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Mean Values of the Hardy Sum |
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| Authors: | WANG Xiao-ying YUE Xia-xia |
| Institution: | School of Mathematics, Northwest University, Xi'an 710127, China |
| Abstract: | Let p ≥ 5 be a prime.For any integer h,the Hardy sum is defined by H(h,p) =p-1Σj=1(-1)j+1+hj/p],which is related to the classical Dedekind sum.The mean values of the Hardy sum in short intervals are studied by using the mean value theorems of Dirichlet L-functions. |
| Keywords: | Dedekind sum Hardy sum mean value Dirichlet L-function |
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