Number theory Equidistribution and exponential sums Concept
Equidistribution modulo one
Summary
A sequence of real numbers is equidistributed modulo one when its fractional parts fill the interval evenly in the long run. Each subinterval then receives a proportion of the terms equal to its length. The notion connects Diophantine approximation, Fourier analysis and probability, and Weyl's criterion reduces it to estimates of exponential sums.
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| Tag | XM6DH57BWY |
|---|---|
| URI | m2://XM6DH57BWY |
| Kind | concept |
| Writing | W0 stub |
| MSC | 11K06, 11J71 |
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