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Number Theory Seminar: The Kohnen-Zagier formula and the partition function

Event Type
wifi event
Apr 26, 2022   11:00 am  
Nickolas Anderson (Brigham Young University).
Jesse Thorner

Meeting ID: 840 2782 4197

Password: 271403

Abstract: The Hardy-Ramanujan-Rademacher formula for the partition function provides a formula for p(n) as a rapidly converging infinite series. Via the Kuznetsov trace formula, bounds for the tail of the HRR series are connected with estimates for coefficients of Maass cusp forms that transform like the Dedekind eta function. We give an improved bound for these coefficients using a new Kohnen-Zagier formula which allows us to relate the coefficients to central values of twisted Maass form L-functions. This is joint work with Han Wu.

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