Incomplete elliptic integrals in Ramanujan's lost notebook

Combinatorics/Partitions Seminar

Meeting Details

For more information about this meeting, contact Matthew Katz, James Sellers, Stephanie Geyer, George Andrews.

Speaker: Daniel Schultz, PSU

Abstract: On pages 51-53 of his lost notebook, Ramanujan expressed integrals of eta functions as incomplete elliptic integrals of certain quotients of eta functions. I will show how these identities arise in a systematic manner from the classical modular curve X0(N) for several N as well give some explicit examples for the identities recorded by Ramanujan.

Room Reservation Information

Room Number: 106 McAllister

Date: 02/24/2015

Time: 11:15am - 12:05pm