论文标题
部分可观测时空混沌系统的无模型预测
On the largest prime factor of quartic polynomial values: the cyclic and dihedral cases
论文作者
论文摘要
令$ p（x）\ in \ mathbb {z} [x] $是不可约，一元，四分之一的多项式，带有循环或二脑galois组。我们证明存在一个常数$ C_P> 0 $，因此对于正整数的$ n $，$ p（n）$具有主要因素$ \ ge n^{1+c_p} $。
Let $P(X)\in\mathbb{Z}[X]$ be an irreducible, monic, quartic polynomial with cyclic or dihedral Galois group. We prove that there exists a constant $c_P>0$ such that for a positive proportion of integers $n$, $P(n)$ has a prime factor $\ge n^{1+c_P}$.
