29 citations · 107 across the 27 of their papers we have counts for
29 papers
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…
Petersson norms of Borcherds theta lifts to O(1, 8n+1) with applications to injectivity and sup-norm bounds
Simon Marshall, Hiroaki Narita, Ameya Pitale
We give an explicit formula for the Petersson norms of theta lifts from Maass cusp forms of level one to cusp forms on orthogonal groups O(1,8n+1). Our formula explicitly determine…
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…
An explicit lifting construction of CAP forms on O(1,5)
Hiro-aki Narita, Ameya Pitale, Siddhesh Wagh
We explicitly construct non-tempered cusp forms on the orthogonal group O(1,5) of signature (1+,5-). Given a definite quaternion algebra B over , the orthogonal group i…
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…
Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series
Ameya Pitale, Abhishek Saha, Ralf Schmidt
We study nearly holomorphic Siegel Eisenstein series of general levels and characters on , the Siegel upper half space of degree . We prove that the Fourier co…