作者：Jonathan Hickman , James Wright 来源：[J].Journal de théorie des nombres de Bordeaux, 2019, Vol.31 (1), pp.255-282CEDRAM 摘要：A sharp bound is obtained for the number of ways to express the monomial $X^n$ as a product of linear factors over $\mathbb{Z}/p^{\alpha }\mathbb{Z}$. The proof relies on an induction-on-scale procedure which is used to estimate the number of solutions to a certain system of poly...