Universität zu Köln

Brindle, Benjamin (2022). Proving dualities for qMZVs with connected sums. Proc. Jpn. Acad. Ser. A-Math. Sci., 98 (5). S. 29 - 34. TOKYO: JAPAN ACAD. ISSN 0386-2194

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Abstract

This paper gives an application of so-called connected sums, introduced recently by Seki and Yamamoto [SY]. Special about our approach is that it proves a duality for the Schlesinger-Zudilin and the Bradley-Zhao model of qMZVs simultaneously. The latter implies the duality for MZVs and the former can be used to prove the shuffle product formula for MZVs. Furthermore, the q-Ohno relation, a generalization of Bradley-Zhao duality, is also obtained.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Brindle, Benjamin UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-658062
DOI:	10.3792/pjaa.98.006
Journal or Publication Title:	Proc. Jpn. Acad. Ser. A-Math. Sci.
Volume:	98
Number:	5
Page Range:	S. 29 - 34
Date:	2022
Publisher:	JAPAN ACAD
Place of Publication:	TOKYO
ISSN:	0386-2194
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ZETA; VALUES Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/65806