Pure and Applied Mathematics Quarterly

Volume 19 (2023)

Number 4

Special Issue in honor of Victor Guillemin

Guest Editors: Yael Karshon, Richard Melrose, Gunther Uhlmann, and Alejandro Uribe

Dedekind sums via Atiyah–Bott–Lefschetz

Pages: 1799 – 1802

DOI: https://dx.doi.org/10.4310/PAMQ.2023.v19.n4.a3

Author

Ana Cannas da Silva (Department of Mathematics, ETH Zurich, Switzerland)

Abstract

This paper, written for differential geometers, shows how to deduce the reciprocity laws of Dedekind and Rademacher, as well as $n$-dimensional generalizations of these, from the Atiyah–Bott–Lefschetz formula, by applying this formula to appropriate elliptic complexes on weighted projective spaces.

Keywords

global analysis, elementary number theory

2010 Mathematics Subject Classification

11Axx, 58-xx

The full text of this article is unavailable through your IP address: 172.17.0.1

Received 26 January 2022

Received revised 8 January 2023

Accepted 19 February 2023

Published 20 November 2023