A new semi-finite form of the quintuple product identity
Jun-Ming Zhu
TL;DR
This paper introduces a new semi-finite form of the quintuple product identity derived from a well-poised hypergeometric series, expanding the mathematical tools available for q-series and product identities.
Contribution
The paper presents a novel semi-finite form of the quintuple product identity based on a well-poised $_6 heta_5$ series, offering new insights into q-series identities.
Findings
Derived a semi-finite form of the quintuple product identity
Connected the identity to a well-poised $_6 heta_5$ series
Enhanced understanding of q-series and product identities
Abstract
The quintuple product identity are deduced from a new semi-finite form, which are obtained from the very-well-poised series.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Coding theory and cryptography · Advanced Topics in Algebra