Rubin-Stark units and the class number

DOI10.1007/s40993-023-00501-6OpenAlexW4391024859MaRDI QIDQ6148980

Youness Mazigh, Saad El Boukhari

Publication date: 8 February 2024

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40993-023-00501-6

zbMATH Keywords

class numberArtin \(L\)-functionsStark unitsgeneralized index of modules

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Cites Work

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• Index formulae for stark units and their solutions
• Index-modules and applications
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• On the ideal class groups of real abelian number fields
• On the Stickelberger ideal and the circular units of an abelian field
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Iwasawa theory of Rubin-Stark units and class groups
• Stark units and the main conjectures for totally real fields