Arithmetic implications of the distribution of integral zeros of exponential polynomials

Alfred J. Van der Poorten

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1974-1975)

  • Volume: 16, Issue: 1, page 1-9

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Van der Poorten, Alfred J.. "Arithmetic implications of the distribution of integral zeros of exponential polynomials." Séminaire Delange-Pisot-Poitou. Théorie des nombres 16.1 (1974-1975): 1-9. <http://eudml.org/doc/110888>.

@article{VanderPoorten1974-1975,
author = {Van der Poorten, Alfred J.},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {eng},
number = {1},
pages = {1-9},
publisher = {Secrétariat mathématique},
title = {Arithmetic implications of the distribution of integral zeros of exponential polynomials},
url = {http://eudml.org/doc/110888},
volume = {16},
year = {1974-1975},
}

TY - JOUR
AU - Van der Poorten, Alfred J.
TI - Arithmetic implications of the distribution of integral zeros of exponential polynomials
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1974-1975
PB - Secrétariat mathématique
VL - 16
IS - 1
SP - 1
EP - 9
LA - eng
UR - http://eudml.org/doc/110888
ER -

References

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  1. [1] Baker ( A.). - A sharpening of the bounds for linear forms in logarithms, II, Acta Arithm., Warszawa, t. 24, 1973, p. 33-36. Zbl0261.10025MR376549
  2. [2] Gantmacher ( F.R.). - Applications of the theory of matrices. - New York, London, Interscience Publishers, 1959. Zbl0085.01001MR107648
  3. [3] Lech ( Christer). - A note on recurring series, Arkiv för Math., t. 2, 1953, p. 417-421. Zbl0051.27801MR56634
  4. [4] Loxton ( J.) and Poorten ( A. J. van der). - On algebraic functions satisfying a class of functional equations, Aequationes mathematicae (to appear). Zbl0339.12002
  5. [5] Loxton ( J.) and Poorten ( A. J. van der). - Arithmetic properties of certain functions in several variables, J. of number Theory (to appear). Zbl0339.10026
  6. [6] Loxton ( J.) and Poorten ( A. J. van der). - A class of hypertranscendental functions (to appear). Zbl0384.10014
  7. [7] Mahler ( Kurt). - Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Annalen, t. 101, 1929, p. 342-366. Zbl55.0115.01MR1512537JFM55.0115.01
  8. [8] Mahler ( Kurt). - Über das Verschwinden von Potenzreihen mehrerer Veränderlichen in speziellen Punktfolgen, Math. Annalen, t. 103, 1930, p. 573-587. Zbl56.0185.03MR1512638JFM56.0185.03
  9. [9] Mahler ( Kurt). - Arithmetische Eigenschaften einer Klasse transzendentaltranszendenter Funktionen, Math. Z., t. 32, 1930, p. 545-585. MR1545184JFM56.0186.01
  10. [10] Mahler ( Kurt ) . - On the Taylor coefficients of rational functions, Proc. Cambridge phil. Soc., t. 52, 1956, p. 39-48. Zbl0070.04004MR74503
  11. [11] Mahler ( Kurt). - Remarks on a paper by W. Schwartz, J. of number Theory, t. 1, 1969, p. 512-521. Zbl0184.07602MR249366
  12. [12] Skolem ( T.). - Ein Verfahren zur Behandlung gewisser exponentialer Gleichungen und diophantischer Gleichungen, Comptes rendus du 8e congrès des mathématiciens scandinaves [1934. Stockholm], p. 163-188. - Lund, Håkan Ohlssons Boktryckeri, 1935. Zbl0011.39201JFM61.1080.01
  13. [13] Waldschmidt ( M.). - Nombres transcendants. - Berlin, Heidelberg, New York, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 402). Zbl0302.10030MR360483

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