Gelfand-Graev representation and Barnes identities. The case of \(\mathrm{GL}_2\) over a finite field
type: Item
instance of: scholarly article
title: Gelfand-Graev representation and Barnes identities. The case of \(\mathrm{GL}_2\) over a finite field
zbMATH Open document ID: 0613.12015
published in: L'Enseignement Mathématique. 2e Série
publication date: 1986-01-01T00:00:00Z
review text: This article explains in greater detail how the Barnes identities for Gaussian sums over the finite field \(\mathbb F\) were obtained in earlier papers of the author [Sémin. Delange-Pisot-Poitou, 19e Année 1977/78, Théor. des Nombres, Fasc. 1, Exp. No. 22 (1978; Zbl 0464.12010); C. R. Acad. Sci., Paris, Sér. A 286, 297--300 (1978; Zbl 0373.12009)] by studying the Gelfand-Graev representation of \(\mathrm{GL}(2, \mathbb F)\).
reviewed by: Harald Niederreiter
Mathematics Subject Classification ID: 11T23
Mathematics Subject Classification ID: 11L40
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 3991633
zbMATH Keywords: Barnes identities
zbMATH Keywords: Gaussian sums
zbMATH Keywords: finite field
zbMATH Keywords: Gelfand-Graev representation
zbMATH Keywords: GL(2, F)
author: Anna P. Helversen-Pasotto
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3991633