arXiv:math/0410266 Abstract

arXiv:math/0410266 [math.NT]Abstract References Reviews Resources

Binary quadratic forms that represent almost the same primes

Published 2004-10-11, updated 2012-04-25Version 4

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.

Comments: 31 pages, 16 tables (table entry fixed)

Categories: math.NT

Subjects: 11E12, 11E16, 11R11

Keywords: positive definite binary quadratic forms, primes outside, finite set, complete outside, odd primes

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