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A proof of the
refined class number formula of Gross
Minoru Hirose |
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Vol. 5 (2023), No. 1, 73–123
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Abstract |
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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 construct an enhanced version of Stickelberger elements, thereby proving Gross’s conjecture and its enhanced version. |
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Keywords
L-function, Stickelberger element, class number formula,
Gross' conjecture
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Mathematical Subject Classification
Primary: 11R42
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Milestones
Received: 22 January 2022
Revised: 26 August 2022
Accepted: 11 September 2022
Published: 20 April 2023
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Authors |
| Minoru Hirose | |
| Institute for Advanced
Research Nagoya University Nagoya Japan |
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| © 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
