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

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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…