ON ℓ-ADIC GALOIS POLYLOGARITHMS AND TRIPLE ℓTH POWER RESIDUE SYMBOLS - 九大コレクション

＜紀要論文＞
ON ℓ-ADIC GALOIS POLYLOGARITHMS AND TRIPLE ℓTH POWER RESIDUE SYMBOLS

作成者	作成者名 SHIRAISHI, Densuke シライシ, デンスケ所属機関所属機関名 Department of Mathematics, Graduate School of Science, Osaka University 大阪大学
本文言語	英語
出版者	Faculty of Mathematics, Kyushu University
出版者	九州大学大学院数理学研究院
発行日	2021
収録物名	Kyushu Journal of Mathematics
巻	75
号	1
開始ページ	95
終了ページ	113
出版タイプ	Version of Record
アクセス権	restricted access
関連DOI	以下と同一 https://doi.org/10.2206/kyushujm.75.95
関連URI
関連HDL
概要	The ℓ-adic Galois polylogarithm is an arithmetic function on an absolute Galois group with values in ℓ-adic numbers, which arises from Galois actions on ℓ-adic étale paths on ℙ1\{0, 1, ∞}. In the pres...ent paper, we discuss a relationship between ℓ-adic Galois polylogarithms and triple ℓth power residue symbols in some special cases studied in a work of Hirano and Morishita [J. Number Theory 198 (2019), 211-238]. We show that a functional equation of ℓ-adic Galois polylogarithms by Nakamura and Wojtkowiak [Non-abelian Fundamental Groups and Iwasawa Theory. Cambridge University Press, 2012, pp. 258-310] implies a reciprocity law of triple ℓth power residue symbols.続きを見る