Geodesic
On a~measure of algebraic independence of values of Jacobi elliptic functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 209-219

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In the paper, an estimate for the measure of algebraic independence is proved for values of the Jacobi elliptic function $\operatorname{sn}(z)$ at different algebraic points. 
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     author = {Ya. M. Kholyavka},
     title = {On a~measure of algebraic independence of values of {Jacobi} elliptic functions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {209--219},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a16/}
}
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Ya. M. Kholyavka. On a~measure of algebraic independence of values of Jacobi elliptic functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 209-219. http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a16/