AbstractWe prove the following result on the distribution of Dedekind sums: limM→∞logMM∑c=1M1c∑Dmodc∗gS(d,c),dc=12π2∫−∞∞∫RZg(x,y) dy dx, for each compactly supported continuous function g on R × (R/Z). The proof uses Kuznetsov's sum formula in the modular case for varying real weight
Let k, N ∈ N with N square-free and k > 1. We prove an orthogonal relation and use this to compute t...
International audienceWe show that the Dirichlet series associated to the Fourier coefficients of a ...
We define higher-dimensional Dedekind sums that generalize the classical Dedekind-Rademacher sums as...
AbstractWe prove the following result on the distribution of Dedekind sums: limM→∞logMM∑c=1M1c∑Dmodc...
Theoretical thesis.Bibliography: pages [47]-50.1. Introduction -- 2. Elementary properties -- 3. The...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind ?? func...
AbstractThe main purpose of this paper is using the mean value theorem of the Dirichlet L-functions ...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduce...
1. Background. Dedekind sums are classical objects of study intro-duced by Richard Dedekind in the 1...
Cette thèse traite de certains aspects analytiques liés aux coefficients de Fourier des formes modul...
We consider generalized Dedekind sums in dimension n, defined as sum of products of values of period...
AbstractIf h, k ∈ Z, k > 0, the Dedekind sum is given by s(h,k) = ∑μ=1kμkhμk, with ((x)) = x − [x] −...
International audienceLet $d_0$ be a given square-free integer. We give an explicit formula $M_{d_0}...
summary:Let $p$ be an odd prime and $c$ a fixed integer with $(c, p)=1$. For each integer $a$ with $...
Let k, N ∈ N with N square-free and k > 1. We prove an orthogonal relation and use this to compute t...
International audienceWe show that the Dirichlet series associated to the Fourier coefficients of a ...
We define higher-dimensional Dedekind sums that generalize the classical Dedekind-Rademacher sums as...
AbstractWe prove the following result on the distribution of Dedekind sums: limM→∞logMM∑c=1M1c∑Dmodc...
Theoretical thesis.Bibliography: pages [47]-50.1. Introduction -- 2. Elementary properties -- 3. The...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind ?? func...
AbstractThe main purpose of this paper is using the mean value theorem of the Dirichlet L-functions ...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduce...
1. Background. Dedekind sums are classical objects of study intro-duced by Richard Dedekind in the 1...
Cette thèse traite de certains aspects analytiques liés aux coefficients de Fourier des formes modul...
We consider generalized Dedekind sums in dimension n, defined as sum of products of values of period...
AbstractIf h, k ∈ Z, k > 0, the Dedekind sum is given by s(h,k) = ∑μ=1kμkhμk, with ((x)) = x − [x] −...
International audienceLet $d_0$ be a given square-free integer. We give an explicit formula $M_{d_0}...
summary:Let $p$ be an odd prime and $c$ a fixed integer with $(c, p)=1$. For each integer $a$ with $...
Let k, N ∈ N with N square-free and k > 1. We prove an orthogonal relation and use this to compute t...
International audienceWe show that the Dirichlet series associated to the Fourier coefficients of a ...
We define higher-dimensional Dedekind sums that generalize the classical Dedekind-Rademacher sums as...
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