Conditions for algebraic independence of certain power series of algebraic numbers
Compositio Mathematica, Tome 62 (1987) no. 1, pp. 53-61. 
@article{CM_1987__62_1_53_0,
     author = {Nishioka, Kumiko},
     title = {Conditions for algebraic independence of certain power series of algebraic numbers},
     journal = {Compositio Mathematica},
     pages = {53--61},
     publisher = {Martinus Nijhoff Publishers},
     volume = {62},
     number = {1},
     year = {1987},
     mrnumber = {892151},
     zbl = {0615.10042},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1987__62_1_53_0/}
}
TY  - JOUR
AU  - Nishioka, Kumiko
TI  - Conditions for algebraic independence of certain power series of algebraic numbers
JO  - Compositio Mathematica
PY  - 1987
SP  - 53
EP  - 61
VL  - 62
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1987__62_1_53_0/
LA  - en
ID  - CM_1987__62_1_53_0
ER  - 
%0 Journal Article
%A Nishioka, Kumiko
%T Conditions for algebraic independence of certain power series of algebraic numbers
%J Compositio Mathematica
%D 1987
%P 53-61
%V 62
%N 1
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1987__62_1_53_0/
%G en
%F CM_1987__62_1_53_0
Nishioka, Kumiko. Conditions for algebraic independence of certain power series of algebraic numbers. Compositio Mathematica, Tome 62 (1987) no. 1, pp. 53-61. http://archive.numdam.org/item/CM_1987__62_1_53_0/

Bundschuh, P. and Wylegala, F.-J.: Über algebraische Unabhängigkeit bei gewissen nichtfortsetzbaren Potenzreihen. Arch. Math. 34 (1980) 32-36. | MR | Zbl

Cijsouw, P.L. and Tijdeman, R.: On the transcendence of certain power series of algebraic numbers. Acta Arith. 23 (1973) 301-305. | MR | Zbl

Evertse, J.-H.: On sums of S-units and linear recurrences. Compositio Math. 53 (1984) 225-244. | Numdam | MR | Zbl

Nishioka, K.: Algebraic independence of certain power series of algebraic numbers. J. Number Theory, to appear. | MR | Zbl

Nishioka, K.: Algebraic independence of three Liouville numbers. Arch. Math., to appear. | Zbl

Nishioka, K.: Proof of Masser's conjecture on the algebraic independence of values of Liouville series. Proc. Japan Acad. Ser. A 62 (1986) 219-222. | MR | Zbl