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Found 229 Documents (Results 1–100)

Exploring continued fractions. From the integers to solar eclipses. (English) Zbl 1496.11009

AMS/MAA Dolciani Mathematical Expositions 53. Providence, RI: MAA Press/American Mathematical Society (AMS) (ISBN 978-1-4704-6128-7/pbk; 978-1-4704-5156-1/ebook). xix, 480 p. (2019).
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The karyon algorithm for expansion in multidimensional continued fractions. (English. Russian original) Zbl 1440.40002

J. Math. Sci., New York 242, No. 4, 487-508 (2019); translation from Zap. Nauchn. Semin. POMI 469, 32-63 (2018).
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Distribution of rational points on the circle of unit radius. (English. Russian original) Zbl 1436.11012

Izv. Math. 83, No. 5, 1008-1049 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 5, 107-148 (2019).
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Linear-fractional invariance of multidimensional continued fractions. (English. Russian original) Zbl 1411.11069

J. Math. Sci., New York 234, No. 5, 616-639 (2018); translation from Zap. Nauchn. Semin. POMI 458, 42-76 (2017).
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On the distribution of small denominators in the Farey series of order \(N\). (English) Zbl 1343.11026

Kotsireas, Ilias S. (ed.) et al., Advances in combinatorics. In part based on the 3rd Waterloo workshop on computer algebra (WWCA, W80) 2011, Waterloo, Canada, May 26–29, 2011. Dedicated to Herbert Saul Wilf on the occasion of his 80th birthday. Berlin: Springer (ISBN 978-3-642-30978-6/hbk; 978-3-642-30979-3/ebook). 275-286 (2013).
MSC:  11B57 11J70
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Statistical properties of finite continued fractions with fixed denominator. (English. Russian original) Zbl 1352.11063

Dokl. Math. 87, No. 2, 160-163 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 3, 255-258 (2013).
MSC:  11K50 11J70
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