DISTRIBUTION OF A SPARSE SET OF FRACTIONS MODULO q
The distribution on the torus ℝ/ℤ of a set of fractions of the form (formula here) is investigated, where q is a large integer, m is the inverse of m modulo q, R(x) is a rational function defined modulo q, and [Uscr ], [Mscr ], [Nscr ] are subsets of {1,…,q}. Under some natural assumptions, it is sh...
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Veröffentlicht in: | The Bulletin of the London Mathematical Society 2001-03, Vol.33 (2), p.138-148 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | The distribution on the torus ℝ/ℤ of a set of fractions of the form (formula here) is investigated, where q is a large integer, m is the inverse of m modulo q, R(x) is a rational function
defined modulo q, and [Uscr ], [Mscr ], [Nscr ] are subsets of {1,…,q}. Under some natural assumptions, it is shown
that the set [Rscr ] is uniformly distributed on ℝ/ℤ. |
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ISSN: | 0024-6093 1469-2120 |
DOI: | 10.1112/blms/33.2.138 |