On $D$ so that $x^2 - Dy^2 = pm m$

[摘要] We prove that for any integer m (different from 0, +2, -2), there are infinitely many positive integers D for which the form x^2 - Dy^2 primitively represents m, -m, and -1. We do this by constructing an infinite sequence of such D's associated with each m.

[学科分类] 数学（综合）

[关键词] representation