UBC Number Theory Seminar: Seoyoung Kim
- Date: 11/16/2023
- Time: 14:00
Lecturer(s):
Seoyoung Kim, University of Göttingen
Location:
University of British Columbia
Topic:
Birch and Swinnerton-Dyer conjecture and Nagao's conjecture
Description:
In 1965, Birch and Swinnerton-Dyer formulated a conjecture on the Mordell-Weil rank r of elliptic curves which also implies the convergence of the Nagao-Mestre sum. We show that if the Nagao-Mestre sum converges, then the limit equals −r+1/2, and study the connections to the Riemann hypothesis for E. We also relate this to Nagao’s conjecture. Furthermore, we discuss a generalization of the above results for the Selberg classes and hence (conjecturally) for larger classes of L-functions.
Other Information:
Location: ESB 4133
Time: 2pm Pacific