Number Theory Seminar: Nov 17

[William Stein]

At 3:35pm November 17, 2011 in Padelford C-401.

== SPEAKER: Jon Bober (Univ of Washington) ==
== TITLE: Using the explicit formula to bound ranks of elliptic curves ==
== Abstract ==
I'll describe an analytic method which, assuming the Riemann
hypothesis and the BSD conjecture, often gives good upper bounds for
the ranks of elliptic curves. The method has its origins in the work
of Mestre, and was used by Fermigier in 1996, but does not seem to
have been used much since then. As an example of why it is nice I'll
show how to get tight upper bounds for curves of rank 20 through 24,
and will get something pretty close for a curve of rank at least 28.

See http://wiki.wstein.org/seminar/nt/20111117

--
William Stein
Professor of Mathematics
University of Washington
http://wstein.org