Mock theta functions and weakly holomorphic modular forms modulo 2 and 3

Scott Ahlgren, K. I.M. Byungchan

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that the coefficients of the mock theta functions (Formula Presented) possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly holomorphic modular forms and discuss applications. This extends work of Radu on the behavior of the ordinary partition function.

Original languageEnglish (US)
Pages (from-to)111-129
Number of pages19
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume158
Issue number1
DOIs
StatePublished - Jan 20 2015

ASJC Scopus subject areas

  • Mathematics(all)

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