Arithmetic progressions in binary quadratic forms and norm forms
arXiv:1810.11251 · doi: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.
7 pages; minor revision; to appear in BLMS