A proof of the refined class number formula of Gross

DOI10.2140/tunis.2023.5.73arXiv1608.04718OpenAlexW4366975536MaRDI QIDQ6046063

Minoru Hirose

Publication date: 15 May 2023

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

Full work available at URL: https://arxiv.org/abs/1608.04718

zbMATH Keywords

regulatorShintani zeta functionStickelberger elementShintani data

Mathematics Subject Classification ID

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

Cites Work

• Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units
• Integral Eisenstein cocycles on \(\mathrm{GL}_n\). II: Shintani's method.
• Congruences between derivatives of abelian \(L\)-functions at \(s =0\)
• Signed fundamental domains for totally real number fields
• Shintani cocycles on GL _n
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