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On a hybrid of the Hardy-Littlewood and Chowla conjectures


Date: Thursday, December 2, 2021 14:00 - 15:00
Speaker: Joni Teräväinen (University of Turku)
Location: https://mathseminars.org/seminar/AGNTISTA
Series: Mathematics and CS Seminar
Host: Tim Browning

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.


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