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Home » ANT Postdoc Seminar: Sums of Kloosterman sums of half-integral weight

Seminar

ANT Postdoc Seminar: Sums of Kloosterman sums of half-integral weight April 21, 2017 (11:00 AM PDT - 11:50 AM PDT)
Parent Program: Analytic Number Theory
Location: MSRI: Simons Auditorium
Speaker(s) Nickolas Andersen (University of California, Los Angeles)
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Abstract/Media

Many problems in analytic number theory can be reduced to the problem of measuring cancellation among sums of Kloosterman sums. In this colloquium-style talk, I will give a brief overview of what is currently known in the classical case of integral weight, including Kuznetsov's groundbreaking result from 1980 and recent progress of Sarnak and Tsimerman. I will then present a result, joint with Ahlgren, in which we treat the half-integral weight case, and I will give an application to the classical partition function.

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