TY - JOUR
T1 - Arithmetic mean of differences of Dedekind sums
AU - Alkan, Emre
AU - Xiong, Maosheng
AU - Zaharescu, Alexandru
PY - 2007/7
Y1 - 2007/7
N2 - Recently, Girstmair and Schoissengeier studied the asymptotic behavior of the arithmetic mean of Dedekind sums 1 / ℓ (N) ∑ 0 ≤ m < N gcd(m,N)=1 |S(m,N)|, as N → ∞. In this paper we consider the arithmetic mean of weighted differences of Dedekind sums in the form A h(Q)=1 / ∑a/q ∈ ℱ Qh(a/q)× ∑a/q ∈Q h(a/q)
AB - Recently, Girstmair and Schoissengeier studied the asymptotic behavior of the arithmetic mean of Dedekind sums 1 / ℓ (N) ∑ 0 ≤ m < N gcd(m,N)=1 |S(m,N)|, as N → ∞. In this paper we consider the arithmetic mean of weighted differences of Dedekind sums in the form A h(Q)=1 / ∑a/q ∈ ℱ Qh(a/q)× ∑a/q ∈Q h(a/q)
KW - Dedekind sums
KW - Farey fractions
KW - Kloosterman sums
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U2 - 10.1007/s00605-006-0430-8
DO - 10.1007/s00605-006-0430-8
M3 - Article
AN - SCOPUS:34547325906
SN - 0026-9255
VL - 151
SP - 175
EP - 187
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
IS - 3
ER -