Quadratic reciprocity and the sign of the Gauss sum via the finite Weil representation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give new proofs of two basic results in number theory: The law of quadratic reciprocity and the sign of the Gauss sum. We show that these results are encoded in the relation between the discrete Fourier transform and the action of the Weyl element in the Weil representation modulo p,q and pq.
This paper was submited for publication February 1, 2008. Key words: Quadratic reciprocity, Sign of Gauss sum, Discrete Fourier transform, Finite Weil representations, Character of the Weil representation

Keywords

Representation Theory, Number Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/213554

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.2447
 http://arxiv.org/abs/0808.2447

Collections

arXiv