南京师大学报（自然科学版）2008，Vol.31Issue(4)：33-36,4.
关于阶乘模p的序列Ⅱ
Congruences With Factorials Modulo p Ⅱ
摘要
Abstract
Let p be an odd prime and k be an integer with 1≤k≤p(1-1/log log p). Let lk(p) be the smallest integer l≥1 such that for every integer λ the congruence (n1!)k+…+(nl!)k≡λ(mod p) has a solution in positive integers n1,…,nl. It is proved that lk(p)=O((log p)3log log p·k(1+1/log log p)).关键词
阶乘/指数和/序列Key words
factorials,exponential sums,congruences分类
数理科学引用本文复制引用
戴丽霞..关于阶乘模p的序列Ⅱ[J].南京师大学报（自然科学版）,2008,31(4):33-36,4.基金项目
Supported by the National Natural Science Foundation of China(10801075), Natural Science Foundation of Jiangsu Higher Education Institutions of China(08KJB11007) and Science Foundation of Nanjing Normal University(2006101XGQ0128). （10801075）
