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

Lynne H. Walling

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arXiv · 1608.00158

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

Lynne H. Walling

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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 $q$ so that $F$ is an eigenform for the Hecke operators $T(q)$ and $T_1(q^2)$.

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Lynne H. Walling. 2016-07-30. Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level. https://arxiv.org/abs/1608.00158

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