8 citations · 9 across the 11 of their papers we have counts for
12 papers
Hecke operators on Hilbert-Siegel theta series
Dan Fretwell, Lynne Walling
We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that average Hilbert-Siegel theta series are eigenforms for…
Higher level quadratically twisted Gauss sums and totally isotropic subspaces
Lynne Walling
We consider a generalized Gauss sum supported on matrices over a number field. We evaluate this Gauss sum and relate it to the number of totally isotropic subspaces of related quad…
Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series
Lynne H. Walling
We find nice representatives for the 0-dimensional cusps of the degree Siegel upper half-space under the action of $Γ_0(\stufe)$. To each of these we attach a Siegel Eisenstein…
Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level
Lynne H. Walling
We extend some recent work of D. McCarthy, proving relations among some Fourier coefficients of a degree 2 Siegel modular form with arbitrary level and character, provided ther…
Hecke operators on half-integral weight Siegel Eisenstein series
Lynne H. Walling
We construct a basis for the space of half-integral weight Siegel Eisenstein series of level 4N where N is odd and square-free. Then we restrict our attention to those Eisenstein s…
Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character
Lynne H. Walling
We evaluate the action of Hecke operators on Siegel Eisenstein series of arbitrary degree, level and character. For square-free level, we simultaneously diagonalise the space with…