On a hybrid of the Hardy-Littlewood and Chowla conjectures

Abstract: I will discuss a hybrid of the Hardy-Littlewood prime tuples conjecture and Chowla's conjecture on the correlations of the Möbius function. In particular, it is shown that this hybrid conjecture holds "on average" unconditionally, and without averaging if Siegel zeros exist. This is based on joint works with Jared Lichtman and Terence Tao.

algebraic geometrynumber theory

Audience: researchers in the topic

Algebraic Geometry and Number Theory seminar - ISTA