An extension of the Fukaya-Kato method

Fuente: arXiv
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Autor principal: Sharifi, Romyar T.
Formato: Preprint
Publicado: 2022
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author Sharifi, Romyar T.
author_facet Sharifi, Romyar T.
contents In a groundbreaking paper, T. Fukaya and K. Kato proved a slight weakening of a conjecture of the author's relating modular symbols and cup products of cyclotomic units under an assumption that a Kubota-Leopoldt p-adic L-function has no multiple zeros. This article describes a refinement of their method that sheds light on the role of the p-adic L-function.
format Preprint
id arxiv_https___arxiv_org_abs_2208_06777
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle An extension of the Fukaya-Kato method
Sharifi, Romyar T.
Number Theory
11F33, 11F67, 11R23, 11R34
In a groundbreaking paper, T. Fukaya and K. Kato proved a slight weakening of a conjecture of the author's relating modular symbols and cup products of cyclotomic units under an assumption that a Kubota-Leopoldt p-adic L-function has no multiple zeros. This article describes a refinement of their method that sheds light on the role of the p-adic L-function.
title An extension of the Fukaya-Kato method
topic Number Theory
11F33, 11F67, 11R23, 11R34
url https://arxiv.org/abs/2208.06777