Arithmetic progressions in binary quadratic forms and norm forms

Christian Elsholtz, Christopher Frei

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    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.
    Original languageEnglish
    JournalBulletin of the London Mathematical Society
    Early online date6 May 2019
    DOIs
    Publication statusPublished - 2019

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