CONGRUENCES RELATED TO THE RAMANUJAN/WATSON MOCK THETA FUNCTIONS Ï‰(q) AND Î½(q)
Speaker: Donny Passary, PSU
Abstract: Recently, Andrews, Dixit, and Yee introduced partition functions associated with the Ramanujan/Watson mock theta functions Ï‰(q) and Î½(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 Ï‰(q) given by Waldherr is presented.
Room Reservation Information
Room Number: 106 McAllister
Time: 11:15am - 12:05pm