PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Towards generalizing the Rogers-Ramanujan-Gordon identities
Seminar:Algebra and Number Theory Seminar
Speaker:Kagan Kursungoz, Penn State University
Abstract:
The first Rogers-Ramanujan Identity states that the partitions of a non-negative integer into parts that are pairwise at least two apart are equinumerous with the partitions of the same integer into parts that are one or four modulo five. Later, Gordon considered partitions into parts that are pairwise at least three apart, but he added the extra condition that multiples of three are at least six apart. Alder proved that partitions into parts that are at least d > 2 apart (no additional conditions are imposed) cannot be equinumerous with partitions into parts that belong to a certain subset of natural numbers. Although no partition identity has been given however intricate, we will give a systematic way to construct generating functions for the above mentioned partitions. As time permits, we will discuss the connections to the theory of basic hypergeometric series.

Room Reservation Information

Room Number:MB106
Date:02 / 10 / 2011
Time:11:15am - 12:05pm