Congruences related to the Ramanujan/Watson mock theta functions ω(q) and ν(q)

George E. Andrews, Donny Passary, James A. Sellers, Ae Ja Yee

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Recently, Andrews, Dixit, and Yee introduced partition functions associated with the Ramanujan/Watson mock theta functions ω(q) and ν(q). In this paper, we study arithmetic properties of the partition functions. Based on one of the results of Andrews, Dixit, and Yee, mod 2 congruences 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.

Original languageEnglish (US)
Pages (from-to)347-357
Number of pages11
JournalRamanujan Journal
Volume43
Issue number2
DOIs
StatePublished - Jun 1 2017

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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