J4 ›› 2011, Vol. 46 ›› Issue (12): 76-82.

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Mean value of D.H.Lehmer problem in short interval

GUO Xiao-yan   

  1. Department of Mathematics, Northwest University, Xi’an 710127, Shaanxi, China
  • Received:2010-09-14 Online:2011-12-20 Published:2011-12-24

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Abstract:

The mean value of D.H.Lehmer problem in short interval is investigated. Some asymptotic formula is obtained by using the Fourier expansion for character sums and the estimates for exponential sums.

Key words: D.H.Lehmer problem; character sum; exponential sum

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