English

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

Combinatorics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0403331,
  title  = {q-Analogs of classical 6-periodicity: from Euler to Chebyshev},
  author = {Boris A Kupershmidt},
  journal= {arXiv preprint arXiv:math/0403331},
  year   = {2007}
}

Comments

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