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},
zbl = {0615.10042},
mrnumber = {892151},
language = {en},
url = {http://www.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
DA  - 1987///
SP  - 53
EP  - 61
VL  - 62
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://www.numdam.org/item/CM_1987__62_1_53_0/
UR  - https://zbmath.org/?q=an%3A0615.10042
UR  - https://www.ams.org/mathscinet-getitem?mr=892151
LA  - en
ID  - CM_1987__62_1_53_0
ER  - 
Nishioka, Kumiko. Conditions for algebraic independence of certain power series of algebraic numbers. Compositio Mathematica, Tome 62 (1987) no. 1, pp. 53-61. http://www.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 575546 | Zbl 0414.10033

Cijsouw, P.L. and Tijdeman, R.: On the transcendence of certain power series of algebraic numbers. Acta Arith. 23 (1973) 301-305. | MR 318070 | Zbl 0255.10038

Evertse, J.-H.: On sums of S-units and linear recurrences. Compositio Math. 53 (1984) 225-244. | Numdam | MR 766298 | Zbl 0547.10008

Nishioka, K.: Algebraic independence of certain power series of algebraic numbers. J. Number Theory, to appear. | MR 846965 | Zbl 0589.10035

Nishioka, K.: Algebraic independence of three Liouville numbers. Arch. Math., to appear. | Zbl 0596.10036

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 853872 | Zbl 0618.10032