Arithmetic progressions in binary quadratic forms and norm forms

  title={Arithmetic progressions in binary quadratic forms and norm forms},
  author={Christian Elsholtz and Christopher Frei},
  journal={Bulletin of the London Mathematical Society},
  • C. Elsholtz, C. Frei
  • Published 26 October 2018
  • Mathematics
  • Bulletin of the London Mathematical Society
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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