Ring structure and the Fourier transform
type: Item
instance of: scholarly article
title: Ring structure and the Fourier transform
zbMATH Open document ID: 0567.12013
DOI: 10.1007/BF03025807
published in: The Mathematical Intelligencer
publication date: 1985-01-01T00:00:00Z
review text: The authors give an interesting reworking of Schur's determination of the value of the Gaussian sum \(G=\sum_{a mod p}\exp (2\pi i a^ 2/p)\). Schur's proof comes from the observation that G is the trace of the finite Fourier transform on p points and is a beautiful example of the power of elementary linear algebra.
Mathematics Subject Classification ID: 11T22
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 3904710
zbMATH Keywords: Gaussian sum
zbMATH Keywords: finite Fourier transform
author: Louis Auslander
author: R. Tolimieri
reviewed by: John H. Loxton
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3904710