On a hybrid of the Hardy-Littlewood and Chowla conjectures

Joni Teräväinen
Univ. Turku
https://sites.google.com/view/joniteravainen/

Date(s) : 07/12/2021   iCal
11 h 00 min - 12 h 00 min

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.

Emplacement
Site Sud, Luminy, Ancienne BU, Salle Séminaire2 (RdC)

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