Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 3, August 2003, Pages 318 - 339

q-Analogs of Classical 6-Periodicity: From Euler to Chebyshev

Authors
Boris A. Kupershmidt
Corresponding Author
Boris A. Kupershmidt
Received 19 November 2002, Accepted 3 January 2003, Available Online 1 August 2003.
DOI
10.2991/jnmp.2003.10.3.5How to use a DOI?
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. The motto on Cardinal Newman's tomb ought to be the funeral motto of every Catholic, Ex umbris et imaginibus in veritatem, Out of shadows and appearances into the truth. Ronald Knox, The Pastoral Sermons

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 3
Pages
318 - 339
Publication Date
2003/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.3.5How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Boris A. Kupershmidt
PY  - 2003
DA  - 2003/08/01
TI  - q-Analogs of Classical 6-Periodicity: From Euler to Chebyshev
JO  - Journal of Nonlinear Mathematical Physics
SP  - 318
EP  - 339
VL  - 10
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.3.5
DO  - 10.2991/jnmp.2003.10.3.5
ID  - Kupershmidt2003
ER  -