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Russian Mathematics

, Volume 63, Issue 1, pp 61–66 | Cite as

On Irrationality Measure of arctan \(\frac{1}{3}\)

  • V. Kh. SalikhovEmail author
  • M. G. BashmakovaEmail author
Article
  • 6 Downloads

Abstract

We investigate the arithmetic properties of the value arctan \(\frac{1}{3}\). We elaborate special integral construction with the property of symmetry for evaluating irrationality measure of this number. We research linear form, generated by this integral, and prove a new result for extent of the irrationality of arctan \(\frac{1}{3}\), which improves the previous one.

Key words

irrationality measure linear form 

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Notes

Acknowledgments

Supported by Russian Found of Fundamental Research, grant No. ‘18-01-00296A.

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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Bryansk State Technical UniversityBryanskRussia

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