Arithmetic progressions in binary quadratic forms and norm forms

Christian Elsholtz, Christopher Frei

Type: Article

Publication Date: 2019-05-06

Citations: 1

DOI: https://doi.org/10.1112/blms.12256

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.

Locations

Bulletin of the London Mathematical Society - View - PDF
arXiv (Cornell University) - View - PDF
Research Explorer (The University of Manchester) - View - PDF
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