Logo

Mathematical Sciences Research Institute

Home » Computing critical values of quadratic Dirichlet L-functions, with an eye toward their moments.

Seminar

Computing critical values of quadratic Dirichlet L-functions, with an eye toward their moments. April 18, 2011 (02:00PM PDT - 02:50PM PDT)
Location: MSRI: Simons Auditorium
Speaker(s) Matthew Alderson
Description No Description

Video
No Video Uploaded
Abstract/Media

Moments of L-functions has been a topic of intense research in recent years. Through the integration of random matrix theory and multiple Dirichlet series with traditional number theoretic arguments, methods for studying the moments of L-functions have been developed and, in turn, have lead to many well-posed conjectures for their behavior. In my talk, I will discuss the (integral) moments of quadratic DIrichlet L-functions evaluated at the critical point s=1/2. In particular, I will present formulas for computing the critical values for such L-functions and then compare the data for the corresponding moments to the (aforementioned) conjectured moments.

No Notes/Supplements Uploaded No Video Files Uploaded