Мера иррациональности числа $\frac{\pi}{\sqrt{3}}$@@@Irrationality measure of the number $\frac{\pi}{\sqrt{3}}$

@inproceedings{2015,
  title={Мера иррациональности числа \$\frac\{\pi\}\{\sqrt\{3\}\}\$@@@Irrationality measure of the number \$\frac\{\pi\}\{\sqrt\{3\}\}\$},
  author={Валентина Александровна Андросенко and Valentina Aleksandrovna Androsenko},
  year={2015}
}
4 Citations
On the Irrationality Measures of Certain Numbers. II
For the irrationalitymeasures of the numbers $$\sqrt {2k - 1} $$2k−1 arctan$$\left( {\sqrt {2k - 1} /\left( {k - 1} \right)} \right)$$(2k−1/(k−1)), where k is an even positive integer, upper boundsExpand
Об оценке меры иррациональности чисел вида $\sqrt{4k+3}\ln{\frac{\sqrt{4k+3}+1}{\sqrt{4k+3}-1}}$ и $\frac{1}{\sqrt{k}}\arctg{\frac{1}{\sqrt{k}}}^1$
The arithmetic properties of the values of hypergeometric function have been studied by various methods since the paper of C. Siegel in 1929. This direction of the theory of DiophantineExpand

References

SHOWING 1-10 OF 13 REFERENCES
On the irrationality exponent of the number ln 2
We propose another method of deriving the Marcovecchio estimate for the irrationality measure of the number ln 2 following, for the most part, the method of proof of the irrationality of the numberExpand
On the measure of irrationality of the number π
A new estimate of the measure of irrationality of the number π is obtained. The previous result (M. Hata, 1993) is improved by means of another integral construction.
On the irrationality measure of ln3
Cancellation of factorials
We study the arithmetic property which allows to sharpen number-theoretic estimates. Previous results on this property are, as a rule, quantitive. The application of our general qualitive theorems toExpand
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