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 (02:00 PM PDT - 02:50 PM PDT)
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Location: SLMath: Eisenbud Auditorium
Speaker(s) Matthew Alderson
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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.

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