Jang Soo Kim (김장수), Combinatorics of continued fractions and its application to Jacobi’s triple product identity

Combinatorics of continued fractions and its application to Jacobi’s triple product identity
Jang Soo Kim
KIAS
2013/09/25 Wed 4PM-5PM
ROOM 1409
In this talk we will see a combinatorial way to expand certain continued fractions using lattice paths called Motzkin paths. This method allows us to prove a formula for q-secant numbers. I will explain that this approach can be used to find a finite version of Jacobi’s triple product identity. This talk is based on my paper with Matthieu Josuat-Vergès: “Touchard-Riordan formulas, T-fractions, and Jacobi’s triple product identity”, The Ramanujan Journal, Volume 30, Issue 3, pp 341-378.

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