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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Published in | Kyungpook mathematical journal pp. 599 - 613 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
경북대학교 자연과학대학 수학과
01.12.2018
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Subjects | |
Online Access | Get full text |
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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 |
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ISSN: | 1225-6951 0454-8124 |
DOI: | 10.5666/KMJ.2018.58.4.599 |