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Approximating $\pi$
by numbers in the field $\mathbb{Q}(\sqrt{3})$
Mikhail Yu. Luchin and Vladislav Kh. Salikhov |
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Vol. 9 (2020), No. 4, 421–433
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Abstract |
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Using a new integral construction which combines the idea of symmetry suggested by V. Salikhov in 2007 and the integral introduced by Marcovecchio in 2009, we obtain a new bound for approximation to by numbers from the field . |
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Keywords
irrationality measure, linear form, complex integral
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Mathematical Subject Classification 2010
Primary: 11J17
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Milestones
Received: 15 December 2019
Revised: 9 September 2020
Accepted: 23 September 2020
Published: 5 November 2020
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Authors |
| Mikhail Yu. Luchin | |
| Department of Higher
Mathematics Bryansk State Technical University Bryansk Russia |
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| Vladislav Kh. Salikhov | |
| Department of Higher
Mathematics Bryansk State Technical University Bryansk Russia |
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