Incomplete elliptic integrals in Ramanujan's lost notebook
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
Time: 11:15am - 12:05pm