On a hybrid of the Hardy-Littlewood and Chowla conjectures
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date
Thursday, December 2, 2021 14:00 - 15:00
Speaker
Joni Teräväinen (University of Turku)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tim Browning
Contact
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.