English

A proof of the refined class number formula of Gross

Number Theory 2023-04-26 v1

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.

Keywords

Cite

@article{arxiv.1608.04718,
  title  = {A proof of the refined class number formula of Gross},
  author = {Minoru Hirose},
  journal= {arXiv preprint arXiv:1608.04718},
  year   = {2023}
}

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38 pages