Shtukas and Jacobi sums
type: Item
instance of: scholarly article
title: Shtukas and Jacobi sums
zbMATH Open document ID: 0770.11032
DOI: 10.1007/BF01231298
author: Dinesh S. Thakur
published in: Inventiones Mathematicae
publication date: 1993-06-17T00:00:00Z
full work available at URL: https://eudml.org/doc/144088
review text: The analogues of Jacobi sums, in the context of function fields, introduced by the author are related to the shtukas introduced by Drinfeld. This is applied to obtain some results on the prime factorization of analogues of Gauss sums and to prove an analogue of the Gross-Koblitz formula for general function fields, generalizing the earlier results of the author. For this purpose, a new analogue of gamma function is introduced and interpolated.
Mathematics Subject Classification ID: 11G09
Mathematics Subject Classification ID: 11T24
Mathematics Subject Classification ID: 11R58
zbMATH DE Number: 203554
zbMATH Keywords: Drinfeld module
zbMATH Keywords: analogues of Jacobi sums
zbMATH Keywords: function fields
zbMATH Keywords: shtukas
zbMATH Keywords: analogues of Gauss sums
zbMATH Keywords: Gross-Koblitz formula
zbMATH Keywords: analogue of gamma function
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 203554