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.