Video library: M. A. Korolev, Distribution of rational points on the circle of unit radius

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Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2019
November 20, 2019 12:15–12:30, Steklov Mathematical Institute of RAS, Conference Hall, 8 Gubkina St., Moscow

Distribution of rational points on the circle of unit radius

M. A. Korolev

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	MP4	195.7 Mb
	MP4	410.1 Mb

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Abstract: We obtain an expression for the density of the distribution of the lengths of arcs connecting neighbouring rational points on the unit circle with denominators not exceeding a given bound.

Related articles:

Distribution of rational points on the circle of unit radius
M. A. Korolev, A. V. Ustinov
Izv. RAN. Ser. Mat., 2019, 83:5, 107–148

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