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 $…
Bayesian inference for Gaussian graphical models beyond decomposable graphs
Kshitij Khare, Bala Rajaratnam, Abhishek Saha
Bayesian inference for graphical models has received much attention in the literature in recent years. It is well known that when the graph G is decomposable, Bayesian inference is…
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…