English

Binary quadratic forms that represent almost the same primes

Number Theory 2012-04-27 v4

Abstract

Jagy and Kaplansky exhibited a table of 68 pairs of positive definite binary quadratic forms that represent the same odd primes and conjectured that this list is complete outside of "trivial" pairs. In this article, we find all pairs of such forms that represent the same primes outside of a finite set.

Keywords

Cite

@article{arxiv.math/0410266,
  title  = {Binary quadratic forms that represent almost the same primes},
  author = {John Voight},
  journal= {arXiv preprint arXiv:math/0410266},
  year   = {2012}
}

Comments

31 pages, 16 tables (table entry fixed)