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A quick proof of reciprocity for Hecke Gauss sums

✍ Scribed by Hatice Boylan; Nils-Peter Skoruppa

Book ID
118250652
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
120 KB
Volume
133
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

On A Generalization of Hecke Ο‘-Functions
On A Generalization of Hecke Ο‘-Functions and the Analytic Proof of Higher Reciprocity Laws
✍ M.C. Berg πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 510 KB

In the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law for the \(m\) th power residue symbol, along the same lines as his proof of relative quadratic reciprocity. We show that a naive approach, based on a suggestive way of generalizing Hecke \(\vartheta\)-functio