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math.NT2022
The quantitative distribution of Hecke eigenvalues of Maass forms
Moni Kumari, Jyoti Sengupta
Let be a normalized Hecke-Maass cusp form of weight zero for the group . This article presents several quantitative results about the distribution of Hecke eig…
math.NT2022
Coprimality of Fourier coefficients of eigenforms
Satadal Ganguly, Arvind Kumar, Moni Kumari
Given a pair of distinct non-CM normalized eigenforms having integer Fourier coefficients and , we count positive integers with and make…
math.NT2022★ 1 cited
On the Lang--Trotter conjecture for Siegel modular forms
Arvind Kumar, Moni Kumari, Ariel Weiss
Let be a genus two cuspidal Siegel modular eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated to , generalising…