UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF $q$-MULTIPLE ZETA VALUES

We exhibit the double $q$-shuffle structure for the $q$MZVs introduced by Ohno et al. [‘Cyclic $q$-MZSV sum’, J. Number Theory132 (2012), 144–155].

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Veröffentlicht in:Bulletin of the Australian Mathematical Society Jg. 91; H. 3; S. 368 - 388
Hauptverfasser: CASTILLO-MEDINA, JAIME, EBRAHIMI-FARD, KURUSCH, MANCHON, DOMINIQUE
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cambridge, UK Cambridge University Press 01.06.2015
John Loxton University of Western Sydney|Australia
Schlagworte:
Mathematics
Number Theory
q-analogue
primary 11M32
multiple zeta values
secondary 11G55
shuffle relation
33D70
basic hypergeometric functions
double shuffle
ISSN:0004-9727, 1755-1633
Online-Zugang:Volltext
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Abstract We exhibit the double $q$-shuffle structure for the $q$MZVs introduced by Ohno et al. [‘Cyclic $q$-MZSV sum’, J. Number Theory132 (2012), 144–155].
AbstractList We exhibit the double $q$-shuffle structure for the $q$MZVs introduced by Ohno et al. [‘Cyclic $q$-MZSV sum’, J. Number Theory132 (2012), 144–155].
We exhibit the double q-shuffle structure for the qMZVs recently introduced by Y. Ohno, J. Okuda and W. Zudilin.
Author CASTILLO-MEDINA, JAIME
EBRAHIMI-FARD, KURUSCH
MANCHON, DOMINIQUE
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  organization: Universidad de València, Facultat de Ciències Matemàtiques, C/-Doctor Moliner, 50, 46100 Burjassot-Valencia, Spain email jaicasme@alumni.uv.es
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  surname: EBRAHIMI-FARD
  fullname: EBRAHIMI-FARD, KURUSCH
  email: kurusch@icmat.es
  organization: Instituto de Ciencias Matemáticas, C/-Nicolás Cabrera, no. 13–15, 28049 Madrid, Spain email kurusch@icmat.es, kurusch.ebrahimi-fard@uha.fr
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  surname: MANCHON
  fullname: MANCHON, DOMINIQUE
  email: manchon@math.univ-bpclermont.fr
  organization: Université Blaise Pascal, CNRS–UMR 6620, 63177 Aubière, France email manchon@math.univ-bpclermont.fr
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Double shuffle structure of $q$MZVs
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Keywords q-analogue
primary 11M32
multiple zeta values
secondary 11G55
shuffle relation
33D70
basic hypergeometric functions
double shuffle
Language English
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Snippet We exhibit the double $q$-shuffle structure for the $q$MZVs introduced by Ohno et al. [‘Cyclic $q$-MZSV sum’, J. Number Theory132 (2012), 144–155].
We exhibit the double q-shuffle structure for the qMZVs recently introduced by Y. Ohno, J. Okuda and W. Zudilin.
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StartPage 368
SubjectTerms Mathematics
Number Theory
Title UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF $q$-MULTIPLE ZETA VALUES
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https://hal.science/hal-03044549
Volume 91
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