[1]戴丽霞.关于阶乘模p的序列Ⅱ(英文)[J].南京师范大学学报(自然科学版),2008,31(04):33-36.
 Dai Lixia.Congruences With Factorials Modulo p Ⅱ[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(04):33-36.
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关于阶乘模p的序列Ⅱ(英文)()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年04期
页码:
33-36
栏目:
数学
出版日期:
2008-12-30

文章信息/Info

Title:
Congruences With Factorials Modulo p Ⅱ
作者:
戴丽霞;
南京师范大学数学与计算机科学学院, 江苏南京210097
Author(s):
Dai Lixia
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
关键词:
阶乘 指数和 序列
Keywords:
factor ia ls exponen tia l sum s cong ruences
分类号:
O156.4
摘要:
研究了模p的序列(n1!)k+…+(nl!)k≡λ(modp),其中p是奇素数,k是正整数且1≤k≤p(1-1/loglogp).lk(p)表示最小的正整数使得对任意的整数λ,上述序列均有正整数解.证明了lk(p)=O((logp)3loglogp.k(1+1/loglogp)).

参考文献/References:

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备注/Memo

备注/Memo:
Foundation item: Supported by the NationalNatu ral Scien ce Foundation ofC h ina( 10801075) , Natu ral Science Foundation of J iangsuH igher Education In stitut ion s of Ch ina( 08K JB11007 ) and Science Foundat ion of Nan jing N orm alUn ivers ity( 2006101XGQ0128 ) .
Corresponding autho r: DaiL ix ia, doctor, lectu rer, m a jored in num ber th eory. E-m ail:lilid ain jnu@ 163. com
更新日期/Last Update: 2013-05-05