# Linear forms in $p$-adic logarithms. III

Compositio Mathematica (1994)

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

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topYu, 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

top- [B1] A. Baker, A sharpening of the bounds for linear forms in logarithms II, Acta Arith.24 (1973) 33-36. Zbl0261.10025MR376549
- [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
- [B-V] E. Bombieri and J. Vaaler, On Siegel's lemma, Invent. math.73 (1983), 11-32. Zbl0533.10030MR707346
- [D] Dong Pingping, Minorations de combinaisons linéaires de logarithmes p-adiques de nombres algébriques, C. R. Acad. Sci. Paris315 (1992), 503-506. Zbl0774.11035MR1181280
- [L] S. Lang, Elliptic curves: Diophantine analysis, Grundl. Math. Wissensch. 231, Springer-Verlag, Berlin, 1978. Zbl0388.10001MR518817
- [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
- [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
- [Y2] Kunrui Yu, Linear forms in p-adic logarithms, Acta Arith.53 (1989), 107-186. Zbl0699.10050MR1027200
- [Y3] Kunrui Yu, Linear forms in p-adic logarithms II, Compositio Math.74 (1990), 15-113. ([Y3] = [*]). Zbl0723.11034MR1055245

## Citations in EuDML Documents

top- Kunrui Yu, p-adic logarithmic forms and group varieties II
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- Benjamin M. M. de Weger, $S$-integral solutions to a Weierstrass equation
- Yann Bugeaud, Kálmán Győry, Bounds for the solutions of unit equations

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