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q-Analogs of classical 6-periodicity: from Euler to Chebyshev

2004/03/20 by Boris A Kupershmidt
Mathematics · #math.CO

paper · pdf

published as J. Nonlinear Math. Phys., volume 10, no. 3 (2003) 318-339 · Archive version is already official. Published by JNMP at http://www.sm.luth.se/math/JNMP/

arxiv created 2004/03/20 · arxiv updated 2009/12/01

Abstract

The sequence of period 6 starting with 1, 1, 0, -1, -1, 0 appears in many different disguises in mathematics. Various q-versions of this sequence are found, and their relations with Euler's pentagonal numbers theorem and Chebyshev polynomials are discussed.

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