A partition identity and the universal mock theta function g_2
Speaker: Professor Jeremy Lovejoy (Paris 7)
Time: 4.00PM
Date: Monday February 17th 2014
Location: UCD School of Mathematical Sciences Seminar Room, Ag. 1.01
Abstract:
In the first part of the talk I'll present some background on partition identities. The most famous of these is the first Rogers-Ramanujan identity, which states that the number of partitions of n into parts differing by at least 2 is equal to the number of partitions of n into parts congruent to 1 or 4 modulo 5. Then I'll discuss a newly discovered partition identity, its proof using q-difference equations, and its relation to a so-called "universal" mock theta function. This is based on joint work with Kathrin Bringmann and Karl Mahlburg.
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