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