Dedekind sums and uniform distribution

Gerald Myerson

doi:10.1016/0022-314X(88)90039-X

Dedekind sums and uniform distribution

Gerald Myerson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

Let s(d,c) be the Dedekind sum; let r be a nonzero real number. We show that the sequence of points in two-space given by 〈( d c, rs(d,c))〉, c = 1, 2,..., 0 < d < c, (d, c) = 1, is uniformly distributed (mod 1).

Original language	English
Pages (from-to)	233-239
Number of pages	7
Journal	Journal of Number Theory
Volume	28
Issue number	3
DOIs	https://doi.org/10.1016/0022-314X(88)90039-X
Publication status	Published - 1988
Externally published	Yes

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10.1016/0022-314X(88)90039-X

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title = "Dedekind sums and uniform distribution",

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AB - Let s(d,c) be the Dedekind sum; let r be a nonzero real number. We show that the sequence of points in two-space given by 〈( d c, rs(d,c))〉, c = 1, 2,..., 0 < d < c, (d, c) = 1, is uniformly distributed (mod 1).

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JO - Journal of Number Theory

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Dedekind sums and uniform distribution

Abstract

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