Quadratic forms that represent almost the same primes

Voight, John

doi:10.1090/S0025-5718-07-01976-X

Quadratic forms that represent almost the same primes
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by John Voight;

Math. Comp. 76 (2007), 1589-1617

DOI: https://doi.org/10.1090/S0025-5718-07-01976-X

Published electronically: February 19, 2007

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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 their list is complete outside of “trivial” pairs. In this article, we confirm their conjecture, and in fact find all pairs of such forms that represent the same primes outside of a finite set.

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