Shuffle product of desingularized multiple zeta functions at integer points

Komiyama, Nao; Shinohara, Takeshi

doi:https://doi.org/10.1016/j.jalgebra.2025.07.012

Shuffle product of desingularized multiple zeta functions at integer points

Komiyama, Nao; Shinohara, Takeshi

Journal of Algebra, 2025, 684, 394-440

アクセス数:29件（2026-02-16 23:05 集計）

固定URL: https://hdl.handle.net/11094/102777

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タイトル	Shuffle product of desingularized multiple zeta functions at integer points
著者	著者名 Komiyama, Nao
著者	著者名 Shinohara, Takeshi
キーワード等	Desingularization
	Multiple polylogarithms
	Multiple zeta function
	Renormalization
内容	Komiyama N., Shinohara T.. Shuffle product of desingularized multiple zeta functions at integer points. Journal of Algebra 684, 394 (2025); https://doi.org/10.1016/j.jalgebra.2025.07.012.
抄録	In this paper, we investigate the “shuffle-type” formula for special values of desingularized multiple zeta functions at integer points. It is proved by giving an iterated integral/differential expression for the desingularized multiple zeta functions at integer points.
出版者	Elsevier Inc.
収録物名	Journal of Algebra
巻(号)	684
ページ	394-440
刊行年月	2025-12-15
言語	英語
ハンドルURL	https://hdl.handle.net/11094/102777
PISSN	00218693
eISSN	1090266X
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.1016/j.jalgebra.2025.07.012
アクセス権	open access
権利情報	This article is licensed under a Creative Commons Attribution 4.0 International License.
権利情報	© 2025 The Authors
出版タイプ	Version of Record
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Journal of Algebra. 2025, 684, p. 394-440
DC.title	Shuffle product of desingularized multiple zeta functions at integer points
DC.creator	Komiyama, Nao
DC.creator	Shinohara, Takeshi
DC.publisher	Elsevier Inc.
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-12-15
DC.identifier	https://doi.org/10.1016/j.jalgebra.2025.07.012
DC.subject	Desingularization
	Multiple polylogarithms
	Multiple zeta function
	Renormalization
DC.description	Komiyama N., Shinohara T.. Shuffle product of desingularized multiple zeta functions at integer points. Journal of Algebra 684, 394 (2025); https://doi.org/10.1016/j.jalgebra.2025.07.012.
DCTERMS.abstract	In this paper, we investigate the “shuffle-type” formula for special values of desingularized multiple zeta functions at integer points. It is proved by giving an iterated integral/differential expression for the desingularized multiple zeta functions at integer points.
DC.rights	This article is licensed under a Creative Commons Attribution 4.0 International License.
DC.rights	© 2025 The Authors
DC.format	102777
citation_title	Shuffle product of desingularized multiple zeta functions at integer points
citation_author	Komiyama, Nao
citation_author	Shinohara, Takeshi
citation_publisher	Elsevier Inc.
citation_language	英語
citation_date	2025-12-15
citation_journal_title	Journal of Algebra
citation_volume	684
citation_firstpage	394
citation_lastpage	440
citation_doi	https://doi.org/10.1016/j.jalgebra.2025.07.012
citation_public_url	https://hdl.handle.net/11094/102777

Shuffle product of desingularized multiple zeta functions at integer points

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