Oleksiy Klurman
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Oleksiy Klurman,
KTH Royal Institute of Technology, Stockholm, SUÈDE

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Joint distribution of multiplicative functions

Understanding the joint behaviour of (*f*(*n*), *g*(*n*+1)), where *f* and
*g* are given multiplicative functions, play a key role in analytic number theory

with potentially profound consequences such as Riemann hypothesis, twin prime conjecture, Chowla's conjecture
and many others.

I will discuss how one can combine recent breakthroughs by Matomaki-Radziwiłł and Tao together with
some ideas from additive combinatorics

to answer an old question of Katai about distribution of points
{(*f*(*n*), *g*(*n*+1))}_{n ≥ 1} in **C**^{2}, where
*f* and *g* are multiplicative functions.

This talk is based on a joint work with A. Mangerel.