Dedekind Sums with Arguments near Certain Transcendental Numbers
Institut für Mathematik
We study the asymptotic behavior of the classical Dedekind sums
) for the sequence of convergents sk
of the transcendental number
In particular, we show that there are infinitely many open intervals of constant length such that the
) has infinitely many transcendental cluster points in each interval.
Full version: pdf,
Received April 9 2013;
revised version received June 20 2013.
Published in Journal of Integer Sequences, July 29 2013.
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