论文标题

$ p+m^2+n^2 = n $的解决方案的等式分布

Equidistribution for Solutions of $p+m^2+n^2=N$, and for Châtelet Surfaces

论文作者

Heath-Brown, D. R.

论文摘要

我们提出了一种处理问题的通用方法,该方法要求将解决方案等分到涉及$ m^2+n^2 $的方程式,并通过考虑$ p+m^2+n^2 = n $来说明它。

We present a general method for handling problems that ask for the equidistribution of solutions to equations involving $m^2+n^2$, and illustrate it by considering $p+m^2+n^2=N$.

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