Constructing $x^2$ for primes $p=a{x}^2+b{y}^2$

Zhi-Hong Sun

Let $a$ and $b$ be positive integers and let $p$ be an odd prime such that $p=a{x}^2+b{y}^2$ for some integers $x$ and $y$. Let $\lambda (a,b;n)$ be given by $q\prod_{k=1}^\infty (1-q^{ak})^3…