Equality of Dedekind sums modulo 72Z

Authors

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

Keywords:

Congruence, Dedekind sums, Equivalent, Inversion number

Abstract

According to the wide appearance of Dedekind sums in different applications on different subjects, a new approach for the equivalence of the essential and sufficient condition for ( ) ( ) in and ( ) ( ) in where ( ) Σ(( ))(( )) and the equality of .two .Dedekind sums with their connections is given. The conditions for ( ) ( ) in which is equivalent to ( )– ( ) in were demonstrated with condition that of does not divide . Some applications for the important of Dedekind sums were given.

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Published

2021-12-02

Issue

Vol 58 No 3B (2017)

Section

Mathematics

How to Cite

[1]
S. A. . Salman and I. S. Hadeed, “Equality of Dedekind sums modulo 72Z”, Iraqi Journal of Science, vol. 58, no. 3B, pp. 1487–1492, Dec. 2021, Accessed: Dec. 04, 2025. [Online]. Available: https://www.ijs.uobaghdad.edu.iq/index.php/eijs/article/view/5826

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