In this paper, for any multivariable function with a periodicity and a certain distribution relation, we define a multiple Dedekind-type sum. Then by a combinatorialgeometric method, we study generalizations of Knopp\u27s formula for the classical Dedekind sums. The main theorem contains many of the preceding results concerning generalizations of Knopp\u27s formula
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
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...
For integers a, b and n > 0 we define [GRAPHICS] and [GRAPHICS] which are similar to the homogeneous...
AbstractSums of Dedekind type are defined by the formula f(h, k) = Σμ(mod k) A(μk) B(hμk), where eac...
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...
The finite arithmetic sum called a Dedekind sum appears in many areas of mathematics, such as topolo...
summary:The various properties of classical Dedekind sums $S(h, q)$ have been investigated by many a...
Abstract Dedekind type DC sums and their generalizations are defined in terms of Euler functions and...
summary:Let $q$, $h$, $a$, $b$ be integers with $q>0$. The classical and the homogeneous Dedekind su...
The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interp...
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, ...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind ?? func...
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...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
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...
For integers a, b and n > 0 we define [GRAPHICS] and [GRAPHICS] which are similar to the homogeneous...
AbstractSums of Dedekind type are defined by the formula f(h, k) = Σμ(mod k) A(μk) B(hμk), where eac...
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...
The finite arithmetic sum called a Dedekind sum appears in many areas of mathematics, such as topolo...
summary:The various properties of classical Dedekind sums $S(h, q)$ have been investigated by many a...
Abstract Dedekind type DC sums and their generalizations are defined in terms of Euler functions and...
summary:Let $q$, $h$, $a$, $b$ be integers with $q>0$. The classical and the homogeneous Dedekind su...
The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interp...
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, ...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind ?? func...
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...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
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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