Touchard-Riordan formulas, T-fractions, and Jacobi's triple product identity

We give a combinatorial proof of a Touchard-Riordan-like formula discovered by the first author. As a consequence we find a connection between his formula and Jacobi's triple product identity. We then give a combinatorial analog of Jacobi's triple product identity by showing that a finite...

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Bibliographic Details
Main Authors: Matthieu Josuat-Vergès, Jang-Soo Kim
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2011-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2934/pdf