Geodesic
On the measure of mutual transcendence of almost all pairs of $p$-adic numbers
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 62-65 
A. Ya. Yanchenko. On the measure of mutual transcendence of almost all pairs of $p$-adic numbers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 62-65. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a14/
@article{VMUMM_1982_3_a14,
     author = {A. Ya. Yanchenko},
     title = {On the measure of mutual transcendence of almost all pairs of $p$-adic numbers},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {62--65},
     year = {1982},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a14/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We give an estimate of the measure of mutual transcendence of almost all pairs ot $p$-adic numbers. This estimate is exact as the order of the degree is concerned.