Seminar

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.