58 research outputs found
On the distribution of Dedekind sums
Dedekind sums have applications in quite a number of fields of mathematics.
Therefore, their distribution has found considerable interest. This article
gives a survey of several aspects of the distribution of these sums. In
particular, it highlights results about the values of Dedekind sums, their
density and uniform distribution. Further topics include mean values, large and
small (absolute) values, and the behaviour of Dedekind sums near quadratic
irrationals. The present paper can be considered as a supplement to the survey
article [R. W. Bruggeman, On the distribution of Dedekind sums, Contemp. Math.
166 (1994), 197--210]
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