The fifth and seventh order mock theta functions

Research output: Contribution to journalArticle

97 Scopus citations

Abstract

The theory of Bailey chains is extended to yield identities for Hecke type modular forms and related generalizations. The extended results allow us to produce Hecke type series for the fifth and seventh order mock theta functions. New results on the generating function for sums of three squares also follow, and a new proof that every integer is the sum of three triangular numbers is given.

Original languageEnglish (US)
Pages (from-to)113-134
Number of pages22
JournalTransactions of the American Mathematical Society
Volume293
Issue number1
DOIs
StatePublished - Jan 1 1986

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'The fifth and seventh order mock theta functions'. Together they form a unique fingerprint.

  • Cite this