Satadal Ganguly

activity

20132025

most citedStrong orthogonality between the Möbius function, additive characters, and Fourier coefficients of cusp forms

32 citations · 32 across the 6 of their papers we have counts for

collaborators

7 papers

math.NT2025

Distribution of integer points on determinant surfaces and a $mod- p$ analogue

Satadal Ganguly, Rachita Guria

We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form $x y - z w = r$ , where $r$ is a non-zero integer, with an explicit main t…

math.NT2024

Lattice points on determinant surfaces and the spectrum of the automorphic Laplacian

Satadal Ganguly, Rachita Guria

We use classical Fourier analysis along with tools from the spectral theory of Automorphic forms to derive an asymptotic formula with a strong error term for the number of integer…

math.NT2022

A modular analogue of a problem of Vinogradov

Ratnadeep Acharya, Sary Drappeau, Satadal Ganguly +1

Given a primitive, non-CM, holomorphic cusp form $f$ with normalized Fourier coefficients $a (n)$ and given an interval $I \subset [- 2, 2]$ , we study the least prime $p$ such that $a…

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 $a_{1} (n)$ and $a_{2} (n)$ , we count positive integers $n$ with $(a_{1} (n), a_{2} (n)) = 1$ and make…

math.NT2019

Singular Gauss sums, Polya-Vinogradov inequality for $G L (2)$ and growth of primitive elements

Satadal Ganguly, C. S. Rajan

We establish an analogue of the classical Polya-Vinogradov inequality for $GL(2, \F_p)$, where $p$ is a prime. In the process, we compute the `singular' Gauss sums for $GL(2, \F_p)…

math.NT2013★ 32 cited

Strong orthogonality between the Möbius function, additive characters, and Fourier coefficients of cusp forms

Étienne Fouvry, Satadal Ganguly

Let $ν_{f} (n)$ be the $n$ -th nomalized Fourier coefficient of a Hecke--Maass cusp form $f$ for $SL (2, Z)$ and let $α$ be a real number. We prove strong oscillations of the ar…

math.NT2013

Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions

Étienne Fouvry, Satadal Ganguly, Emmanuel Kowalski +1

We show that, in a restricted range, the divisor function of integers in residue classes modulo a prime follows a Gaussian distribution, and a similar result for Hecke eigenvalues…

Distribution of integer points on determinant surfaces and a mod-p analogue