Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

The Arithmetic of Some Dirichlet L-Values

Abstract: Starting with the "Leibniz" formula for $\pi$

$ \pi/4 = 1 - 1/3 + 1/5 - 1/7 + \ldots$

the special values of Dirichlet L-functions have long been a source of fascination and frustration. From Euler's solution in 1734 of the Basel problem to Apery's proof in 1978 that zeta(3) is irrational, our progress on understanding the arithmetic of these numbers has been limited. In this talk, we  discuss some results (old and new) about these numbers. This is joint work with Vesselin Dimitrov and Yunqing Tang.

Date & Time

June 06, 2024 | 11:00am – 12:00pm


Princeton University McDonnell A02


Frank Calegari, University of Chicago