Concave and convex compositions

George E. Andrews

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


In a previous work, concave compositions were defined with the restriction that there be essentially the same number of parts on each side of the minimal part. In this work, we drop that restriction, and, in addition, we consider convex compositions as well. We shall link the related generating functions to combinations of classical, false, or mock theta functions and other Appell-Lerch sums.

Original languageEnglish (US)
Pages (from-to)67-82
Number of pages16
JournalRamanujan Journal
Issue number1-2
StatePublished - Jun 2013

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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