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

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017

Exponential sums with automatic sequences

Sary Drappeau, Clemens Müllner

We show that automatic sequences are asymptotically orthogonal to periodic exponentials of type $e_{q} (f (n))$ , where $f$ is a rational fraction, in the Pólya-Vinogradov range. This a…

math.NT2017★ 1 cited

Statistical distribution of the Stern sequence

Sandro Bettin, Sary Drappeau, Lukas Spiegelhofer

We prove that the Stern diatomic sequence is asymptotically distributed according to a normal law, on a logarithmic scale. This is obtained by studying complex moments, and the ana…

math.NT2017★ 8 cited

Smooth-supported multiplicative functions in arithmetic progressions beyond the $x^{1/2}$ -barrier

Sary Drappeau, Andrew Granville, Xuancheng Shao

We show that smooth-supported multiplicative functions $f$ are well-distributed in arithmetic progressions $a_{1} a_{2}^{- 1} (mod q)$ on average over moduli $q \leq x^{3/5 - ε}$ …

Exponential sums with automatic sequences

Statistical distribution of the Stern sequence

Smooth-supported multiplicative functions in arithmetic progressions beyond the x1/2-barrier

Smooth-supported multiplicative functions in arithmetic progressions beyond the $x^{1/2}$ -barrier