Algebraic independence of the values of power series generated by linear recurrences

Taka-Aki Tanaka

Acta Arithmetica (1996)

  • Volume: 74, Issue: 2, page 177-190
  • ISSN: 0065-1036

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Taka-Aki Tanaka. "Algebraic independence of the values of power series generated by linear recurrences." Acta Arithmetica 74.2 (1996): 177-190. <http://eudml.org/doc/206845>.

@article{Taka1996,
author = {Taka-Aki Tanaka},
journal = {Acta Arithmetica},
keywords = {algebraic independence of the values of power series; linear recurrences},
language = {eng},
number = {2},
pages = {177-190},
title = {Algebraic independence of the values of power series generated by linear recurrences},
url = {http://eudml.org/doc/206845},
volume = {74},
year = {1996},
}

TY - JOUR
AU - Taka-Aki Tanaka
TI - Algebraic independence of the values of power series generated by linear recurrences
JO - Acta Arithmetica
PY - 1996
VL - 74
IS - 2
SP - 177
EP - 190
LA - eng
KW - algebraic independence of the values of power series; linear recurrences
UR - http://eudml.org/doc/206845
ER -

References

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  1. [1] J. W. S. Cassels, Local Fields, Cambridge University Press, 1986. 
  2. [2] F. R. Gantmacher, Applications of the Theory of Matrices, Vol. II, Interscience, New York, 1959. 
  3. [3] J. H. Loxton and A. J. van der Poorten, Algebraic independence properties of the Fredholm series, J. Austral. Math. Soc. Ser. A 26 (1978), 31-45. Zbl0392.10034
  4. [4] K. Mahler, Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Ann. 101 (1929), 342-366. Zbl55.0115.01
  5. [5] D. W. Masser, A vanishing theorem for power series, Invent. Math. 67 (1982), 275-296. Zbl0481.10034
  6. [6] K. Nishioka, Conditions for algebraic independence of certain power series of algebraic numbers, Compositio Math. 62 (1987), 53-61. Zbl0615.10042
  7. [7] K. Nishioka, Algebraic independence of Mahler functions and their values, Tôhoku Math. J., to appear. Zbl0852.11036

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