Representation of prime powers in arithmetical progressions by binary quadratic forms.
type: Item
instance of: scholarly article
title: Representation of prime powers in arithmetical progressions by binary quadratic forms.
zbMATH Open document ID: 1048.11030
author: Franz Halter-Koch
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2004-03-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/231215
review text: Very fine details are given for \textit{A. Meyer's} theorem that each genus of binary quadratic (primitive) forms represents infinitely many primes in any arithmetic progression [Über einen Satz von Dirichlet, J. Reine Angew. Math. 103, 98--117 (1888; JFM 20.0192.02)]. Of course, \(p^m\) may be so represented even if \(p\) is not. The author carefully details the result with a review of establishing densities and conditions on \(m\).
Mathematics Subject Classification ID: 11E25
Mathematics Subject Classification ID: 11R37
Mathematics Subject Classification ID: 11E16
zbMATH DE Number: 2058860
zbMATH Keywords: arithmetic progressions
zbMATH Keywords: genus theory
zbMATH Keywords: quadratic forms
reviewed by: Harvey Cohn
MaRDI profile type: Publication
OpenAlex ID: W2326540008
cites work: Q1252893
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cites work: Representation of primes in arithmetic progression by binary quadratic forms
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DOI: 10.5802/JTNB.393
description: scientific article; zbMATH DE number 2058860