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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

A problem of Chowla and approximations by signed harmonic sums

Sandro Bettin
University of Genova
https://www.dima.unige.it/~bettin/index.html

Date(s) : 24/04/2018   iCal
11h00 - 12h00

We discuss the non-vanishing of Dirichlet series of the form $\sum_n f(n)d_k(n)/n^s$ at the point s=1, where f is a periodic function modulo q.
We then give a few results concerning the quality of the approximation of a real number \tau by sums of the form \sum_{n\leq N} c_n /n with c_n\in\{\pm1\}, as N goes to infinity.

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