Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level

Lynne Walling

doi:10.1016/j.jnt.2017.04.003

Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level

Lynne Walling

School of Mathematics

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Abstract

We extend some recent work of D. McCarthy, proving relations among some Fourier coefficients of a degree 2 Siegel modular form F with arbitrary level and character, provided there are some primes p so that F is an eigenform for the Hecke operators T(p) and T₁(p²).

Original language	English
Number of pages	11
Journal	Journal of Number Theory
Early online date	5 Jun 2017
DOIs	https://doi.org/10.1016/j.jnt.2017.04.003
Publication status	E-pub ahead of print - 5 Jun 2017

Keywords

Hecke eigenvalues
Siegel modular forms

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title = "Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level",

abstract = " We extend some recent work of D. McCarthy, proving relations among some Fourier coefficients of a degree 2 Siegel modular form F with arbitrary level and character, provided there are some primes p so that F is an eigenform for the Hecke operators T(p) and T1(p2).",

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N2 - We extend some recent work of D. McCarthy, proving relations among some Fourier coefficients of a degree 2 Siegel modular form F with arbitrary level and character, provided there are some primes p so that F is an eigenform for the Hecke operators T(p) and T1(p2).

AB - We extend some recent work of D. McCarthy, proving relations among some Fourier coefficients of a degree 2 Siegel modular form F with arbitrary level and character, provided there are some primes p so that F is an eigenform for the Hecke operators T(p) and T1(p2).

KW - Hecke eigenvalues

KW - Siegel modular forms

U2 - 10.1016/j.jnt.2017.04.003

DO - 10.1016/j.jnt.2017.04.003

M3 - Article (Academic Journal)

SN - 0022-314X

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level

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Keywords

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