# Conditions for algebraic independence of certain power series of algebraic numbers

Compositio Mathematica (1987)

- Volume: 62, Issue: 1, page 53-61
- ISSN: 0010-437X

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topNishioka, Kumiko. "Conditions for algebraic independence of certain power series of algebraic numbers." Compositio Mathematica 62.1 (1987): 53-61. <http://eudml.org/doc/89835>.

@article{Nishioka1987,

author = {Nishioka, Kumiko},

journal = {Compositio Mathematica},

keywords = {transcendence; algebraic independence; power series; growth condition; algebraic numbers; p-adic version},

language = {eng},

number = {1},

pages = {53-61},

publisher = {Martinus Nijhoff Publishers},

title = {Conditions for algebraic independence of certain power series of algebraic numbers},

url = {http://eudml.org/doc/89835},

volume = {62},

year = {1987},

}

TY - JOUR

AU - Nishioka, Kumiko

TI - Conditions for algebraic independence of certain power series of algebraic numbers

JO - Compositio Mathematica

PY - 1987

PB - Martinus Nijhoff Publishers

VL - 62

IS - 1

SP - 53

EP - 61

LA - eng

KW - transcendence; algebraic independence; power series; growth condition; algebraic numbers; p-adic version

UR - http://eudml.org/doc/89835

ER -

## References

top- Bundschuh, P. and Wylegala, F.-J.: Über algebraische Unabhängigkeit bei gewissen nichtfortsetzbaren Potenzreihen. Arch. Math.34 (1980) 32-36. Zbl0414.10033MR575546
- Cijsouw, P.L. and Tijdeman, R.: On the transcendence of certain power series of algebraic numbers. Acta Arith.23 (1973) 301-305. Zbl0255.10038MR318070
- Evertse, J.-H.: On sums of S-units and linear recurrences. Compositio Math.53 (1984) 225-244. Zbl0547.10008MR766298
- Nishioka, K.: Algebraic independence of certain power series of algebraic numbers. J. Number Theory, to appear. Zbl0589.10035MR846965
- Nishioka, K.: Algebraic independence of three Liouville numbers. Arch. Math., to appear. Zbl0596.10036
- Nishioka, K.: Proof of Masser's conjecture on the algebraic independence of values of Liouville series. Proc. Japan Acad. Ser.A62 (1986) 219-222. Zbl0618.10032MR853872

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