UBC Number Theory Seminar: Seoyoung Kim
Topic
Birch and Swinnerton-Dyer conjecture and Nagao's conjecture
Speakers
Details
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.
This is a Past Event
Event Type
Scientific, Seminar
Date
November 16, 2023
Time
-
Location