Moments of class numbers and distributions of traces of Frobenius in arithmetic progressions

Ben Kane (University of Hong Kong)

08-Oct-2021, 08:00-09:00 (4 years ago)

Abstract: In this talk, we will show how to use techniques from the theory of non-holomorphic modular forms to study moments of Hurwitz class numbers (of binary quadratic forms) with an application to studying the distribution of normalized trace of Frobenius on elliptic curves when the trace is restricted to a fixed arithmetic progression. This is joint work with Kathrin Bringmann and Sudhir Pujahari.

number theory

Audience: researchers in the topic


SNU Number Theory Seminar

Organizer: Dohyeong Kim*
Curators: Byeong-Kweon Oh, Hwajong Yoo, Junho Peter Whang
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