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On the difference between an integer and its m-th power mod n
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作者 XU ZheFeng 《Science China Mathematics》 SCIE 2013年第8期1597-1606,共10页
For any real constants λ1, λ2 C (0, 1], let n ≥ max{[1/λ1 ], [1/λ2]}, vn ≥ 2 be integers. Suppose integers a C [1, λ1n] and b E [1, λ2n] satisfy the congruence b ≡ am (rood n). The main purpose of this pap... For any real constants λ1, λ2 C (0, 1], let n ≥ max{[1/λ1 ], [1/λ2]}, vn ≥ 2 be integers. Suppose integers a C [1, λ1n] and b E [1, λ2n] satisfy the congruence b ≡ am (rood n). The main purpose of this paper is to study the mean value of (a - b)2k for any fixed positive integer k and obtain some sharp asymptotic formulae. 展开更多
关键词 INTEGER m-th power mod n difference incomplete interval
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