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On the distribution of αpγ + β modulo one

Article ID Journal Published Year Pages File Type
5772666 Journal of Number Theory 2017 9 Pages PDF
Abstract
Let ‖⋅‖ denote the minimum distance to an integer. For 0<γ<1, θ>0 and (α,β)∈R∖{0}×R we study when‖αpγ+β‖
Keywords
11N3611J71primaryDiophantine approximationsecondaryExponential sums
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the distribution of αpγ + β modulo one
Authors
Alexander Dunn,
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Journal
Journal of Number Theory
Journal: Journal of Number Theory
Related Categories
11N36
11J71
primary
Diophantine approximation
secondary
Exponential sums
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Symbolic Computation
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