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2020 Approximating $\pi$ by numbers in the field $\mathbb{Q}(\sqrt{3})$
Mikhail Yu. Luchin, Vladislav Kh. Salikhov
Mosc. J. Comb. Number Theory 9(4): 421-433 (2020). DOI: 10.2140/moscow.2020.9.421

Abstract

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 π by numbers from the field (3).

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Mikhail Yu. Luchin. Vladislav Kh. Salikhov. "Approximating $\pi$ by numbers in the field $\mathbb{Q}(\sqrt{3})$." Mosc. J. Comb. Number Theory 9 (4) 421 - 433, 2020. https://doi.org/10.2140/moscow.2020.9.421

Information

Received: 15 December 2019; Revised: 9 September 2020; Accepted: 23 September 2020; Published: 2020
First available in Project Euclid: 12 November 2020

zbMATH: 07272359
MathSciNet: MR4170706
Digital Object Identifier: 10.2140/moscow.2020.9.421

Subjects:
Primary: 11J17

Rights: Copyright © 2020 Mathematical Sciences Publishers

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