Seminars in September 2013

  • 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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