Taku Ishii

(石井卓)

Profile Information

Affiliation: Professor, Faculty of Global Studies and Sustainability Department of Global Studies and Sustainability, Seikei University

Degree: Doctor(Mathematical Sciences)(The University of Tokyo)

J-GLOBAL ID: 200901096597052176
researchmap Member ID: 5000067957

Research Interests

Research Areas

Natural sciences / Algebra /

Research History

Sep, 2008 - Present

Faculty of Science and Technology, Seikei University
Apr, 2005 - Aug, 2008

Faculty of Engineering, Chiba Institute of Technology

Education

Papers

Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:mrow> <mml:mi mathvariant="normal">GL</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>4</mml:mn> <mml:mo>,</mml:mo> <mml:mi mathvariant="double-struck">R</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:math>

Miki Hirano, Taku Ishii, Tadashi Miyazaki

Journal of Functional Analysis, 290(6) 111303-111303, Mar, 2026
Archimedean Bump-Friedberg integrals on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mrow><mml:mi mathvariant="normal">GL</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>

Miki Hirano, Taku Ishii, Tadashi Miyazaki

Journal of Number Theory, 279 411-456, Feb, 2026
Calculus of archimedean Rankin–Selberg integrals with recurrence relations

Taku Ishii, Tadashi Miyazaki

Representation Theory of the American Mathematical Society, 26(25) 714-763, Jul 6, 2022

<p>Let and be positive integers such that . Let be either or . Let and be maximal compact subgroups of and , respectively. We give the explicit descriptions of archimedean Rankin–Selberg integrals at the minimal - and -types for pairs of principal series representations of and , using their recurrence relations. Our results for can be applied to the arithmetic study of critical values of automorphic -functions.</p>
Archimedean zeta integrals for GL(3)×GL(2)

Miki Hirano, Taku Ishii, Tadashi Miyazaki

Memoirs of Amer. Math. Soc., 1366, 2022 Peer-reviewed
Godement-Jacquet integrals on GL(n,C)

Taku Ishii

The Ramanujan Journal, 49 129-139, 2019 Peer-reviewed

Professional Memberships

Research Projects

実簡約群上の一般化された球関数とアルキメデスゼータ積分

科学研究費助成事業, 日本学術振興会, Apr, 2023 - Mar, 2027

石井卓
一般化された球関数とアルキメデスゼータ積分の明示的研究

科学研究費助成事業基盤研究(C), 日本学術振興会, Apr, 2019 - Mar, 2023

石井卓
Explicit study on spherical functions on reductive groups and archimedean zeta integrals

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2019

Ishii Taku
spherical functions on real reductive groups and archimedean zeta integrals

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2016

Ishii Taku
Arithmetic study of automorphic forms of many variables by various method

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

ODA Takayuki, HIRONAKA Yumiko, WAKATSUKI Satoshi, KOSEKI Harutaka, HAYATA Takahiro, TSUZUKI Masao, HIRANO Miki, GON Yasuro, ISHI Taku

To the list screen