Geodesic
On the irrationality measure of the number $\log 5+\frac{\pi}{2}$ and some other numbers
Čebyševskij sbornik, Tome 8 (2007) no. 2, pp. 97-108

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In this paper we find estimates for irrationality measures of the number $\log5+\frac{\pi}{2}$ and the values of the function $\arctan x$ in points $\frac{1}{n}$ where $n \in{\mathbb N}$, $n\geq3$. 
@article{CHEB_2007_8_2_a10,
     author = {E. B. Tomashevskaya},
     title = {On the irrationality measure of the number $\log 5+\frac{\pi}{2}$ and some other numbers},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {97--108},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2007_8_2_a10/}
}
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E. B. Tomashevskaya. On the irrationality measure of the number $\log 5+\frac{\pi}{2}$ and some other numbers. Čebyševskij sbornik, Tome 8 (2007) no. 2, pp. 97-108. http://geodesic.mathdoc.fr/item/CHEB_2007_8_2_a10/