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K-State Today

March 16, 2017

Mathematics Colloquium Lecture March 16

Submitted by Reta McDermott

Vorrapan Chandee, Burapha University, Thailand, will present "L-Functions and Extremal Problems" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Thursday, March 16, in 122 Cardwell Hall.

The abstract for the lecture is: L-functions are some of the most studied objects in number theory. A famous example of an L-function is the Riemann zeta function which has significant connections with the distribution of prime numbers. Interestingly, L-functions have many connections with other diverse topics of mathematics such as harmonic analysis, random matrix theory and probability. We may gain understanding of one of these objects through studying others. In this talk, we will see how bounding some objects, e.g size, argument of the Riemann zeta function, can be framed naturally as Beuring-Selberg extremal problems, which have been studied extensively in harmonic analysis. This talk is based on joint works with E. Carneiro, M. Milinovich, F. Littmann and K. Soundararajan.