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

Let F and G be Siegel cusp forms for Sp 4 ( Z ) and weights k 1 , k 2 , 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 o...

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Veröffentlicht in:	The Ramanujan journal 2021, Vol.54 (1), p.43-62
Hauptverfasser:	Gun, Sanoli, Kohnen, Winfried, Paul, Biplab
Format:	Artikel
Sprache:	eng
Schlagworte:	Arithmetic Combinatorics Cusps Eigenvalues Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory
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Zusammenfassung:	Let F and G be Siegel cusp forms for Sp 4 ( Z ) and weights k 1 , k 2 , 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.
ISSN:	1382-4090 1572-9303
DOI:	10.1007/s11139-020-00254-1