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SUMMARY:Oleksiy Klurman (University of Bristol)
DTSTART:20210125T121500Z
DTEND:20210125T131500Z
DTSTAMP:20260423T022935Z
UID:WarsawNT/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/20/
 ">Monotone chains of Hecke cusp forms</a>\nby Oleksiy Klurman (University 
 of Bristol) as part of Warsaw Number Theory Seminar\n\nLecture held in cur
 rently online.\n\nAbstract\nWe discuss a general joint equidistribution re
 sult for the Fourier coefficients of Hecke cusp forms. One simple conseque
 nce of such a result is that there exist infinitely many integers n (in fa
 ct an upper density of this set is positive) such that \n$\\tau (n)<\\tau 
 (n+1)<\\tau(n+2)$ where $\\tau$ is a Ramanujan $\\tau$-function. This is b
 ased on a joint work with A. Mangerel (CRM).\n
LOCATION:https://researchseminars.org/talk/WarsawNT/20/
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