Special numbers and special functions related to Ramanujan's mock modular forms

Seminar series

Number Theory Seminar

Date

Fri, 06 Dec 2013
16:00

Location

Speaker

Ken Ono

Organisation

Emory University

This lecture will cover two recent works on the mock modular
forms of Ramanujan.

I. Solution of Ramanujan's original conjectures about these functions.
(Joint work with Folsom and Rhoades)

II. A new theorem that mock modular forms are "generating functions" for
central L-values and derivatives of quadratic twist L-functions.
(Joint work with Alfes, Griffin, Rolen).