205 citations · 703 across the 45 of their papers we have counts for
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Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level
Martin Dickson, Ameya Pitale, Abhishek Saha +1
We formulate an explicit refinement of Böcherer's conjecture for Siegel modular forms of degree 2 and squarefree level, relating weighted averages of Fourier coefficients with spec…
Hybrid sup-norm bounds for Maass newforms of powerful level
Abhishek Saha
Let be an -normalized Hecke--Maass cuspidal newform of level , character and Laplace eigenvalue . Let denote the smallest integer such that and $…
Representations of SL_2(R) and nearly holomorphic modular forms
Ameya Pitale, Abhishek Saha, Ralf Schmidt
In this semi-expository note, we give a new proof of a structure theorem due to Shimura for nearly holomorphic modular forms on the complex upper half plane. Roughly speaking, the…
Lowest weight modules of Sp_4(R) and nearly holomorphic Siegel modular forms
Ameya Pitale, Abhishek Saha, Ralf Schmidt
We undertake a detailed study of the lowest weight modules for the Hermitian symmetric pair (G,K), where G=Sp_4(R) and K is its maximal compact subgroup. In particular, we determin…