Satadal Ganguly

activity

20132025

collaborators

4 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

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.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

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

Coprimality of Fourier coefficients of eigenforms

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

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