S. Drappeau

activity

20132026

most citedSums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method

29 citations · 79 across the 18 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 1 cited

On quantum modular forms of non-zero weights

Sandro Bettin, Sary Drappeau

We study functions $f$ on $Q$ which statisfy a ``quantum modularity'' relation of the shape $f (x + 1) = f (x), f (x) - ∣ x ∣^{- k} f (- 1/ x) = h (x)$ where $h:\mathbb R_{\ne…

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

Central values of additive twists of Maaß forms $L$ -functions

Sary Drappeau, Asbjørn Christian Nordentoft

In the present paper we study the central values of additive twists of Maaß forms $L$ -series. In the case of the modular group, we show that the additive twists (when averaged over…

On quantum modular forms of non-zero weights

A modular analogue of a problem of Vinogradov

Central values of additive twists of Maaß forms L-functions

Central values of additive twists of Maaß forms $L$ -functions