Linear forms in p -adic logarithms. III

Kunrui Yu

Compositio Mathematica (1994)

  • Volume: 91, Issue: 3, page 241-276
  • ISSN: 0010-437X

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Yu, Kunrui. "Linear forms in $p$-adic logarithms. III." Compositio Mathematica 91.3 (1994): 241-276. <http://eudml.org/doc/90291>.

@article{Yu1994,
author = {Yu, Kunrui},
journal = {Compositio Mathematica},
keywords = {lower bounds; linear forms in -adic logarithms of algebraic numbers; measure of linear independence; Kummer condition; -adic analysis; applications to diophantine problems; logarithms of rational numbers},
language = {eng},
number = {3},
pages = {241-276},
publisher = {Kluwer Academic Publishers},
title = {Linear forms in $p$-adic logarithms. III},
url = {http://eudml.org/doc/90291},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Yu, Kunrui
TI - Linear forms in $p$-adic logarithms. III
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 91
IS - 3
SP - 241
EP - 276
LA - eng
KW - lower bounds; linear forms in -adic logarithms of algebraic numbers; measure of linear independence; Kummer condition; -adic analysis; applications to diophantine problems; logarithms of rational numbers
UR - http://eudml.org/doc/90291
ER -

References

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  1. [B1] A. Baker, A sharpening of the bounds for linear forms in logarithms II, Acta Arith.24 (1973) 33-36. Zbl0261.10025MR376549
  2. [B2] A. Baker, The theory of linear forms in logarithms, Transcendence theory: advances and applications, edited by A. Baker and D. W. Masser, Academic Press, London, 1977, pp. 1-27. Zbl0361.10028MR498417
  3. [B-V] E. Bombieri and J. Vaaler, On Siegel's lemma, Invent. math.73 (1983), 11-32. Zbl0533.10030MR707346
  4. [D] Dong Pingping, Minorations de combinaisons linéaires de logarithmes p-adiques de nombres algébriques, C. R. Acad. Sci. Paris315 (1992), 503-506. Zbl0774.11035MR1181280
  5. [L] S. Lang, Elliptic curves: Diophantine analysis, Grundl. Math. Wissensch. 231, Springer-Verlag, Berlin, 1978. Zbl0388.10001MR518817
  6. [V] A.J. van der Poorten, Linear forms in logarithms in the p-adic case, Transcendence theory: advances and applications, edited by A. Baker and D. W. Masser, Academic Press, London, 1977, pp. 29-57. Zbl0367.10034MR498418
  7. [Y1] Kunrui Yu, Linear forms in logarithms in the p-adic case, New advances in transcendence theory, edited by A. Baker, Cambridge University Press, Cambridge, 1988, pp. 411-434. Zbl0656.10028MR972015
  8. [Y2] Kunrui Yu, Linear forms in p-adic logarithms, Acta Arith.53 (1989), 107-186. Zbl0699.10050MR1027200
  9. [Y3] Kunrui Yu, Linear forms in p-adic logarithms II, Compositio Math.74 (1990), 15-113. ([Y3] = [*]). Zbl0723.11034MR1055245

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