Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On a Generalization of the Pentagonal Number Theorem

  • Leung, Ho-Hon (Department of Mathematical Sciences, United Arab Emirates University)
  • Received : 2018.04.03
  • Accepted : 2018.08.27
  • Published : 2018.12.23
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Abstract

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

Keywords

Acknowledgement

Supported by : UAEU

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