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

Simple item page
dc.creatorGurevich, Shamgar
dc.creatorHadani, Ronny
dc.creatorHowe, Roger
dc.date2008-08-18
dc.date2008-12-28
dc.date.accessioned2026-07-07T12:22:09Z
dc.date.available2026-07-07T12:22:09Z
dc.descriptionWe 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.
dc.descriptionThis 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
dc.identifierhttps://arxiv.org/abs/0808.2447
dc.identifierhttp://arxiv.org/abs/0808.2447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213554
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.titleQuadratic reciprocity and the sign of the Gauss sum via the finite Weil representation
dc.typetext

Files

Collections

arXiv