# Algebra/Number Theory Seminar

## Special values of L-functions - a classical approach

Siddhi Pathak, Chennai Mathematical Institute, India

Thursday, March 31st, 2022
11:00 AM - 12:00 PM
Zoom id 566 385 6457 (no password)

In 1734, Euler observed that the values of the Riemann zeta-function at even positive integers are rational multiples of powers of $$\pi$$. However, the odd zeta-values remain a mystery to this day. In fact, it is widely believed that the odd zeta-values do not satisfy any polynomial relation over the rationals with $$\pi$$. Almost three centuries after Euler, several different perspectives have emerged to study the general case of special values of L-functions. In this talk, we discuss a more analytic and classical approach and describe recent progress on related conjectures by Chowla, Erdos and Milnor.

Event contact: dinesh dot thakur at rochester dot edu