3 citations · 6 across the 11 of their papers we have counts for
11 papers
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…
The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms
Moni Kumari, Jyoti Sengupta
Let and be two Hecke-Maass cusp forms of weight zero for with Laplacian eigenvalues and , respectively. Then both have…
On Hecke eigenvalues of Siegel modular forms in the Maass space
Sanoli Gun, Biplab Paul, Jyoti Sengupta
In this article, we prove an omega-result for the Hecke eigenvalues of Maass forms which are Hecke eigenforms in the space of Siegel modular forms of weight , genus…
A case of simultaneous non-vanishing
Ritabrata Munshi, Jyoti Sengupta
We show that for an even number and a sufficiently large prime , there exists a newform of weight and level such that $$ L(1/2,f)L(1/2,\text{Sym}^2 f)\neq 0…
Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha)
Emmanuel Royer, Jyoti Sengupta, Jie Wu
In this paper, we show that half of non-zero coefficients of the spinor zeta function of a Siegel cusp form of genus 2 are positive and half are negative.
On a convolution series attached to a Siegel Hecke cusp form of degree 2
Soumya Das, Winfried Kohnen, Jyoti Sengupta
We prove that the "naive" convolution Dirichlet series D_2(s) attached to a degree 2 Siegel Hecke cusp form F, has a pole at s=1. As an application, we write down the asymptotic fo…