Posted in

Speaker:

Oleksiy Klurman
Affiliation:

University of Bristol/MPIM
Date:

Wed, 2021-04-28 14:30 - 15:30
Parent event:

Number theory lunch seminar I will discuss joint work with A. Mangerel, where we establish a general

joint equidistribution result for the Fourier coefficients of Hecke cusp

forms. One simple to state consequence of such a result is that the set of

integers with, say, $\tau(n+2)<\tau(n+1)<\tau(n)$ where $\tau$ is

the Ramanujan $\tau$-function, has a positive upper density

(previously, even the infinitude of such a set was unknown).

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