On Irrationality Measure of arctan 1 3

On Irrationality Measure of arctan 1 3

We investigate the arithmetic properties of the value arctan 13. 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 o...

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Veröffentlicht in:Russian mathematics 2019-01, Vol.63 (1), p.61-66
Hauptverfasser: V. Kh. Salikhov, Bashmakova, M G
Format: Artikel
Sprache:eng
Schlagworte:
Integrals
Irrationality
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Zusammenfassung:We investigate the arithmetic properties of the value arctan 13. 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 13, which improves the previous one.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X19010079