J. Korean Math. Soc. 2007; 44(6): 1243-1254
Printed November 1, 2007
Copyright © The Korean Mathematical Society.
Huaning Liu
Northwest University
In this paper, we study the mean values of the homogeneous Dedekind sums and Cochrane sums in short intervals $\left[1, \frac{p}{3}\right]$ and $\left[1, \frac{p}{4}\right]$, and give some asymptotic formulae by using the mean values of the Dirichlet $L$-functions.
Keywords: Dedekind sums, Cochrane sums, homogeneous, mean values
MSC numbers: 11F20
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