In this paper, we consider the arithmetic mean of weighted differences of Dedekind sums of the form |s(a ,q ) â s(a, q)| with a weight function h, where (a q. , a q. ) ...
ARITHMETIC MEAN OF DIFFERENCES OF DEDEKIND SUMS EMRE ALKAN, MAOSHENG XIONG, AND ALEXANDRU ZAHARESCU Abstract. Recently Girstmair and Schoissengeier studied the asymptotic behavior of the arithmetic mean of Dedekind sums X 1 |S(m, N )|, ϕ(N ) 0≤m