AbstractL. A. Goldberg (thesis, Univ. of Illinois, Urbana, 1981) discovered some three-term and mixed three-term relations for Hardy sums. His proofs are based on Berndt's transformation formulae for the logarithms of the classical theta functions. In this paper, we give elementary proofs for all of Goldberg's results and also prove some new three-term relations for Dedekind sums
Theoretical thesis.Bibliography: pages [47]-50.1. Introduction -- 2. Elementary properties -- 3. The...
Abstract. In this paper, we prove an interesting reciprocity formula for a certain case of a general...
In this paper we give a transformation formula for an ana-lytic generalized Eisenstein series. In th...
AbstractIn this paper, by using generalized logarithms of Dedekind eta-functions, generalized logari...
130 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.Certain arithmetical sums ari...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduce...
AbstractIn this article a simple proof for a reciprocity formula for sums of cotangent functions is ...
Using the Euler-MacLaurin summation formula, we give alternative proofs for the reciprocity formulas...
In this paper, with the help of the Hardy and Dedekind sums we will give many properties of the sum ...
We give a transformation formula for certain infinite series in which some elliptic Dedekind-Rademac...
The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interp...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
AbstractIn this paper, we study on two subjects. We first construct degenerate analogues of Dedekind...
Bu çalışma, 18-22 Eylül 2009 tarihleri arasında Rethymnon[Yunanistan]’da düzenlenen International Co...
AbstractIn this paper, we establish a three-term theta function identity using the complex variable ...
Theoretical thesis.Bibliography: pages [47]-50.1. Introduction -- 2. Elementary properties -- 3. The...
Abstract. In this paper, we prove an interesting reciprocity formula for a certain case of a general...
In this paper we give a transformation formula for an ana-lytic generalized Eisenstein series. In th...
AbstractIn this paper, by using generalized logarithms of Dedekind eta-functions, generalized logari...
130 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.Certain arithmetical sums ari...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduce...
AbstractIn this article a simple proof for a reciprocity formula for sums of cotangent functions is ...
Using the Euler-MacLaurin summation formula, we give alternative proofs for the reciprocity formulas...
In this paper, with the help of the Hardy and Dedekind sums we will give many properties of the sum ...
We give a transformation formula for certain infinite series in which some elliptic Dedekind-Rademac...
The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interp...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
AbstractIn this paper, we study on two subjects. We first construct degenerate analogues of Dedekind...
Bu çalışma, 18-22 Eylül 2009 tarihleri arasında Rethymnon[Yunanistan]’da düzenlenen International Co...
AbstractIn this paper, we establish a three-term theta function identity using the complex variable ...
Theoretical thesis.Bibliography: pages [47]-50.1. Introduction -- 2. Elementary properties -- 3. The...
Abstract. In this paper, we prove an interesting reciprocity formula for a certain case of a general...
In this paper we give a transformation formula for an ana-lytic generalized Eisenstein series. In th...
DOI
Add to ORKG