Gauss' lemma over function fields
type: Item
instance of: scholarly article
title: Gauss' lemma over function fields
zbMATH Open document ID: 1445.11134
author: Yoshinori Hamahata
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 2018-04-24T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.facm/1485486027
review text: The author begins by proving Gauss's Lemma for irreducible elements of function fields in one variable over finite fields. Then he uses the Carlitz exponential function for giving a beautiful proof of the reciprocity law analogous to the proof by Eisenstein via the sine function.
reviewed by: Franz Lemmermeyer
Mathematics Subject Classification ID: 11R58
Mathematics Subject Classification ID: 11A15
Mathematics Subject Classification ID: 11G09
zbMATH DE Number: 6864155
zbMATH Keywords: power residues
zbMATH Keywords: reciprocity law
zbMATH Keywords: function fields
MaRDI profile type: Publication
OpenAlex ID: W2581760294
Wikidata QID: Q124792133
cites work: Q4647881
cites work: The Arithmetic of Polynomials in a Galois Field
cites work: On a theorem of higher reciprocity
cites work: On polynomial reciprocity law.
cites work: An elementary proof of the law of quadratic reciprocity over function fields
cites work: On quadratic reciprocity over function fields
cites work: Q2776773
cites work: Q3158374
DOI: 10.7169/FACM/1606
description: scientific article; zbMATH DE number 6864155