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math.NT2011
A formula for the action of Hecke operators on half-integral weight Siegel modular forms and applications
Lynne H. Walling
We introduce an alternate set of generators for the Hecka algebra, and give an explicit formula for the action of these operators on Fourier coefficients. With this, we compute the…
math.NT2011
Toward explicit formulas for higher representation numbers of quadratic forms
Lynne H. Walling
It is known that average Siegel theta series lie in the space of Siegel Eisenstein series. Also, every lattice equipped with an even integral quadratic form lies in a maximal latti…
math.NT2011
Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series
Lynne H. Walling
We evaluate the action of Hecke operators on Siegel Eisenstein series of degree 2, square-free level and arbitrary character, without using knowledge of their Fourier coefficients.…