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Distribution of a Sparse Set of Fractions Modulo q

Distribution of a Sparse Set of Fractions Modulo q Abstract The distribution on the torus R/Z of a set of fractions of the form   R={um¯R(n)(modq)q:u∈U,m∈M,n∈N} 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 U, M, N are subsets of {1,…,q}. Under some natural assumptions, it is shown that the set R is uniformly distributed on R/Z. © London Mathematical Society http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Oxford University Press

Distribution of a Sparse Set of Fractions Modulo q

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References (10)

Publisher
Oxford University Press
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/33.2.138
Publisher site
See Article on Publisher Site

Abstract

Abstract The distribution on the torus R/Z of a set of fractions of the form   R={um¯R(n)(modq)q:u∈U,m∈M,n∈N} 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 U, M, N are subsets of {1,…,q}. Under some natural assumptions, it is shown that the set R is uniformly distributed on R/Z. © London Mathematical Society

Journal

Bulletin of the London Mathematical SocietyOxford University Press

Published: Mar 1, 2001

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