205 citations · 703 across the 45 of their papers we have counts for
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An explicit refined Gan--Gross--Prasad identity for Fourier--Jacobi periods of degree 2 Siegel cusp forms
Biplab Paul, Ameya Pitale, Abhishek Saha +1
We compute the local integrals appearing in the refined Gan--Gross--Prasad conjecture for Fourier--Jacobi periods of in new ramified cases and use this to formulate…
Bounds on Fourier coefficients and global sup-norms for Siegel cusp forms of degree 2
Félicien Comtat, Jolanta Marzec-Ballesteros, Abhishek Saha
Let be an -normalized Siegel cusp form for of weight that is a Hecke eigenform and not a Saito--Kurokawa lift. Assuming the Generalized Rie…
Simple supercuspidal representations of and test vectors
Ameya Pitale, Abhishek Saha, Ralf Schmidt
We consider simple supercuspidal representations of over a -adic field and show that they have conductor exponent 5. We study (paramodular) newvectors and minim…
On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of degree 2
Biplab Paul, Abhishek Saha
We investigate some key analytic properties of Fourier coefficients and Hecke eigenvalues attached to scalar-valued Siegel cusp forms of degree 2, weight and level . Fir…
The special values of the standard -functions for
Shuji Horinaga, Ameya Pitale, Abhishek Saha +1
We prove the expected algebraicity property for the critical values of character twists of the standard -function associated to vector-valued holomorphic Siegel cusp forms of ar…
On fundamental Fourier coefficients of Siegel cusp forms of degree 2
Jesse Jääsaari, Stephen Lester, Abhishek Saha
Let be a Siegel cusp form of degree 2, even weight and odd squarefree level . We undertake a detailed study of the analytic properties of Fourier coefficients $a(…