Kloosterman sums and low complexity sequences

par Raphaël Steiner (ETH Zurich, Suisse)

lundi 13 mars 2023, 11:00 → 12:00 Europe/Paris

Salle Grisvard, IHP, Paris

Kloosterman sums much like the Möbius function exhibit plenty of randomness. We formulate the analogues of the Chowla and Sarnak conjectures for the Kloosterman sums and prove them in some cases. In particular, we show that Kloosterman sums do not correlate with periodic functions in both vertical and horizontal directions.

This is joint work with El H. El Abdalaoui and I. Shparlinski.