The fifth and seventh order mock theta functions

George E. Andrews

Research output: Contribution to journalArticlepeer-review

132 Scopus citations


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
Issue number1
StatePublished - Jan 1986

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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