Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two

Gun, Sanoli ; Kohnen, Winfried ; Paul, Biplab (2021) Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two The Ramanujan Journal, 54 (1). pp. 43-62. ISSN 1382-4090

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Official URL: http://doi.org/10.1007/s11139-020-00254-1

Related URL: http://dx.doi.org/10.1007/s11139-020-00254-1

Abstract

Let F and G be Siegel cusp forms for Sp4(Z) and weights k1,k2, respectively. Also let F and G be Hecke eigenforms lying in distinct eigen spaces. Further suppose that neither F nor G is a Saito–Kurokawa lift. In this article, we study simultaneous arithmetic behaviour of Hecke eigenvalues of these Hecke eigenforms.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature.
Keywords:Siegel Modular Forms; Hecke Eigenvalues; Multiplicity One Theorem; Simultaneous Non-Vanishing.
ID Code:118029
Deposited On:11 May 2021 09:19
Last Modified:11 May 2021 09:19

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