Chowla and Sarnak Conjectures for Kloosterman Sums

Abstract

We formulate several analogues of the Chowla and Sarnak conjectures, which are widely known in the setting of the Möbius function, in the setting of Kloosterman sums. We then show that for Kloosterman sums, in some cases, these conjectures can be established unconditionally.

References in corpus (1)

• Higher uniformity of bounded multiplicative functions in short intervals on average

Cited by in corpus (1)

• Kloosterman sums do not correlate with periodic functions