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关于阶乘模p的序列ⅱ(英文)

, PP. 33-36

Keywords: 阶乘,指数和,序列

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Abstract:

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)).

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