On a conjecture for Rubin-Stark elements in a special case

DOI10.3836/TJM/1452806050zbMath1377.11117arXiv1406.4940OpenAlexW2962998557WikidataQ122980319 ScholiaQ122980319MaRDI QIDQ267445

Takamichi Sano

Publication date: 8 April 2016

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

Full work available at URL: https://arxiv.org/abs/1406.4940

zbMATH Keywords

global fieldsspecial values of \(L\)-functionsRubin-Stark conjecture

Mathematics Subject Classification ID

Units and factorization (11R27) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture ⋮ The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields

Cites Work

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• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• Thaine's Method for Circular Units and a Conjecture of Gross
• Mixed multiplicities of multigraded modules

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