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arXiv 2004-03-20 0 views

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

Kupershmidt, Boris A

Original · EN

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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