Add to ORKG$h, $ $k, $ $m(k, m\geq 1) $ , Dedekind $S_{m+1}^{(r)}(h, k), $ $1\leqq r\leqq m$ $S_{m+1}^{(r)}(h, k) = \sum_{a=0}^{k-1}\overline{B}_{m+1-r}(\frac{a}{k})\overline{B}_{r}(\frac{ha}{k})
. ( J\mbox{\boldmath $\nu$} fusion algebra) $\mathfrak{U}=<x_{0}, $ $x_{1}, $ $\ldots, $ $x_{d}&g...
AbstractRademacher asked the following: if h1k1 and h2k2 are adjacent terms in a Farey series and if...
were introduced by the author [l]. The integers h and k are assumed relatively prime, Bp(x) is the p...
For a positive integer k and an arbitrary integer h, the Dedekind sum s(h; k) is de ned by s(h; k) =...
1. Background. Dedekind sums are classical objects of study intro-duced by Richard Dedekind in the 1...
In this paper, with the help of the Hardy and Dedekind sums we will give many properties of the sum ...
summary:Let $p$ be an odd prime and $c$ a fixed integer with $(c, p)=1$. For each integer $a$ with $...
AbstractSums of Dedekind type are defined by the formula f(h, k) = Σμ(mod k) A(μk) B(hμk), where eac...
Abstract. Every matrix over a Dedekind domain is equivalent to a direct sum of matrices A = (ai,j), ...
We define Dedekind sums attached to a totally real number field of class number one. We prove that t...
summary:For any positive integer $k\geq 3$, it is easy to prove that the \mbox {$k$-polygonal} numbe...
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the...
summary:The various properties of classical Dedekind sums $S(h, q)$ have been investigated by many a...
summary:The main purpose of this paper is to study a hybrid mean value problem related to the Dedeki...
Theoretical thesis.Bibliography: pages [47]-50.1. Introduction -- 2. Elementary properties -- 3. The...
. ( J\mbox{\boldmath $\nu$} fusion algebra) $\mathfrak{U}=<x_{0}, $ $x_{1}, $ $\ldots, $ $x_{d}&g...
AbstractRademacher asked the following: if h1k1 and h2k2 are adjacent terms in a Farey series and if...
were introduced by the author [l]. The integers h and k are assumed relatively prime, Bp(x) is the p...
For a positive integer k and an arbitrary integer h, the Dedekind sum s(h; k) is de ned by s(h; k) =...
1. Background. Dedekind sums are classical objects of study intro-duced by Richard Dedekind in the 1...
In this paper, with the help of the Hardy and Dedekind sums we will give many properties of the sum ...
summary:Let $p$ be an odd prime and $c$ a fixed integer with $(c, p)=1$. For each integer $a$ with $...
AbstractSums of Dedekind type are defined by the formula f(h, k) = Σμ(mod k) A(μk) B(hμk), where eac...
Abstract. Every matrix over a Dedekind domain is equivalent to a direct sum of matrices A = (ai,j), ...
We define Dedekind sums attached to a totally real number field of class number one. We prove that t...
summary:For any positive integer $k\geq 3$, it is easy to prove that the \mbox {$k$-polygonal} numbe...
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the...
summary:The various properties of classical Dedekind sums $S(h, q)$ have been investigated by many a...
summary:The main purpose of this paper is to study a hybrid mean value problem related to the Dedeki...
Theoretical thesis.Bibliography: pages [47]-50.1. Introduction -- 2. Elementary properties -- 3. The...
. ( J\mbox{\boldmath $\nu$} fusion algebra) $\mathfrak{U}=<x_{0}, $ $x_{1}, $ $\ldots, $ $x_{d}&g...
AbstractRademacher asked the following: if h1k1 and h2k2 are adjacent terms in a Farey series and if...
were introduced by the author [l]. The integers h and k are assumed relatively prime, Bp(x) is the p...