Monday, Apr. 6

Speaker: Rizwan Khan, UCLA

Title: The second moment of Dirichlet twists of Hecke L-functions

Fix a Hecke cusp form f, and consider the L-function of f twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus q, what is the average behavior of the square of the central value of this L-function? The answer was known only for q having very few prime factors, and we extend this to almost all q. This is joint work with P. Gao and G. Ricotta. This talk will be analytic in flavor and accessible to graduate students.