An algorithm for a modified computation of Dedekind sums

Authors

  • Iman S. Hadeed Applied Science, Department Mathematics and computer applications,University of Technology,Iraq
  • Shatha A. Salman Applied Science, Department Mathematics and computer applications,University of Technology,Iraq

DOI:

https://doi.org/10.29304/jqcm.2020.12.1.680

Keywords:

Dedekind sums, Polytope, Algorithm, Lattice polytope

Abstract

The purpose of this paper is to present an algorithm that compute  Dedekind sums s(a, b) .This algorithm implemented by using essential definition of Dedekind sum .since these sums arise in the theory of modular forms and in number theory as well as in various other areas of mathematics. These sums are rational numbers and a table of the exact values is given. Some applications for the important of Dedekind sums were presented. 

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Published

2020-03-11

How to Cite

Hadeed, I. S., & Salman, S. A. (2020). An algorithm for a modified computation of Dedekind sums. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(1), Comp Page 49–53. https://doi.org/10.29304/jqcm.2020.12.1.680

Issue

Vol. 12 No. 1 (2020): JQCM

Section

Computer Articles