Sugiyama Shingo 杉山真吾

… Alternative Names

SUGIYAMA Shingo 杉山真吾

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Researcher Number	70821817
Other IDs
Affiliation (Current)	2025: 金沢大学, 数物科学系, 准教授
Affiliation (based on the past Project Information) *help	2023 – 2024: 金沢大学, 数物科学系, 准教授 2018 – 2022: 日本大学, 理工学部, 助手
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields Except Principal Investigator Basic Section 11010:Algebra-related / Basic Section 12030:Basic mathematics-related
Keywords	Principal Investigator L関数 / 零点 / ランダム行列理論 / 重み付き零点分布 / 特殊値 / 保型表現 / 保型L関数 / 跡公式 / 保型形式 / 量子確率論 … More / Jacquet-Zagier型跡公式 / 対称2次L関数 / 対称べきL関数 / Hilbert保型形式 / L関数の零点 / one-level density / 重みつき密度予想 / 密度予想 / low-lying zero / 重み付き密度予想 / 下方にある零点 / Dirichlet L関数 / ランダム行列 / 1レベル密度 / 零点分布 / ディリクレL関数 / distinguished表現 / 相対跡公式 / Hecke作用素 / Hecke固有値 … More Except Principal Investigator 保型形式 / 相対跡公式 / グラフ / 量子エルゴード性 / 固有ベクトル / Berry予想 / カスプ形式 / 逆正弦則 / ラプラシアン / 伊原ゼータ関数 / グラフの増大列 / ラマヌジャングラフ / 周期 / 整数論 / 保型表現 / 概均質ゼータ関数 / 保型周期 / Ihara zeta function / グラフの跡公式 / 熱方程式 / 線形符号 / テータ関数 / 連続極限 / 格子 / ベッセル関数 / セルバーグゼータ関数 / 跡公式 / Whittaker周期 / Rankin-Selberg周期 / 周期積分 / ユニタリー群の正則保型形式 / ホイタッカー周期 / ランキンセルバーグ積分 / Kloostermann和 / Petersson跡公式 / チェビシェフ多項式 / Catalan's triangle / モーメント / ランダムウォーク / 正則木 / ベーテ格子 / Kesten-McKay分布 / Kesten分布 / カタラン数 / 隣接行列 / フーリエ係数 / グラフ上の量子カオス / 正則グラフ Less

Relations between special values of L-functions, zeros of L-functions, and random matrix theoryPrincipal Investigator
- Principal Investigator
  
  杉山真吾
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kanazawa University
Analysis of quantum chaos on sequences of growing graphs
- Principal Investigator
  
  齋藤正顕
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12030:Basic mathematics-related
- Research Institution
  Kogakuin University
保型形式の周期の非消滅定理と漸近公式の研究
- Principal Investigator
  
  若槻聡
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kanazawa University
代数的保型形式の次元評価
- Principal Investigator
  
  都築正男
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Sophia University
Quantum probabilistic study of parametrized trace formulas and L-functionsPrincipal Investigator
- Principal Investigator
  
  Sugiyama Shingo
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kanazawa University
  Nihon University
Analysis of growing sequences of graphs in terms of quantum-classical correspondence and quantum chaos, and its applications
- Principal Investigator
  
  Saito Seiken
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12030:Basic mathematics-related
- Research Institution
  Kogakuin University
  Nagoya Bunri University
Study of explicit relative trace formulas for Galois type symmetric spacesPrincipal Investigator
- Principal Investigator
  
  SUGIYAMA Shingo
- Project Period (FY)
  2018 – 2019
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Nihon University

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation Book

[Book] 社会に最先端の数学が求められるワケ(2)2022
- Author(s)
  杉山真吾, 横山俊一
- Total Pages
  192
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-20K14298
[Journal Article] ディリクレL関数に対する重み付き1レベル密度2023
- Author(s)
  杉山真吾
- Journal Title
  
  数理解析研究所講究録「解析的整数論とその周辺」
  
  Volume: 2259 Pages: 102-114
- Open Access
- Data Source
  KAKENHI-PROJECT-20K14298
[Journal Article] Hecke作用素のレゾルベント跡公式とHurwitz類数の最適評価2023
- Author(s)
  杉山真吾
- Journal Title
  
  数理解析研究所講究録「保型表現の解析的・数論的研究」
  
  Volume: 2264 Pages: 143-156
- Open Access
- Data Source
  KAKENHI-PROJECT-20K14298
[Journal Article] モジュラー形式のHecke作用素の固有値の代数的整数性2023
- Author(s)
  杉山真吾
- Journal Title
  
  数理解析研究所講究録「代数的整数論とその周辺」
  
  Volume: 2269 Pages: 136-148
- Open Access
- Data Source
  KAKENHI-PROJECT-20K14298
[Journal Article] 対称べき L 関数の低い位置にある零点の重みつき密度について2022
- Author(s)
  杉山真吾
- Journal Title
  
  数理解析研究所講究録「保型形式、保型L関数とその周辺」
  
  Volume: 2230 Pages: 1-15
- Open Access
- Data Source
  KAKENHI-PROJECT-20K14298
[Journal Article] The Limit Theorem with Respect to the Matrices on Non-backtracking Paths of a Graph2022
- Author(s)
  Takehiro Hasegawa, Takashi Komatsu, Norio Konno, Hayato Saigo, Seiken Saito, Iwao Sato, Shingo Sugiyama
- Journal Title
  
  Annals of Combinatorics
  
  Volume: Published online: 15 Nov. 2022 Issue: 2 Pages: 249-268
- DOI
  10.1007/s00026-022-00617-z
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03405, KAKENHI-PROJECT-20K14298, KAKENHI-PROJECT-19K03608, KAKENHI-PROJECT-22K03246
[Journal Article] Quantitative non-vanishing of central values of certain L-functions on GL(2) x GL(3)2022
- Author(s)
  Sugiyama Shingo, Tsuzuki Masao
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: － Issue: 2 Pages: 1447-1479
- DOI
  10.1007/s00209-021-02886-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14298, KAKENHI-PROJECT-23K20785
[Journal Article] Weighted one-level density of low-lying zeros of Dirichlet L-functions2022
- Author(s)
  Shingo Sugiyama, Ade Irma Suriajaya
- Journal Title
  
  Research in Number Theory
  
  Volume: 8 Issue: 3 Pages: 55-55
- DOI
  10.1007/s40993-022-00359-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14298, KAKENHI-PROJECT-22K13895, KAKENHI-PROJECT-18K13400
[Journal Article] An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms2018
- Author(s)
  Shingo Sugiyama, Masao Tsuzuki
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 275 Issue: 11 Pages: 2978-3064
- DOI
  10.1016/j.jfa.2018.09.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21025, KAKENHI-PROJECT-15K04795
[Presentation] I-Bessel lattice sums and their relations to theta functions, coding theory and heat equations2024
- Author(s)
  杉山真吾
- Organizer
  第17回ゼータ若手研究集会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] I-Bessel lattice sums and their relations to theta functions, coding theory and heat equations2024
- Author(s)
  杉山真吾
- Organizer
  第17回ゼータ若手研究集会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03405
[Presentation] On relations between L-functions and random matrix theory2023
- Author(s)
  杉山真吾
- Organizer
  量子場の数理とその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] 同変関数の存在とSchwarz微分2023
- Author(s)
  杉山真吾
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] ベッセル関数の格子上の和とテータ関数、線型符号、半離散熱方程式との関係2023
- Author(s)
  杉山真吾
- Organizer
  エクスパンダーグラフの新しい構成手法の確立とその応用2
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Hecke作用素のレゾルベント跡公式とHurwitz類数の最適評価2023
- Author(s)
  杉山真吾
- Organizer
  RIMS共同研究(公開型)「保型表現の解析的・数論的研究」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Recent progress on the weighted density of low-lying zeros of L-functions in a family2023
- Author(s)
  杉山真吾
- Organizer
  Number Theory in Tokyo
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] ラマヌジャングラフと暗号学的ハッシュ関数2023
- Author(s)
  杉山真吾
- Organizer
  第16回ゼータ若手研究集会
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Hecke体の次数増大度の評価について2023
- Author(s)
  杉山真吾
- Organizer
  東工大数論・幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] L関数の族の重み付き零点密度とランダム行列理論について2023
- Author(s)
  杉山真吾
- Organizer
  北陸数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Weighted distribution of low-lying zeros of L-functions in a family2023
- Author(s)
  杉山真吾
- Organizer
  The eleventh Pan Asian Number Theory Conference (PANT 2023-Harbin)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] 保型形式とL関数の多角的研究について, これまでとこれから2023
- Author(s)
  杉山真吾
- Organizer
  金沢大学数理学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Weighted density conjecture for families of L-functions2023
- Author(s)
  杉山真吾
- Organizer
  Zeta Functions in OKINAWA 2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] ベッセル関数の格子上の和とテータ関数、線型符号、半離散熱方程式との関係2023
- Author(s)
  杉山真吾
- Organizer
  エクスパンダーグラフの新しい構成手法の確立とその応用2
- Invited
- Data Source
  KAKENHI-PROJECT-22K03405
[Presentation] ラマヌジャングラフの構成と暗号学的ハッシュ関数への応用2023
- Author(s)
  杉山真吾
- Organizer
  2023早稲田整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] シュワルツ微分と同変関数について2022
- Author(s)
  杉山真吾
- Organizer
  九大代数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] 対称べき L 関数の低い位置にある零点の重みつき密度について2022
- Author(s)
  杉山真吾
- Organizer
  RIMS共同研究(公開型)「保型形式、保型L関数とその周辺」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] On the existence of equivariant functions2022
- Author(s)
  杉山真吾
- Organizer
  多重ゼータ値の諸相
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Quantum walks and zeta functions2022
- Author(s)
  杉山真吾
- Organizer
  CRESTミニワークショップ「量子計算と暗号」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] モジュラー形式のヘッケ固有値の整数性とそのヘッケ体への応用2022
- Author(s)
  杉山真吾
- Organizer
  津田塾大学整数論ワークショップ2022
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Introduction to the Ramanujan-Petersson conjecture and subconvexity2022
- Author(s)
  杉山真吾
- Organizer
  第23回整数論オータムワークショップ "Analytic number theoretic aspects of automorphic L-functions"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] ディリクレL関数に対する重み付き1レベル密度2022
- Author(s)
  杉山真吾
- Organizer
  RIMS共同研究 (公開型)「解析的整数論とその周辺」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Quantum probability theory and the Hecke algebra of p-adic PGL(2)2022
- Author(s)
  杉山真吾
- Organizer
  Zeta Functions in OKINAWA 2022
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] The one-level density for Dirichlet L-functions weighted by L-values2022
- Author(s)
  杉山真吾
- Organizer
  第9回京都保型形式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Quantum probability theory and the Hecke algebra of p-adic PGL(2)2022
- Author(s)
  杉山真吾
- Organizer
  Zeta Functions in OKINAWA 2022
- Invited
- Data Source
  KAKENHI-PROJECT-22K03405
[Presentation] Weighted One-level Density for Symmetric Power L-Functions2022
- Author(s)
  杉山真吾
- Organizer
  Arithmetik an der A7
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] モジュラー形式のヘッケ固有値の代数的整数性2022
- Author(s)
  杉山真吾
- Organizer
  RIMS共同研究（公開型）「代数的整数論とその周辺2022」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] 同変関数の存在性とシュワルツ微分について2022
- Author(s)
  杉山真吾
- Organizer
  早稲田整数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Introduction to the Ramanujan-Petersson conjecture and subconvexity2022
- Author(s)
  Shingo Sugiyama
- Organizer
  第23回整数論オータムワークショップ,``Analytic number theoretic aspects of automorphic L-functions''
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20785
[Presentation] L関数と保型形式について2021
- Author(s)
  杉山真吾
- Organizer
  第17回ドレスト光子理論個別検討会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] グラフ上の後戻りのない道の個数の非可換化と極限定理2021
- Author(s)
  杉山慎吾
- Organizer
  ラマヌジャン・グラフの整数論による耐量子計算機暗号へのアプローチ(九州大学IMI共同利用・短期共同研究　非公開講演会), 九州大学(ZOOM開催に変更)
- Invited
- Data Source
  KAKENHI-PROJECT-19K03608
[Presentation] 四元数環を用いたラマヌジャングラフの明示的構成2021
- Author(s)
  杉山真吾
- Organizer
  スペクトラルグラフ理論および周辺領域, 第10回研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] グラフ上の後戻りのない道の個数の非可換化と極限定理2021
- Author(s)
  杉山真吾
- Organizer
  ラマヌジャン・グラフの整数論による耐量子計算機暗号へのアプローチ
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] ある保型L関数の族の零点分布について2021
- Author(s)
  杉山真吾
- Organizer
  Langlands and Harmonic Analysis 第5回
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Hilbertモジュラー形式の対称べきL関数のlow-lying zeroの分布とL関数の特殊値による重み付き分布について2020
- Author(s)
  杉山真吾
- Organizer
  Friday Tea Time Zoom Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Resolvent trace formulas and optimal estimates of the Kronecker-Hurwitz class numbers2020
- Author(s)
  杉山真吾
- Organizer
  第7回京都保型形式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Low-lying zeros of symmetric power L-functions weighted by L-values2020
- Author(s)
  Shingo Sugiyama
- Organizer
  Japan Europe Number Theory Exchange Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] 対称べきL関数のlow-lying zeroと対称2次L関数の特殊値について2020
- Author(s)
  杉山真吾
- Organizer
  神戸大学大学院理学研究科数学教室談話会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14298
[Presentation] Trace formulas on GL(2) weighted by automorphic formｓ2019
- Author(s)
  杉山真吾
- Organizer
  OberSeminar Analysis und Zahlentheorie
- Invited
- Data Source
  KAKENHI-PROJECT-19K21025
[Presentation] モジュラー形式の三重積に関係する変形された跡公式 (A variant of trace formula related with triple products of modular forms)2019
- Author(s)
  杉山真吾
- Organizer
  ＲＩＭＳ共同研究(公開型)「保型形式，保型表現とその周辺」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21025
[Presentation] On generalized trace formulas for GL(2)2019
- Author(s)
  杉山真吾
- Organizer
  2019早稲田大学整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19K21025
[Presentation] Integrality of Hecke eigenvalues for Hilbert and Siegel modular forms2019
- Author(s)
  杉山真吾
- Organizer
  上智数論ミニ集会(Number theory mini-workshop at Sophia)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21025
[Presentation] A cuspidal analogue of trace formula and nonvanishing central L-values for GL(2) × GL(3)2019
- Author(s)
  杉山真吾
- Organizer
  33rd Automorphic Forms Workshop
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21025
[Presentation] Hecke作用素のレゾルベント跡公式とその応用2019
- Author(s)
  杉山真吾
- Organizer
  東京理科大学理工学部数学科「談話会」
- Invited
- Data Source
  KAKENHI-PROJECT-19K21025
[Presentation] GL(2)の跡公式の一般化とL関数の特殊値への応用について2019
- Author(s)
  杉山真吾
- Organizer
  第64回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K21025
[Presentation] Jacquet-Zagier型跡公式について2018
- Author(s)
  杉山真吾
- Organizer
  香川セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K21025

1. Saito Seiken (90525164)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
2. 長谷川武博 (80409614)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
3. 西郷甲矢人 (80615154)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
4. 都築正男 (80296946)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. 若槻聡 (10432121)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. 谷口哲也 (90625500)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 権寧魯 (30302508)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 鈴木美裕 (50916517)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Sugiyama Shingo 杉山 真吾

SUGIYAMA Shingo 杉山 真吾

Research Projects

Research Products

Co-Researchers

Relations between special values of L-functions, zeros of L-functions, and random matrix theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis of quantum chaos on sequences of growing graphs

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

保型形式の周期の非消滅定理と漸近公式の研究

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

代数的保型形式の次元評価

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Quantum probabilistic study of parametrized trace formulas and L-functionsPrincipal Investigator

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Analysis of growing sequences of graphs in terms of quantum-classical correspondence and quantum chaos, and its applications

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Study of explicit relative trace formulas for Galois type symmetric spacesPrincipal Investigator

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[Book] 社会に最先端の数学が求められるワケ(2)2022

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[Journal Article] ディリクレL関数に対する重み付き1レベル密度2023

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[Journal Article] Hecke作用素のレゾルベント跡公式とHurwitz類数の最適評価2023

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[Journal Article] モジュラー形式のHecke作用素の固有値の代数的整数性2023

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[Journal Article] 対称べき L 関数の低い位置にある零点の重みつき密度について2022

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[Journal Article] The Limit Theorem with Respect to the Matrices on Non-backtracking Paths of a Graph2022

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[Journal Article] Quantitative non-vanishing of central values of certain L-functions on GL(2) x GL(3)2022

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[Journal Article] Weighted one-level density of low-lying zeros of Dirichlet L-functions2022

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Sugiyama Shingo 杉山真吾

SUGIYAMA Shingo 杉山真吾