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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {1983},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a6/}
}
TY  - JOUR
AU  - S. M. Molchanov
TI  - On the $p$-adic transcendence measure of the values of functions satisfying some functional equations
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 1983
SP  - 31
EP  - 37
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a6/
LA  - ru
ID  - VMUMM_1983_2_a6
ER  - 
%0 Journal Article
%A S. M. Molchanov
%T On the $p$-adic transcendence measure of the values of functions satisfying some functional equations
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 31-37
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a6/
%G ru
%F VMUMM_1983_2_a6
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/