Geodesic
On the measure of algebraic independence of values of derivatives of a~$p$-adic modular function
Matematičeskie zametki, Tome 61 (1997) no. 3, pp. 431-440

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The measure of the relative transcendence for the values of the derivatives of a $p$-adic Weyl–Lutz modular function $J(q)$ at algebraic points is estimated. 
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     author = {A. Ya. Yanchenko},
     title = {On the measure of algebraic independence of values of derivatives of a~$p$-adic modular function},
     journal = {Matemati\v{c}eskie zametki},
     pages = {431--440},
     publisher = {mathdoc},
     volume = {61},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_3_a11/}
}
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A. Ya. Yanchenko. On the measure of algebraic independence of values of derivatives of a~$p$-adic modular function. Matematičeskie zametki, Tome 61 (1997) no. 3, pp. 431-440. http://geodesic.mathdoc.fr/item/MZM_1997_61_3_a11/