Kikuta Toshiyuki 菊田俊幸

Researcher Number	60569953
Other IDs
Affiliation (Current)	2025: 福岡工業大学, 情報工学部, 准教授
Affiliation (based on the past Project Information) *help	2023: 福岡工業大学, 情報工学部, 准教授 2015 – 2022: 福岡工業大学, 情報工学部, 助教 2014: 立命館大学, 理工学部, 嘱託講師
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator テータ級数 / p進モジュラー形式 / Eisenstein級数 / テータ作用素 / Siegelモジュラー形式 / 合同 / 法p特異モジュラー形式 / Hermiteモジュラー形式 / 特異モジュラー形式 / Fourier係数 … More / ジーナステータ級数 / Siegelモジュラ―形式 / Sturm型の境界 / 次数付き環 / J. Sturm / 基底 / 2次形式 / 整数論 / モジュラー形式 / テータ作要素 / Sturm bound / ジーゲルモジュラー形式 / アイゼンシュタイン級数 / フーリエ係数 / ラマヌジャン作用素 / カスプ形式 / Ramanujan / Ramanujan作用素 / p進 Less

多変数モジュラー形式の合同、p進的性質の研究Principal Investigator
- Principal Investigator
  
  菊田俊幸
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Fukuoka Institute of Technology
Study of congruences and p-adic properties for modular forms with several variablesPrincipal Investigator
- Principal Investigator
  
  Kikuta Toshiyuki
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Fukuoka Institute of Technology
Study of congruences and p-adic properties for modular forms with several variablesPrincipal Investigator
- Principal Investigator
  
  Kikuta Toshiyuki
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Fukuoka Institute of Technology
  Ritsumeikan University

All 2022 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

[Journal Article] A ring of symmetric Hermitian modular forms of degree 2 with integral Fourier coefficients2019
- Author(s)
  Toshiytuki Kikuta
- Journal Title
  
  Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
  
  Volume: 89 Issue: 2 Pages: 209-223
- DOI
  10.1007/s12188-019-00205-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03229
[Journal Article] Sturm bounds for Siegel modular forms of degree 2 and odd weights2019
- Author(s)
  Toshiyuki Kikuta, Sho Takemori
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 291 Issue: 3-4 Pages: 1419-1434
- DOI
  10.1007/s00209-018-2213-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03229
[Journal Article] Weights of the mod p kernels of the theta operators2018
- Author(s)
  Siegfried Boecherer, Toshiyuki Kikuta, Sho Takemori
- Journal Title
  
  Canad. J. Math.
  
  Volume: 70 Issue: 2 Pages: 241-264
- DOI
  10.4153/cjm-2017-014-0
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800026
[Journal Article] On the theta operator for Hermitian modular forms of degree 22017
- Author(s)
  Toshiyuki Kikuta and Shoyu Nagaoka
- Journal Title
  
  Abh. Math. Semin. Univ. Hamburg
  
  Volume: 87 Issue: 1 Pages: 145-163
- DOI
  10.1007/s12188-016-0141-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05085, KAKENHI-PROJECT-26800026
[Journal Article] On mod p singular modular forms2016
- Author(s)
  Siegfried Boecherer, Toshiyuki Kikuta
- Journal Title
  
  Forum Mathematicum
  
  Volume: 28 Issue: 6 Pages: 1051-1065
- DOI
  10.1515/forum-2015-0062
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800026
[Journal Article] Note on Igusa's cusp form of weight 352015
- Author(s)
  Toshiyuki Kikuta, Hirotaka Kodama, Shoyu Nagaoka
- Journal Title
  
  Rocky Mountain Journal of Mathematics
  
  Volume: 45 Issue: 3 Pages: 963-972
- DOI
  10.1216/rmj-2015-45-3-963
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800026, KAKENHI-PROJECT-25400031
[Journal Article] Remark on Sturm bounds for Siegel modular forms of degree 22015
- Author(s)
  Toshiyuki Kikuta
- Journal Title
  
  Proceedings of the Japan Academy, Ser. A, Mathematical Sciences
  
  Volume: 91 Issue: 6 Pages: 82-84
- DOI
  10.3792/pjaa.91.82
- NAID
  40020519464
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800026
[Journal Article] Ramanujan type congruences for the Klingen-Eisenstein series2014
- Author(s)
  Toshiyuki Kikuta, Sho Takemori
- Journal Title
  
  Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg
  
  Volume: 84 Issue: 2 Pages: 257-266
- DOI
  10.1007/s12188-014-0098-2
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800026
[Presentation] 法p特異モジュラー形式の基底について2022
- Author(s)
  菊田俊幸
- Organizer
  稲田大学整数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03259
[Presentation] 整数のFourier係数をもつHermiteモジュラー形式環の構造について2019
- Author(s)
  菊田俊幸
- Organizer
  九大代数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03229
[Presentation] A ring of symmetric Hermitian modular forms over Z2019
- Author(s)
  菊田俊幸
- Organizer
  Days of Modular Forms (フーリエ研究所)
- Invited
- Data Source
  KAKENHI-PROJECT-18K03229
[Presentation] A ring of symmetric Hermitian modular forms over Z2019
- Author(s)
  菊田俊幸
- Organizer
  マンハイム大学数学講演会 (マンハイム大学)
- Invited
- Data Source
  KAKENHI-PROJECT-18K03229
[Presentation] Weights of the mod p kernels of theta operators2017
- Author(s)
  菊田俊幸
- Organizer
  アーヘン工科大学数学談話会　アーヘン工科大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800026
[Presentation] Weights of the mod p kernels of theta operators2017
- Author(s)
  菊田俊幸
- Organizer
  マンハイム大学数学講演会　マンハイム大学
- Invited
- Data Source
  KAKENHI-PROJECT-26800026
[Presentation] Siegelモジュラー形式の場合におけるRamanujan型の合同2014
- Author(s)
  菊田俊幸
- Organizer
  interdisciplinary seminar
- Place of Presentation
  近畿大学(産業理工学部) (福岡県)
- Year and Date
  2014-10-10
- Invited
- Data Source
  KAKENHI-PROJECT-26800026

1. KODAMA Hirotaka

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
2. TAKEMORI Sho

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
3. NAGAOKA Shoyu

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
4. Boecherer Siegfried

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results

Kikuta Toshiyuki 菊田 俊幸

Research Projects

Research Products

Co-Researchers

多変数モジュラー形式の合同、p進的性質の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of congruences and p-adic properties for modular forms with several variablesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of congruences and p-adic properties for modular forms with several variablesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A ring of symmetric Hermitian modular forms of degree 2 with integral Fourier coefficients2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Sturm bounds for Siegel modular forms of degree 2 and odd weights2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Weights of the mod p kernels of the theta operators2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the theta operator for Hermitian modular forms of degree 22017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On mod p singular modular forms2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Note on Igusa's cusp form of weight 352015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remark on Sturm bounds for Siegel modular forms of degree 22015

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Ramanujan type congruences for the Klingen-Eisenstein series2014

Author(s)

Journal Title

DOI

Data Source

[Presentation] 法p特異モジュラー形式の基底について2022

Author(s)

Organizer

Data Source

[Presentation] 整数のFourier係数をもつHermiteモジュラー形式環の構造について2019

Author(s)

Organizer

Data Source

[Presentation] A ring of symmetric Hermitian modular forms over Z2019

Author(s)

Organizer

Data Source

[Presentation] A ring of symmetric Hermitian modular forms over Z2019

Author(s)

Organizer

Data Source

[Presentation] Weights of the mod p kernels of theta operators2017

Kikuta Toshiyuki 菊田俊幸