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关于单素数幂的大筛法公式

FORMULA OF THE LARGE SIEVE WITH SINGLE PRIME POWER
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摘要 D.Wolke在[1]中证明了下面的定理: In paper [I] D. Wolke proved the following theorem: For ε>0, δ>0 and N<Q (logQ)δ We have inequalitywhereau is any complex number, C is the positive constant depending on ε and δ. P is a prime.This paper extends the above therem, we have proved the following theorem.Theorem. For ε>0, δ>0 and N≥Q(logQ)δ then we have inequalityThe meaning of the Symbol is the same as stated above. Where m is a positive integer.When m=1 D. Wolke's theorem is obtainedWhen m≥2, The result is much better than the result by applying directly Bombieri theorem.
作者 张德贤
出处 《山东海洋学院学报》 1984年第2期91-98,共8页
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