We propose a certain formula of Dedekind sum by using two mutually distinct methods. The one is an elementary number theoretic method and the other is a geometric method. Moreover, we re-prove the reciprocity law by the formula
The main purpose of this paper is to define p-adic and q-Dedekind type sums. Using the Volkenborn in...
Abstract Dedekind type DC sums and their generalizations are defined in terms of Euler functions and...
The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interp...
Abstract. In this paper, we prove an interesting reciprocity formula for a certain case of a general...
AbstractDedekind symbols are generalizations of the classical Dedekind sums (symbols), and the symbo...
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...
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, ...
AbstractWe introduce Dedekind sums of a new type defined over finite fields. These are similar to th...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
AbstractWe define a Dedekind symbol associated with a J-form (J-forms generalize the usual Jacobi fo...
Using the Euler-MacLaurin summation formula, we give alternative proofs for the reciprocity formulas...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduce...
AbstractIn this paper we give a simple proof for the reciprocity formula for the generalized Dedekin...
In this paper we introduce an elliptic analogue of the generalized Dedekind-Rademacher sums which sa...
The main purpose of this paper is to define p-adic and q-Dedekind type sums. Using the Volkenborn in...
Abstract Dedekind type DC sums and their generalizations are defined in terms of Euler functions and...
The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interp...
Abstract. In this paper, we prove an interesting reciprocity formula for a certain case of a general...
AbstractDedekind symbols are generalizations of the classical Dedekind sums (symbols), and the symbo...
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...
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, ...
AbstractWe introduce Dedekind sums of a new type defined over finite fields. These are similar to th...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
AbstractWe define a Dedekind symbol associated with a J-form (J-forms generalize the usual Jacobi fo...
Using the Euler-MacLaurin summation formula, we give alternative proofs for the reciprocity formulas...
73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.In 1877, R. Dedekind introduce...
AbstractIn this paper we give a simple proof for the reciprocity formula for the generalized Dedekin...
In this paper we introduce an elliptic analogue of the generalized Dedekind-Rademacher sums which sa...
The main purpose of this paper is to define p-adic and q-Dedekind type sums. Using the Volkenborn in...
Abstract Dedekind type DC sums and their generalizations are defined in terms of Euler functions and...
The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interp...
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