ON ℓ-ADIC GALOIS POLYLOGARITHMS AND TRIPLE ℓTH POWER RESIDUE SYMBOLS

DOI10.2206/kyushujm.75.95zbMath1487.14071arXiv1909.06705OpenAlexW2972423405MaRDI QIDQ5164189

Densuke Shiraishi

Publication date: 10 November 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.06705

zbMATH Keywords

polylogarithmfundamental grouptriple power residue symbol

Mathematics Subject Classification ID

Galois theory (11R32) Coverings of curves, fundamental group (14H30) Polylogarithms and relations with (K)-theory (11G55)

Related Items

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting)

Cites Work

• Knots and primes. An introduction to arithmetic topology. Based on the Japanese original (Springer, 2009)
• Arithmetic topology in Ihara theory. II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols
• On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field
• On Rédei's dihedral extension and triple reciprocity law
• Tensor and homotopy criteria for functional equations of ℓ-adic and classical iterated integrals
• On l-Adic Iterated Integrals, II Functional Equations and l-Adic Polylogarithms
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