Truncated Jacobi triple product series

Chun Wang, Ae Ja Yee

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In their study of truncated theta series, Andrews-Merca and Guo-Zeng made a conjecture on Jacobi's triple product identity, which is settled by Mao and Yee independently. In this paper, we reprove this ex-conjecture by providing an explicit series form with nonnegative coefficients, which is reminiscent of the results of Andrews-Merca and Guo-Zeng. We also provide a companion theorem to this ex-conjecture.

Original languageEnglish (US)
Pages (from-to)382-392
Number of pages11
JournalJournal of Combinatorial Theory. Series A
Volume166
DOIs
StatePublished - Aug 1 2019

Fingerprint

Triple product
Jacobi
Series
Jacobi's Triple Product Identity
Theta Series
Non-negative
Coefficient
Theorem

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "In their study of truncated theta series, Andrews-Merca and Guo-Zeng made a conjecture on Jacobi's triple product identity, which is settled by Mao and Yee independently. In this paper, we reprove this ex-conjecture by providing an explicit series form with nonnegative coefficients, which is reminiscent of the results of Andrews-Merca and Guo-Zeng. We also provide a companion theorem to this ex-conjecture.",
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Truncated Jacobi triple product series. / Wang, Chun; Yee, Ae Ja.

In: Journal of Combinatorial Theory. Series A, Vol. 166, 01.08.2019, p. 382-392.

Research output: Contribution to journalArticle

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