Counting factorisations of monomials over rings of integers modulo N

被引：0
|
作者：
Hickman, Jonathan [1 ]
Wright, James [2 ,3 ]
机构：
[1] Univ St Andrews, Math Inst, St Andrews KY16 9SS, Fife, Scotland
[2] Univ Edinburgh, Maxwell Inst Math Sci, JCMB, Kings Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland
[3] Univ Edinburgh, Sch Math, JCMB, Kings Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland
来源：
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2019年 / 31卷 / 01期
基金：
美国国家科学基金会;
关键词：
SUMS; SPERBER; DENEF;
D O I：
10.5802/jtnb.1079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 Z/p(alpha)Z. The proof relies on an induction-on-scale procedure which is used to estimate the number of solutions to a certain system of polynomial congruences. The method also applies to more general systems of polynomial congruences that satisfy a non-degeneracy hypothesis.
引用
收藏
页码：255 / 282
页数：28
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