The fractional parts of Dedekind sums

2013/10/04 by Kurt Girstmair, Girstmair, Kurt
Mathematics · #11F20 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F20

paper · pdf · doi:10.48550/arxiv.1310.1253

4 pages

arxiv created 2013/10/14 · arxiv updated 2013/10/15

Abstract

We show that each rational number r, 0≤ r<1, occurs as the fractional part of a Dedekind sum S(m,n).

Related

• The number of Dedekind sums with equal fractional parts
• Fractional parts of Dedekind sums
• On Dedekind sums with equal values
• Approximation of rational numbers by Dedekind sums
• On a criterion for the equality of Dedekind Sums