The Distribution of the Rational Points on the Unit Circle
- Autores: Ustinov A.1,2, Korolev M.3
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Afiliações:
- Pacific National University
- Division of the Institute for Applied Mathematics, Far Eastern Branch
- Steklov Mathematical Institute
- Edição: Volume 98, Nº 1 (2018)
- Páginas: 321-324
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225523
- DOI: https://doi.org/10.1134/S1064562418050083
- ID: 225523
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Resumo
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.
Sobre autores
A. Ustinov
Pacific National University; Division of the Institute for Applied Mathematics, Far Eastern Branch
Email: korolevma@mi.ras.ru
Rússia, Khabarovsk; Khabarovsk
M. Korolev
Steklov Mathematical Institute
Autor responsável pela correspondência
Email: korolevma@mi.ras.ru
Rússia, Moscow