Geodesic
On the $p$-adic transcendence measure of the values of functions satisfying some functional equations
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 31-37

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Let $f(z)=f(z_1,\dots,z_8)$ be a transcendental function given by its Taylor series with coefficients from an algebraic field of finite degree over $Q$ in some neighbourhood $U$ of zero and satisfying Mahler type functional equations. Under some conditions on the function and on the algebraic point $\alpha=(\alpha_1,\dots,\alpha_8)\in U$ we compute the $p$-adic transcendence measure of $f(\alpha)$, $p$ being a prime number. 
@article{VMUMM_1983_2_a6,
     author = {S. M. Molchanov},
     title = {On the $p$-adic transcendence measure of the values of functions satisfying some functional equations},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {31--37},
     publisher = {mathdoc},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a6/}
}
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S. M. Molchanov. On the $p$-adic transcendence measure of the values of functions satisfying some functional equations. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 31-37. http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a6/