Mathematical Sciences Research Institute

Home » Low lying zeros: Lower order terms for the one-level density of elliptic curve L-functions

Seminar

Low lying zeros: Lower order terms for the one-level density of elliptic curve L-functions March 02, 2011 (01:30 PM PST - 02:30 PM PST)
Parent Program: -- MSRI: Simons Auditorium
Speaker(s) Duc Khiem Huynh
Description Location: Simons Auditorium



Speaker: Duc Khiem Huynh

Title: Lower order terms for the one-level density of elliptic curve
L-functions

Abstract:
The L-function ratios conjectures - motivated by analogous random
matrix theorems - give precise predictions for averages over families
of ratios of products of shifted L-functions. We present an
application by deriving lower order terms for the one-level density of
elliptic curve L-functions. We discuss how these terms together with
other arithmetical information can model elliptic curve L-functions in
terms of random matrices.



Video