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Some applications of Brun's criterion
V. P. Varin
Abstract:
We consider some number-theoretic modifications of algorithms transforming rational sequences. These algorithms are widely applicable in numerical analysis. We use them for construction of the regular continued fractions for some fundamental constants. These algorithms together with the Brun’s criterion allow in a number of cases to establish irrationality of the values algorithmically with the use of only the rational arithmetic.
Keywords:
Brun's criterion, regular continued fractions, irrationality proofs.
Citation:
V. P. Varin, “Some applications of Brun's criterion”, Keldysh Institute preprints, 2022, 014, 22 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp3040 https://www.mathnet.ru/eng/ipmp/y2022/p14
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