AbstractLetp⩾3 be a prime number,b⩾2 a primitive root modpandzan integer, 1⩽z⩽p−1. The digit expansion ofz/pwith respect to the basisbhas a period consisting of the firstp−1 digitsc1,…,cp−1. We express the varianceσ2ofc1,…,cp−1in terms of the Dedekind sums(p,b) and investigate the behaviour ofσ2forbfixed andp→∞. The reciprocity law for Dedekind sums is the most important tool in this investigation
AbstractIn this paper we give a simple proof for the reciprocity formula for the generalized Dedekin...
AbstractGeneralized reciprocity formulas and Dedekind-Petersson-Knopp-type formulas are given to gen...
D. H. Lehmer initiated the study of the distribution of totatives, which are numbers coprime with a ...
summary:Let $p$ be an odd prime and $c$ a fixed integer with $(c, p)=1$. For each integer $a$ with $...
AbstractIn this article a simple proof for a reciprocity formula for sums of cotangent functions is ...
AbstractIn this paper, we study on two subjects. We first construct degenerate analogues of Dedekind...
AbstractWe introduce higher-dimensional Dedekind sums with a complex parameter z, generalizing Zagie...
In this paper, we express three different, yet related, character sums in terms of generalized Berno...
AbstractIf h, k ∈ Z, k > 0, the Dedekind sum is given by s(h,k) = ∑μ=1kμkhμk, with ((x)) = x − [x] −...
AbstractTextIn this paper we investigate higher order dimensional Dedekind–Rademacher sums given by ...
AbstractFor each m⩾3, let n2(m) denote the least quadratic nonresidue modulo m. In 1961, Erdős deter...
AbstractWe prove the following result on the distribution of Dedekind sums: limM→∞logMM∑c=1M1c∑Dmodc...
summary:The main purpose of this paper is to study a hybrid mean value problem related to the Dedeki...
AbstractA necessary and sufficient condition is given for a positive integer to appear as the denomi...
We study probability measures defined by the variation of the sum of digits in the Zeckendorf repres...
AbstractIn this paper we give a simple proof for the reciprocity formula for the generalized Dedekin...
AbstractGeneralized reciprocity formulas and Dedekind-Petersson-Knopp-type formulas are given to gen...
D. H. Lehmer initiated the study of the distribution of totatives, which are numbers coprime with a ...
summary:Let $p$ be an odd prime and $c$ a fixed integer with $(c, p)=1$. For each integer $a$ with $...
AbstractIn this article a simple proof for a reciprocity formula for sums of cotangent functions is ...
AbstractIn this paper, we study on two subjects. We first construct degenerate analogues of Dedekind...
AbstractWe introduce higher-dimensional Dedekind sums with a complex parameter z, generalizing Zagie...
In this paper, we express three different, yet related, character sums in terms of generalized Berno...
AbstractIf h, k ∈ Z, k > 0, the Dedekind sum is given by s(h,k) = ∑μ=1kμkhμk, with ((x)) = x − [x] −...
AbstractTextIn this paper we investigate higher order dimensional Dedekind–Rademacher sums given by ...
AbstractFor each m⩾3, let n2(m) denote the least quadratic nonresidue modulo m. In 1961, Erdős deter...
AbstractWe prove the following result on the distribution of Dedekind sums: limM→∞logMM∑c=1M1c∑Dmodc...
summary:The main purpose of this paper is to study a hybrid mean value problem related to the Dedeki...
AbstractA necessary and sufficient condition is given for a positive integer to appear as the denomi...
We study probability measures defined by the variation of the sum of digits in the Zeckendorf repres...
AbstractIn this paper we give a simple proof for the reciprocity formula for the generalized Dedekin...
AbstractGeneralized reciprocity formulas and Dedekind-Petersson-Knopp-type formulas are given to gen...
D. H. Lehmer initiated the study of the distribution of totatives, which are numbers coprime with a ...
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