no. 1
Algebraic independence by Mahler’s method and S-unit equations
Compositio Mathematica, Tome 92 (1994) no. 1, pp. 87-110. 
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     author = {Nishioka, Kumiko},
     title = {Algebraic independence by {Mahler{\textquoteright}s} method and $S$-unit equations},
     journal = {Compositio Mathematica},
     pages = {87--110},
     publisher = {Kluwer Academic Publishers},
     volume = {92},
     number = {1},
     year = {1994},
     mrnumber = {1275722},
     zbl = {0802.11029},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1994__92_1_87_0/}
}
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Nishioka, Kumiko. Algebraic independence by Mahler’s method and $S$-unit equations. Compositio Mathematica, Tome 92 (1994) no. 1, pp. 87-110. http://archive.numdam.org/item/CM_1994__92_1_87_0/

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