Partitions with short sequences and mock theta functions

George E. Andrews

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


P. A. MacMahon was the first to examine integer partitions in which consecutive integers were not allowed as parts. Such partitions may be described as having sequences of length 1. Recently it was shown that partitions containing no sequences of consecutive integers of length k are of interest in seemingly unrelated problems concerning threshold growth models. The object now is to develop the subject intrinsically to both provide deeper understanding of the theory and application of partitions and reveal the surprising role of Ramanujan's mock theta functions.

Original languageEnglish (US)
Pages (from-to)4666-4671
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number13
StatePublished - Mar 29 2005

All Science Journal Classification (ASJC) codes

  • General


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