Concave and convex compositions

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18 Scopus citations

Abstract

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
Volume31
Issue number1-2
DOIs
StatePublished - Jun 2013

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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