A proof of the refined class number formula of Gross

Abstract

In 1988, Gross proposed a conjectural congruence between Stickelberger elements and algebraic regulators, which is often referred to as the refined class number formula. In this paper, we prove this congruence.

arXiv comment38 pages

References in corpus (2)

• Signed fundamental domains for totally real number fields
• Shintani Cocycles on $\GL_{n}$