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Quadratic Reciprocity and the Sign of the Gauss Sum via the Finite Weil Representation

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Publication:3055732
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DOI10.1093/imrn/rnp242zbMath1231.11093arXiv0808.2447OpenAlexW2074105694MaRDI QIDQ3055732

Ronny Hadani, Shamgar Gurevich, Roger E. Howe

Publication date: 9 November 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2447


zbMATH Keywords

Heisenberg groupGauss sumsquadratic reciprocity lawWeil representation


Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Gauss and Kloosterman sums; generalizations (11L05) Power residues, reciprocity (11A15)


Related Items (3)

A reverse engineering approach to the Weil representation ⋮ Generators and relations for the unitary group of a skew Hermitian form over a local ring ⋮ On the diagonalization of the discrete Fourier transform




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