49 citations · 178 across the 28 of their papers we have counts for
6 papers · 1 filter
On the non-vanishing of certain Dirichlet series
Sandro Bettin, Bruno Martin
Given , we study the vanishing of the Dirichlet series at the point , where is a periodic function modulo a pri…
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…
A conjectural extension of Hecke's converse theorem
Sandro Bettin, Jonathan W. Bober, Andrew R. Booker +6
We formulate a precise conjecture that, if true, extends the converse theorem of Hecke without requiring hypotheses on twists by Dirichlet characters or an Euler product. The main…
Linear correlations of the divisor function
Sandro Bettin
Motivated by arithmetic applications on the number of points in a bihomogeneous variety and on moments of Dirichlet -functions, we provide analytic continuation for the series $…
A congruence sum and rational approximations
Sandro Bettin
We give a reciprocity formula for a two-variable sum where the variables satisfy a linear congruence condition. We also prove that such sum is a measure of how well a rational is a…
High moments of the Estermann function
Sandro Bettin
For the Estermann function is defined as if and by meromorphic continuation otherwise.…