Representation of prime powers in arithmetical progressions by binary quadratic forms. (Q1424576)
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scientific article; zbMATH DE number 2058860
| Language | Label | Description | Also known as |
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| English | Representation of prime powers in arithmetical progressions by binary quadratic forms. |
scientific article; zbMATH DE number 2058860 |
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Representation of prime powers in arithmetical progressions by binary quadratic forms. (English)
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16 March 2004
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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 \(m\).
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arithmetic progressions
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genus theory
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quadratic forms
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