On a Generalization of the Pentagonal Number Theorem

We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain innite series, recurrence relations and convolution sums for certain restricted partitions and divisor sums. We also derive new identities for Bell polynomials. KCI Citatio...

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Bibliographic Details
Published inKyungpook mathematical journal pp. 599 - 613
Main Author Ho-Hon Leung
Format Journal Article
LanguageEnglish
Published 경북대학교 자연과학대학 수학과 01.12.2018
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Summary:We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain innite series, recurrence relations and convolution sums for certain restricted partitions and divisor sums. We also derive new identities for Bell polynomials. KCI Citation Count: 0
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2018.58.4.599