June 21, 2024

Thematic Year on Automorphic Forms

February 6, 2003 - 2:00 pm
Wentang Kuo, Queens University
On a conjecture of Birch and Swinnerton-Dyer

In their early papers entitled 'Notes on Elliptic Curves', Birch and Swinnerton-Dyer formulated a conjecture about the convergence of certain Euler products. This conjecture was a precursor that led to the more refined and celebrated conjecture relating ranks of elliptic curves to orders of zeros of L-functions. We will show that the 'original' Birch and Swinnerton-Dyer conjecture lies far far beyond the Riemann hypothesis and that it is likely to be true, but unlikely to proved in this millennium.

This is joint work with Ram Murty.

For more details on the thematic year, see Program Page