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  3. 2.講究録別冊
  4. B87 Mathematical structures of integrable systems, its deepening and expansion
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dc.contributor.authorOHNO, Yasuoen
dc.contributor.alternative大野, 泰生ja
dc.contributor.transcriptionオオノ, ヤスオja-Kana
dc.date.accessioned2021-11-02T00:33:06Z-
dc.date.available2021-11-02T00:33:06Z-
dc.date.issued2021-08-
dc.identifier.urihttp://hdl.handle.net/2433/265826-
dc.descriptionMathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. edited by Takao Suzuki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.en
dc.description.abstractSeveral known families of relations among the multiple zeta values proved by using the generating functions are introduced to focus on the connection between the generating functions of relations among multiple zeta values and the hypergeometric functions. The infinite product expansion of the sine function and the gamma function representation of the Aomoto-Drinfel'd generating function are appeared in two of such results. It is also pointed out that the restricted sum formula due to Eie-Liaw-Ong in 2009 is able to obtain as a simple rewrite of a formula which had been proved by the author in 1999.en
dc.language.isojpn-
dc.publisherResearch Institute for Mathematical Sciences, Kyoto Universityen
dc.publisher.alternative京都大学数理解析研究所ja
dc.rights© 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved.en
dc.subject11M32en
dc.subject33C05en
dc.subject33C20en
dc.subjectmultiple zeta valuesen
dc.subjectmultiple zeta-star valuesen
dc.subjecthypergeometric functionsen
dc.subject.ndc410-
dc.title多重ゼータ値の関係式と母関数 (可積分系数理の深化と展開)ja
dc.title.alternativeRelations among multiple zeta values and related generating functions (Mathematical structures of integrable systems, its deepening and expansion)en
dc.typedepartmental bulletin paper-
dc.type.niitypeDepartmental Bulletin Paper-
dc.identifier.ncidAA12196120-
dc.identifier.jtitle数理解析研究所講究録別冊ja
dc.identifier.volumeB87-
dc.identifier.spage27-
dc.identifier.epage37-
dc.textversionpublisher-
dc.sortkey03-
dc.addressMathematical Institute, Tohoku Universityen
dc.address.alternative東北大学ja
dcterms.accessRightsopen access-
datacite.awardNumber16H06336-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H06336-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H01110-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K03437-
dc.identifier.pissn1881-6193-
dc.identifier.jtitle-alternativeRIMS Kokyuroku Bessatsuen
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.awardTitle多重ゼータの深化と新展開ja
jpcoar.awardTitleモチヴィックガロア群と多重ゼータ値から広がる数学 --整数論からの解放--ja
jpcoar.awardTitleゼータ関数の特殊値と関係式を基軸とする数論の研究ja
出現コレクション:B87 Mathematical structures of integrable systems, its deepening and expansion

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