Strong multiplicity one for Siegel cusp forms of degree two-Reference-Cited by-同舟云学术

Strong multiplicity one for Siegel cusp forms of degree two

Published:2021-08-26 Issue:5 Volume:33 Page:1157-1167
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Kumar Arvind¹^ORCID,Meher Jaban²,Shankhadhar Karam Deo³

Affiliation:

1. Einstein Institute of Mathematics , The Hebrew University of Jerusalem , Edmund Safra Campus , Jerusalem 91904 , Israel

2. School of Mathematical Sciences , National Institute of Science Education and Research , Bhubaneswar , HBNI, P. O. Jatni, Khurda 752050, Odisha , India

3. Department of Mathematics , Indian Institute of Science Education and Research Bhopal , Bhopal Bypass Road, Bhauri , Bhopal 462 066, Madhya Pradesh , India

Abstract

Abstract We prove strong multiplicity one results for Siegel eigenforms of degree two for the symplectic group Sp 4 ⁡ ( ℤ )

{\operatorname{Sp}_{4}(\mathbb{Z})}

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2020-0336/pdf

Reference20 articles.

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3. L. V. Dieulefait, Irreducibility of Galois actions on level 1 Siegel cusp forms, Modular Curves and Abelian Varieties, Progr. Math. 224, Birkhäuser, Basel (2004), 75–80.

4. D. W. Farmer, A. Pitale, N. C. Ryan and R. Schmidt, Multiplicity one for L-functions and applications, preprint (2013), https://arxiv.org/abs/1305.3972.

5. N. Kurokawa, On Siegel eigenforms, Proc. Japan Acad. Ser. A Math. Sci. 57 (1981), no. 1, 47–50.

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