论文标题

每个$ p $具有root mod $ p $的多项式具有真实的根

A polynomial with a root mod $p$ for every $p$ has a real root

论文作者

Angelo, Rodrigo, Xu, Max Wenqiang

论文摘要

我们证明,如果多项式为每个大型$ P $都有一个root mod $ p $,那么它具有真正的根。作为一个应用程序,我们表明这些素数不能被有限的许多积极的确定二进制二进制形式所覆盖。

We prove that if a polynomial has a root mod $p$ for every large prime $p$, then it has a real root. As an application, we show that the primes can't be covered by finitely many positive definite binary quadratic forms.

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