CONGRUENCES RELATED TO THE RAMANUJAN/WATSON MOCK THETA FUNCTIONS ω(q) AND ν(q)

Combinatorics/Partitions Seminar

Meeting Details

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

Speaker: Donny Passary, PSU

Abstract: Recently, Andrews, Dixit, and Yee introduced partition functions associated with the Ramanujan/Watson mock theta functions ω(q) and ν(q). Based on one of their results, mod 2 congruences for these mock theta functions are obtained. In addition, infinite families of mod 4 and mod 8 congruences are presented. Lastly, an elementary proof of the first explicit examples of congruences for ω(q) given by Waldherr is presented.


Room Reservation Information

Room Number: 106 McAllister

Date: 11/10/2015

Time: 11:15am - 12:05pm