PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Ruminations on Pages 335 and 336 in Ramanujan's Lost Notebook
Seminar:Combinatorics/Partitions Seminar
Speaker:Dr. Bruce Berndt, University of Illinois at Urbana-Champaign
Abstract:
Pages 335 and 336 contain a total of four claims, two of which are incorrect. Both the correct and the incorrect "identities" have generated considerable research, in particular, with efforts made to find correct versions of the false formulas. At least three of the claims are related to classical unsolved problems in analytic number theory, the circle problem, the divisor problem, and the generalized divisor problem. In efforts to prove, extend, and correct Ramanujan's claims, we have proved several new theorems. The speaker's research has been conducted with Atul Dixit, Sun Kim, Arindam Roy, and Alexandru Zaharescu.

Room Reservation Information

Room Number:MB106
Date:09 / 09 / 2014
Time:11:15am - 12:05pm