Positive Integers Represented by Regular Primitive Positive-Definite Integral Ternary Quadratic Forms

Abstract

In 1997 Jagy, Kaplansky and Schiemann determined that there are at most 913 (classes of) primitive, positive-definite, integral ternary quadratic forms $a{x}^2+b{y}^2+c{z}^2+dyz+ezx+fxy$ which are regular. In this paper the positive integers represented by these 913 ternary forms are given.