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Gleichverteilung Von Folgen, Die Durch Additive Balbgruppen Definiert Sind

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1114)

Abstract

Let X={xn} be an increasing sequence of positive real numbers, describing the additive semi-group generated by a sequence Y={yk}. If Y is not contained in a discrete subgroup and if the density of Y in [O, N] does not grow faster than polynomially (with N), then it is shown that {xn} is uniformly distributed modulo α for all positive α.

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Literatur

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© 1985 Springer-Verlag

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Losert, V. (1985). Gleichverteilung Von Folgen, Die Durch Additive Balbgruppen Definiert Sind. In: Hlawka, E. (eds) Zahlentheoretische Analysis. Lecture Notes in Mathematics, vol 1114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101647

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  • DOI: https://doi.org/10.1007/BFb0101647

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15189-0

  • Online ISBN: 978-3-540-39281-1

  • eBook Packages: Springer Book Archive