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math.NT2017
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…
math.NT2017
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…