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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Bulletin of the London Mathematical Society 2001-03, Vol.33 (2), p.138-148
Hauptverfasser: COBELI, CRISTIAN, ZAHARESCU, ALEXANDRU
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
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.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms/33.2.138