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Dedekind sums take each value infinitely many times. (English) Zbl 1422.11089

In this paper, the author proves the interesting result that a Dedekind sum takes each value infinitely many times. A key ingredient in the proof of this result is a specific periodicity property that the Dedekind sum inherits from the continued fraction expansion of a quadratic irrational with odd period.

MSC:

11F20 Dedekind eta function, Dedekind sums
11A55 Continued fractions
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References:

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