数学季刊 ›› 2017, Vol. 32 ›› Issue (1): 16-33.doi: 10.13371/j.cnki.chin.q.j.m.2017.01.003
摘要: Let p≥5 be a prime. For any integer h, the Hardy sum is defined by H(h,p)=sum((-1)j+1+[(hj)/p])from (p-1) to (j=1) 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.
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