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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| Vydáno v: | Bulletin of the Australian Mathematical Society Ročník 91; číslo 3; s. 368 - 388 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Cambridge, UK
Cambridge University Press
01.06.2015
John Loxton University of Western Sydney|Australia |
| Témata: | |
| ISSN: | 0004-9727, 1755-1633 |
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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]. |
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| 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 |
| Author_xml | – sequence: 1 givenname: JAIME surname: CASTILLO-MEDINA fullname: CASTILLO-MEDINA, JAIME email: jaicasme@alumni.uv.es organization: Universidad de València, Facultat de Ciències Matemàtiques, C/-Doctor Moliner, 50, 46100 Burjassot-Valencia, Spain email jaicasme@alumni.uv.es – sequence: 2 givenname: KURUSCH 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 – sequence: 3 givenname: DOMINIQUE 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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| Copyright | 2015 Australian Mathematical Publishing Association Inc. Distributed under a Creative Commons Attribution 4.0 International License |
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| DocumentTitleAlternate | J. Castillo-Medina, K. Ebrahimi-Fard and D. Manchon 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 |
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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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