Bu çalışma, 18-22 Eylül 2009 tarihleri arasında Rethymnon[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur.The aim of this paper is to give relations between generalized Dedekind eta functions, theta functions, Dedekind sums, Hardy-Berndt sums and Hecke operators.Akdeniz ÜniversitesiGreek Minist Educ & Religious AffairsEuropean Soc Computat Methods Sci & Eng
128 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.We prove several infinite ser...
were introduced by the author [l]. The integers h and k are assumed relatively prime, Bp(x) is the p...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
AbstractIn this paper, by using generalized logarithms of Dedekind eta-functions, generalized logari...
This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic ...
Abstract. We extend the methods of Van der Poorten and Chapman [7] for explicitly evaluating the Ded...
130 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.Certain arithmetical sums ari...
We give an explicit formula for the Hauptmodul (eta(tau)/eta(13 tau))(2) of the level-13 Hecke modul...
AbstractIn this paper, we discuss the generalization of the Hecke's integration formula for the Epst...
In this article, we use the theory of elliptic functions to construct theta function identities whic...
AbstractIf h, k ∈ Z, k > 0, the Dedekind sum is given by s(h,k) = ∑μ=1kμkhμk, with ((x)) = x − [x] −...
AbstractL. A. Goldberg (thesis, Univ. of Illinois, Urbana, 1981) discovered some three-term and mixe...
AbstractWe define two quotients of theta-functions depending on two positive real parameters. We the...
AbstractThe main purpose of this paper is to define new generating functions. By applying the Mellin...
We define Dedekind sums attached to a totally real number field of class number one. We prove that t...
128 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.We prove several infinite ser...
were introduced by the author [l]. The integers h and k are assumed relatively prime, Bp(x) is the p...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...
AbstractIn this paper, by using generalized logarithms of Dedekind eta-functions, generalized logari...
This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic ...
Abstract. We extend the methods of Van der Poorten and Chapman [7] for explicitly evaluating the Ded...
130 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.Certain arithmetical sums ari...
We give an explicit formula for the Hauptmodul (eta(tau)/eta(13 tau))(2) of the level-13 Hecke modul...
AbstractIn this paper, we discuss the generalization of the Hecke's integration formula for the Epst...
In this article, we use the theory of elliptic functions to construct theta function identities whic...
AbstractIf h, k ∈ Z, k > 0, the Dedekind sum is given by s(h,k) = ∑μ=1kμkhμk, with ((x)) = x − [x] −...
AbstractL. A. Goldberg (thesis, Univ. of Illinois, Urbana, 1981) discovered some three-term and mixe...
AbstractWe define two quotients of theta-functions depending on two positive real parameters. We the...
AbstractThe main purpose of this paper is to define new generating functions. By applying the Mellin...
We define Dedekind sums attached to a totally real number field of class number one. We prove that t...
128 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.We prove several infinite ser...
were introduced by the author [l]. The integers h and k are assumed relatively prime, Bp(x) is the p...
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η funct...