Concave and convex compositions

George E. Andrews

doi:10.1007/s11139-012-9394-6

Concave and convex compositions

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

28 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 language	English (US)
Pages (from-to)	67-82
Number of pages	16
Journal	Ramanujan Journal
Volume	31
Issue number	1-2
DOIs	https://doi.org/10.1007/s11139-012-9394-6
State	Published - Jun 2013

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-012-9394-6

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title = "Concave and convex compositions",

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.",

author = "Andrews, \{George E.\}",

note = "Funding Information: Partially supported by National Science Foundation Grant DMS-0801184.",

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N2 - 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.

AB - 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.

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UR - https://www.scopus.com/pages/publications/84877005163#tab=citedBy

U2 - 10.1007/s11139-012-9394-6

DO - 10.1007/s11139-012-9394-6

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SP - 67

EP - 82

JO - Ramanujan Journal

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Concave and convex compositions

Abstract

All Science Journal Classification (ASJC) codes

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