PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Congruences and Identities of Ramanujan Type
Seminar:Combinatorics/Partitions Seminar
Speaker:Silviu Radu, Research Institute for Symbolic Computation (RISC), Austria
Abstract:
In 1919 Ramanujan discovered the following congruences for p(n), the number of partitions of n: p(5n+4)=0 mod 5; p(7n+5)=0 mod 7; p(11n+6)=0 mod 11. Since Ramanujan many other similar congruences have been discovered. Not only the partition function enjoys such congruences but also other sequences whose generating functions may be written in terms of simple infinite products. In this talk we give an algorithm to prove such congruences in general. We will also give an algorithm that produces certain identities similar to "Ramanujan's most beautiful identity" provided that certain assumptions are satisfied.

Room Reservation Information

Room Number:MB106
Date:09 / 20 / 2011
Time:11:15am - 12:05pm