8 citations · 23 across the 7 of their papers we have counts for
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Algebraicity of Spin -functions for
Ellen Eischen, Giovanni Rosso, Shrenik Shah
We prove algebraicity of critical values of certain Spin -functions. More precisely, our results concern for cuspidal automorphic representations as…
A class number formula for Picard modular surfaces
Aaron Pollack, Shrenik Shah
We investigate arithmetic aspects of the middle degree cohomology of compactified Picard modular surfaces attached to the unitary similitude group for an ima…
Multivariate Rankin-Selberg integrals on and
Aaron Pollack, Shrenik Shah
Inspired by a construction of Bump, Friedberg, and Ginzburg of a two-variable integral representation on for the product of the standard and spin -functions, we…
A multivariate integral representation on inspired by the pullback formula
Aaron Pollack, Shrenik Shah
We give a two variable Rankin-Selberg integral inspired by consideration of Garrett's pullback formula. For a globally generic cusp form on , th…
The Spin -function on via a non-unique model
Aaron Pollack, Shrenik Shah
We give two global integrals that unfold to a non-unique model and represent the partial Spin -function on . We deduce that for a wide class of cuspidal automorp…
On the Rankin-Selberg integral of Kohnen and Skoruppa
Aaron Pollack, Shrenik Shah
The Rankin-Selberg integral of Kohnen and Skoruppa produces the Spin -function for holomorphic Siegel modular forms of genus two. In this paper, we reinterpret and extend their…
Interpolating Hodge-Tate and de Rham Periods
Shrenik Shah
We study the interpolation of Hodge-Tate and de Rham periods over rigid analytic families of Galois representations. Given a Galois representation on a coherent locally free sheaf…