想 / Gross-Stark予想 / ＣＭ周期 / グロス－スターク予想 / ｐ進Ｌ関数 / Ｌ関数 / ｐ進ガンマ関数 / ガンマ関数 / グロス予想 / ｐ進L関数 / 周期 / L関数 … More Except Principal Investigator 国際研究者交流 / 虚数情報 / ドイツ / 国際情報交換 / 混合層 / L関数 / Eisenstein類 / 整数論 / p進Beilinson予想 / p進L関数 / ポリログ / Hecke指標 / 虚数乗法 / 楕円曲線 Less

代数体、整数環、単数群の明示的な構成、及び関連する数論的諸問題Principal Investigator
- Principal Investigator
  
  加塩朋和
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo University of Science
Families of algebraic curves with CM, multiple gamma functions, Stark conjecture and related number-theoretic problemsPrincipal Investigator
- Principal Investigator
  
  Tomokazu Kashio
- Project Period (FY)
  2017 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
On the relation between L-functions and periods, and the related problems in number theoryPrincipal Investigator
- Principal Investigator
  
  KASHIO Tomokazu
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Strategic Research to solve certain conjectures in Arithmetic Geometry
- Principal Investigator
  
  BANNAI Kenichi
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (S)
- Research Field
  
  Algebra
- Research Institution
  Keio University

All 2023 2022 2021 2020 2019 2018 2017 2015 2014 2013 2012 2011

All Journal Article Presentation

[Journal Article] ガンマ関数の関数等式とCM周期の単項関係式の対応とその応用2023
- Author(s)
  加塩朋和
- Journal Title
  
  第67回代数学シンポジウム報告集
  
  Volume: - Pages: 73-84
- Data Source
  KAKENHI-PROJECT-22K03253
[Journal Article] ガンマ関数の関数等式とCM周期の単項関係式の対応とその応用2023
- Author(s)
  加塩朋和
- Journal Title
  
  第67回代数学シンポジウム報告集
  
  Volume: - Pages: 73-84
- Data Source
  KAKENHI-PROJECT-17K05183
[Journal Article] The characterization of cyclic cubic fields with power integral bases2021
- Author(s)
  Kashio Tomokazu、Sekigawa Ryutaro
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 44 Issue: 2 Pages: 290-306
- DOI
  10.2996/kmj44204
- NAID
  130008059294
- ISSN
  0386-5991, 1881-5472
- Year and Date
  2021-06-30
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05183
[Journal Article] On a common refinement of Stark units and Gross-Stark units2021
- Author(s)
  加塩朋和
- Journal Title
  
  早稲田大学整数論研究集会 2019報告集
  
  Volume: 1 Pages: 1-11
- Data Source
  KAKENHI-PROJECT-17K05183
[Journal Article] A period-ring-valued gamma function and a refinement of the reciprocity law on Stark units2020
- Author(s)
  Tomokazu Kashio
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B83 Pages: 169-181
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05183
[Journal Article] p-adic measures associated with zeta values and p-adic log multiple gamma functions2019
- Author(s)
  Tomokazu Kashio
- Journal Title
  
  International Journal of Number Theory
  
  Volume: － Issue: 05 Pages: 991-1007
- DOI
  10.1142/s1793042119500532
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05183
[Journal Article] On the ratios of Barnes' multiple gamma functions to the p-adic analogues2019
- Author(s)
  Kashio Tomokazu
- Journal Title
  
  Journal of Number Theory
  
  Volume: 199 Pages: 403-435
- DOI
  10.1016/j.jnt.2018.11.022
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05183
[Journal Article] Stark's conjecture over the rational number eld and CM-periods of Fermat curves2017
- Author(s)
  Tomokazu Kashio
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 64 Pages: 93-106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05183
[Journal Article] On the algebraicity of some products of special values of Barnes' multiple gamma function2017
- Author(s)
  Tomokazu Kashio
- Journal Title
  
  American Journal of Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05183
[Journal Article] A survey on Stark's conjectures and a result of Dasgupta-Darmon-Pollack2015
- Author(s)
  Tomokazu Kashio
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740034
[Journal Article] A survey on Stark's conjectures and a result of Dasgupta-Darmon-Pollack2014
- Author(s)
  Tomokazu Kashio
- Journal Title
  
  RIMS Kokyuroku Bessatsu Algebraic Number Theory and Related Topics 2012
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740034
[Journal Article] 有理数体上のStark予想の証明2013
- Author(s)
  加塩朋和
- Journal Title
  
  第20回整数論サマースクール「Stark予想」報告集
  
  Volume: １ Pages: 15-26
- Data Source
  KAKENHI-PROJECT-23740034
[Journal Article] 有理数体上のStark予想の証明2013
- Author(s)
  加塩朋和
- Journal Title
  
  第２０回整数論サマースクール「Stark予想」報告集
  
  Volume: 1
- Data Source
  KAKENHI-PROJECT-23740034
[Journal Article] Rubin's integral refinement2013
- Author(s)
  加塩朋和
- Journal Title
  
  第２０回整数論サマースクール「Stark予想」報告集
  
  Volume: 1
- Data Source
  KAKENHI-PROJECT-23740034
[Journal Article] Stark-Tateの定式化2013
- Author(s)
  加塩朋和
- Journal Title
  
  第20回整数論サマースクール「Stark予想」報告集
  
  Volume: １ Pages: 1-14
- Data Source
  KAKENHI-PROJECT-23740034
[Journal Article] Stark-Tateの定式化2013
- Author(s)
  加塩朋和
- Journal Title
  
  第２０回整数論サマースクール「Stark予想」報告集
  
  Volume: 1
- Data Source
  KAKENHI-PROJECT-23740034
[Journal Article] Ｒｕｂｉｎ’ｓ　ｉｎｔｅｇｒａｌ　ｒｅｆｉｎｅｍｅｎｔ2013
- Author(s)
  加塩朋和
- Journal Title
  
  第20回整数論サマースクール「Stark予想」報告集
  
  Volume: １ Pages: 93-104
- Data Source
  KAKENHI-PROJECT-23740034
[Journal Article] ｐ進多重ガンマ関数とｐ進周期の関係について2011
- Author(s)
  加塩朋和
- Journal Title
  
  RIMS Kokyuroku Bessatsu: Algebraic Number Theory and Related Topics
  
  Volume: B25 Pages: 31-51
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] フェルマー曲線上のフロベニウス行列の公式とその一般化に関して2023
- Author(s)
  加塩朋和
- Organizer
  プロジェクト研究集会2022
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] フェルマー曲線上のフロベニウス行列の公式とその一般化に関して2023
- Author(s)
  加塩朋和
- Organizer
  プロジェクト研究集会2022
- Invited
- Data Source
  KAKENHI-PROJECT-22K03253
[Presentation] 円分Z2拡大の極小相対単数について2023
- Author(s)
  加塩朋和
- Organizer
  プロジェクト研究集会2023
- Data Source
  KAKENHI-PROJECT-22K03253
[Presentation] 整数論におけるp進的手法の紹介2022
- Author(s)
  加塩朋和
- Organizer
  代数学の萌芽
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] CM周期，多重ガンマ関数，Stark予想の関係とそのp進類似2022
- Author(s)
  加塩朋和
- Organizer
  Dasgupta Kakde Workshop
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] ガンマ関数の関数等式とCM周期の単項関係式の対応その応用2022
- Author(s)
  加塩朋和
- Organizer
  第67回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-22K03253
[Presentation] p進ガンマ関数の関数等式と連続性に関して2022
- Author(s)
  加塩朋和
- Organizer
  プロジェクト研究集会2021
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] ガンマ関数の関数等式とCM周期の単項関係式の対応その応用2022
- Author(s)
  加塩朋和
- Organizer
  第67回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] A note on the monogenity and the unit group2021
- Author(s)
  Tomokazu Kashio
- Organizer
  Second meeting of Monogenity and power integral bases
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] CM周期の代数的整数論への応用の紹介2021
- Author(s)
  加塩朋和
- Organizer
  プロジェクト研究集会2020
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] 円単数の相互法則の細分, 及びその一般化2019
- Author(s)
  加塩朋和
- Organizer
  第18回北陸数論研究集会「数論における相互法則」
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] On a common refinement of Stark units and Gross-Stark units2019
- Author(s)
  加塩朋和
- Organizer
  2019早稲田整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] フェルマー曲線上の絶対フロベニウスに関するコールマンの公式について2019
- Author(s)
  加塩朋和
- Organizer
  2019大分佐賀整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] On Coleman's formula for the absolute Frobenius on Fermat curves2019
- Author(s)
  加塩朋和
- Organizer
  愛知数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] 類体構成の具体例, 及び p 進周期との関係について2019
- Author(s)
  加塩朋和
- Organizer
  坂内研究室プロジェクト研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] A note on special values of the gamma function2018
- Author(s)
  加塩朋和
- Organizer
  坂内研究室プロジェクト研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] On Yoshida's conjecture concerning CM-periods and multiple gamma functions2018
- Author(s)
  Tomokazu Kashio
- Organizer
  21st Autumn Workshop on Number Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] On a relation between CM periods, Stark units, and multiple gamma functions2017
- Author(s)
  Tomokazu Kashio
- Organizer
  Workshop "Special values of automorphic L-functions, periods of automorphic forms and related topics"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] On a refinement of the reciprocity law on Stark units2017
- Author(s)
  加塩朋和
- Organizer
  京都大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] A period-ring-valued gamma function and a re nement of the reciprocity law on Stark units2017
- Author(s)
  加塩朋和
- Organizer
  Algebraic Number Theory and Related Topics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05183
[Presentation] Stark's conjecture over the rational number field and CM-periods of Fermat curves2014
- Author(s)
  加塩朋和
- Organizer
  研究集会「代数的整数論とその周辺」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-12-04
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] A product of special values of multiple gamma functions2014
- Author(s)
  Tomokazu Kashio
- Organizer
  Japan-Taiwan Joint Conference on Number Theory
- Place of Presentation
  休暇村気仙沼大島
- Year and Date
  2014-09-04
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] 有理数体上のStark予想の部分的な別証明2013
- Author(s)
  加塩朋和
- Organizer
  早稲田大学整数論セミナー
- Place of Presentation
  早稲田大学
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] On Shimura's CM-periods and Stark's units over totally real fields2013
- Author(s)
  Tomokazu Kashio
- Organizer
  Automorphic Functions and Arithmetic Geometry: a symposium for Prof. L. Lafforgue's visit
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] 有理数体上のStark予想の証明2012
- Author(s)
  加塩朋和
- Organizer
  第２０回整数論サマースクール「Stark予想」
- Place of Presentation
  国民休暇村南阿蘇
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] Stark-Tateの定式化2012
- Author(s)
  加塩朋和
- Organizer
  第２０回整数論サマースクール「Stark予想」
- Place of Presentation
  国民休暇村南阿蘇
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] Rubin's integral refinement2012
- Author(s)
  加塩朋和
- Organizer
  第２０回整数論サマースクール「Stark予想」
- Place of Presentation
  国民休暇村南阿蘇
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] Frobenius actions on Fermat curves and cyclotomic units2012
- Author(s)
  加塩朋和
- Organizer
  Symposium on ARITHMETIC & GEOMETRY
- Place of Presentation
  九州大学伊都キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] A survey on Stark’s conjectures and a result of Dasgupta-Darmon-Pollack2012
- Author(s)
  加塩朋和
- Organizer
  代数的整数論とその周辺
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] On a relation between p-adic gamma functions and p-adic periods2011
- Author(s)
  加塩朋和
- Organizer
  Workshop on L-FUNCTIONS
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23740034
[Presentation] On a relation between p-adic gamma functions and p-adic periods2011
- Author(s)
  加塩朋和
- Organizer
  岩澤理論ミニ研究集会
- Place of Presentation
  京都大学理学部
- Data Source
  KAKENHI-PROJECT-23740034

1. BANNAI Kenichi (90343201)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. TAKAI Yuki (90599698)

# of Collaborated Projects: 1 results

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3. MIURA Takashi (60631934)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. NAKAMURA Kentaro (90595993)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. ARAI Keisuke (80422393)

# of Collaborated Projects: 1 results

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6. HAGIHARA Kei (30512173)

# of Collaborated Projects: 1 results

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7. TSUSHIMA Takahiro (70583912)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. YAMAMOTO Shuji

# of Collaborated Projects: 1 results

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9. OTSUKI Rei

# of Collaborated Projects: 1 results

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10. HASEGAWA Yasuko

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. HIROTSUNE Tomoki

# of Collaborated Projects: 1 results

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12. ONO Masataka

# of Collaborated Projects: 1 results

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13. KINGS Guido

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Kashio Tomokazu 加塩 朋和

Tomokazu Kashio 加塩 朋和

KASHIO Tomokazu 加塩 朋和

Research Projects

Research Products

Co-Researchers

代数体、整数環、単数群の明示的な構成、及び関連する数論的諸問題Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Families of algebraic curves with CM, multiple gamma functions, Stark conjecture and related number-theoretic problemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On the relation between L-functions and periods, and the related problems in number theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Strategic Research to solve certain conjectures in Arithmetic Geometry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] ガンマ関数の関数等式とCM周期の単項関係式の対応とその応用2023

Author(s)

Journal Title

Data Source

[Journal Article] ガンマ関数の関数等式とCM周期の単項関係式の対応とその応用2023

Author(s)

Journal Title

Data Source

[Journal Article] The characterization of cyclic cubic fields with power integral bases2021

Author(s)

Journal Title

DOI

NAID

ISSN

Year and Date

Language

Data Source

[Journal Article] On a common refinement of Stark units and Gross-Stark units2021

Author(s)

Journal Title

Data Source

[Journal Article] A period-ring-valued gamma function and a refinement of the reciprocity law on Stark units2020

Author(s)

Journal Title

Data Source

[Journal Article] p-adic measures associated with zeta values and p-adic log multiple gamma functions2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the ratios of Barnes' multiple gamma functions to the p-adic analogues2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Stark's conjecture over the rational number eld and CM-periods of Fermat curves2017

Author(s)

Journal Title

Data Source

[Journal Article] On the algebraicity of some products of special values of Barnes' multiple gamma function2017

Author(s)

Journal Title

Data Source

[Journal Article] A survey on Stark's conjectures and a result of Dasgupta-Darmon-Pollack2015

Author(s)

Journal Title

Data Source

[Journal Article] A survey on Stark's conjectures and a result of Dasgupta-Darmon-Pollack2014

Author(s)

Journal Title

Kashio Tomokazu 加塩朋和

Tomokazu Kashio 加塩朋和

KASHIO Tomokazu 加塩朋和

[Journal Article] Ｒｕｂｉｎ’ｓ　ｉｎｔｅｇｒａｌ　ｒｅｆｉｎｅｍｅｎｔ2013