Abstract
We prove an upper bound for the length of an arithmetic progression represented by an irreducible integral binary quadratic form or a norm form, which depends only on the form and the progression's common difference. For quadratic forms, this improves significantly upon an earlier result of Dey and Thangadurai.
Originalsprache | englisch |
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Seiten (von - bis) | 595-602 |
Fachzeitschrift | The Bulletin of the London Mathematical Society |
Jahrgang | 2019 |
Ausgabenummer | 51(4) |
DOIs | |
Publikationsstatus | Veröffentlicht - 2019 |
Schlagwörter
- arithmetic progressions
- binary quadratic forms
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)