Email this article The Distribution of the Rational Points on the Unit Circle
- Authors: Ustinov A.V.1,2, Korolev M.A.3
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Affiliations:
- Pacific National University
- Division of the Institute for Applied Mathematics, Far Eastern Branch
- Steklov Mathematical Institute
- Issue: Vol 98, No 1 (2018)
- Pages: 321-324
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225523
- DOI: https://doi.org/10.1134/S1064562418050083
- ID: 225523
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Abstract
In the paper, the explicit form of distribution function for the lengths of arcs connecting neighbouring rational points on the unit circle whose denominators do not exceed given value, is given.
About the authors
A. V. Ustinov
Pacific National University; Division of the Institute for Applied Mathematics, Far Eastern Branch
Email: korolevma@mi.ras.ru
Russian Federation, Khabarovsk; Khabarovsk
M. A. Korolev
Steklov Mathematical Institute
Author for correspondence.
Email: korolevma@mi.ras.ru
Russian Federation, Moscow
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