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

Boris A Kupershmidt
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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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Boris A Kupershmidt. 2004-03-20. q-Analogs of classical 6-periodicity: from Euler to Chebyshev. https://arxiv.org/abs/math/0403331

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