Thursday, May 13, 2021

Siddhi Pathak - May 13, 2021 - 3:55 -5:00 PM (IST)

The next speaker in our series is Siddhi Pathak, S. Chowla Research Assistant Professor, Penn State University. The talk announcement is below.

Talk Announcement:

Title: Special values of L-functions

Speaker: Siddhi Pathak (Penn State)
When: May 13, 2021 - 3:55 PM - 5:00 PM (IST)

Where: Zoom (the link will be sent by email to our list)
Live link:

Tea or Coffee: Please bring your own.

Abstract: In 1730s, Euler resolved the famous Basel problem by evaluating values of the Riemann zeta-function at even positive integers as rational multiples of powers of pi. Thus, we recognize that the values \zeta(2k) are transcendental and algebraically dependent. The situation is drastically different for odd zeta-values, that are not only expected to be transcendental, but also algebraically independent. Although we are far from proving this, there has been striking progress in the work of Apery, and more recently by Ball-Rivoal, Zudilin and others. In this talk, we discuss the analogous problem for Dirichlet L-functions, more generally, Dirichlet series with periodic coefficients.

This talk will be accessible to graduate students.

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