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

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

2004-03-20

arxiv.org/abs/math/0403331v1

J. Nonlinear Math. Phys., volume 10, no. 3 (2003) 318-339

Mathematics

Combinatorics

Archive version is already official. Published by JNMP at http://www.sm.luth.se/math/JNMP/

Scientific paper

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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