Conditions for algebraic independence of certain power series of algebraic numbers

Kumiko Nishioka

Compositio Mathematica (1987)

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

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Nishioka, 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

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  1. Bundschuh, P. and Wylegala, F.-J.: Über algebraische Unabhängigkeit bei gewissen nichtfortsetzbaren Potenzreihen. Arch. Math.34 (1980) 32-36. Zbl0414.10033MR575546
  2. Cijsouw, P.L. and Tijdeman, R.: On the transcendence of certain power series of algebraic numbers. Acta Arith.23 (1973) 301-305. Zbl0255.10038MR318070
  3. Evertse, J.-H.: On sums of S-units and linear recurrences. Compositio Math.53 (1984) 225-244. Zbl0547.10008MR766298
  4. Nishioka, K.: Algebraic independence of certain power series of algebraic numbers. J. Number Theory, to appear. Zbl0589.10035MR846965
  5. Nishioka, K.: Algebraic independence of three Liouville numbers. Arch. Math., to appear. Zbl0596.10036
  6. 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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