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Three simple reduction formulas for the denumerant functions

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Publication:6631628
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DOI10.1007/S11139-024-00955-XMaRDI QIDQ6631628

Guoce Xin, Feihu Liu, Chen Zhang

Publication date: 1 November 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)




zbMATH Keywords

denumerantrestricted partition functionBernoulli-Barnes polynomial


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)


Cites Work

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  • Factoring in embedding dimension three numerical semigroups
  • On the restricted partition function
  • Relations for Bernoulli-Barnes numbers and Barnes zeta functions
  • De resolutione aequationum per series infinitas.
  • On the number of Solutions of a Diophantine equation of Frobenius
  • Partitions with parts in a finite set
  • Interpolated Denumerants and Lambert Series
  • The polynomial part of a restricted partition function related to the Frobenius problem







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