For integers a, b and n > 0 we define [GRAPHICS] and [GRAPHICS] which are similar to the homogeneous Dedekind sum S(a, b, n). In this paper we establish functional equations for S-Gamma and T-Gamma. Moreover, by means of uniform function (introduced by Sun in 1989) we are able to extend Knopp's identity on Dedekind sumsvastly. (C) 2002 Elsevier Science (USA)
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind ?? func...
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...
AbstractFor integers a, b and n > 0 we define SΓ(a,b,n) = ∑r=0n∤brn−1arn ln Γbrn andSΓ(a,b,n) = ∑r=0...
In this paper, for any multivariable function with a periodicity and a certain distribution relation...
summary:Let $q$, $h$, $a$, $b$ be integers with $q>0$. The classical and the homogeneous Dedekind su...
AbstractSums of Dedekind type are defined by the formula f(h, k) = Σμ(mod k) A(μk) B(hμk), where eac...
summary:The various properties of classical Dedekind sums $S(h, q)$ have been investigated by many a...
AbstractA brief and elementary proof of Petersson and Knopp's recent theorem on Dedekind sums is giv...
AbstractGeneralized reciprocity formulas and Dedekind-Petersson-Knopp-type formulas are given to gen...
Abstract. In this paper, we prove an interesting reciprocity formula for a certain case of a general...
were introduced by the author [l]. The integers h and k are assumed relatively prime, Bp(x) is the p...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduce...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
In [11], Hickerson made an explicit formula for Dedekind sums s(p,q) in terms of the continued fract...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind ?? func...
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...
AbstractFor integers a, b and n > 0 we define SΓ(a,b,n) = ∑r=0n∤brn−1arn ln Γbrn andSΓ(a,b,n) = ∑r=0...
In this paper, for any multivariable function with a periodicity and a certain distribution relation...
summary:Let $q$, $h$, $a$, $b$ be integers with $q>0$. The classical and the homogeneous Dedekind su...
AbstractSums of Dedekind type are defined by the formula f(h, k) = Σμ(mod k) A(μk) B(hμk), where eac...
summary:The various properties of classical Dedekind sums $S(h, q)$ have been investigated by many a...
AbstractA brief and elementary proof of Petersson and Knopp's recent theorem on Dedekind sums is giv...
AbstractGeneralized reciprocity formulas and Dedekind-Petersson-Knopp-type formulas are given to gen...
Abstract. In this paper, we prove an interesting reciprocity formula for a certain case of a general...
were introduced by the author [l]. The integers h and k are assumed relatively prime, Bp(x) is the p...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduce...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
In [11], Hickerson made an explicit formula for Dedekind sums s(p,q) in terms of the continued fract...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind ?? func...
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...
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