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math.NT2018
On a finite trigonometric sum related to Dedekind sum
Mouloud Goubi
Finite trigonometric sums appear in various branches of Physics, Mathematics and their applications. For p; q to coprime positive integers and r we consider the finite trigonometri…
math.NT2018
New arithmetical proof of the reciprocity law for Dedekind sums
Mouloud Goubi
In this paper, for coprime numbers p and q we consider the well known Dedekind sums S(p,q) First, we give an improvement of the proof given by H. Rademacher and A. Whiteman, and we…