# Arithmetic progressions in binary quadratic forms and norm forms

@article{Elsholtz2019ArithmeticPI, title={Arithmetic progressions in binary quadratic forms and norm forms}, author={Christian Elsholtz and Christopher Frei}, journal={Bulletin of the London Mathematical Society}, year={2019} }

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.

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