Truncated theta series and a problem of Guo and Zeng

George E. Andrews, Mircea Merca

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


We provide partition-theoretic interpretation of two truncated identities of Gauss solving a problem by Guo and Zeng. We also reveal that these results, together with our previous truncation of Euler's pentagonal number theorem, are essentially corollaries of the Rogers–Fine identity. Finally we examine further positivity questions related to the partition function.

Original languageEnglish (US)
Pages (from-to)610-619
Number of pages10
JournalJournal of Combinatorial Theory. Series A
StatePublished - Feb 2018

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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