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Found 265 Documents (Results 1–100)

Irrationality and transcendence of alternating series via continued fractions. (English) Zbl 1508.11077

Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 489-508 (2021).
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On irrationality measure of some values of \(\arctan \frac{1}{n} \). (English. Russian original) Zbl 1476.11102

Russ. Math. 64, No. 12, 29-37 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 12, 32-40 (2020).
MSC:  11J82
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Hyperelliptic continued fractions and generalized Jacobians: minicourse given by Umberto Zannier. (English) Zbl 1461.11108

Wüstholz, Gisbert (ed.) et al., Arithmetic and geometry. Ten years in Alpbach. Princeton, NJ: Princeton University Press. Ann. Math. Stud. 202, 56-101 (2019).
MSC:  11J70 14H40
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On irrationality measure of \(\arctan \frac{1}{3} \). (English. Russian original) Zbl 1467.11067

Russ. Math. 63, No. 1, 61-66 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 1, 69-75 (2019).
MSC:  11J82
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Approximating \(\ln 2\) by numbers in the field \( {\mathbb{Q}}(\sqrt{2})\). (English. Russian original) Zbl 1439.11173

Izv. Math. 82, No. 3, 549-577 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 3, 108-135 (2018).
MSC:  11J82
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On irrationality measure functions. (Über die Funktionen des Irrationalitätsmaßes.) (German. English summary) Zbl 1439.11174

Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11–17, 2016. Vilnius: Vilnius University Publishing House. 123-148 (2017).
MSC:  11J82
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Symmetrized version of the Markovecchio integral in the theory of Diophantine approximations. (English. Russian original) Zbl 1322.11081

Math. Notes 97, No. 4, 493-501 (2015); translation from Mat. Zametki 97, No. 4, 483-492 (2015).
MSC:  11J82 11J72
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