EUDML | Linear forms on arithmetic abelian varieties: ineffective bounds

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Displaying similar documents to “Linear forms on arithmetic abelian varieties: ineffective bounds”

Linear forms on abelian varieties over local fields

Daniel Bertrand, Yuval Flicker (1980)

Acta Arithmetica

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Local heights on Abelian varieties and rigid analytic uniformization.

Werner, Annette (1998)

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How to explicitly solve a Thue-Mahler equation

N. Tzanakis, B. M. M. de Weger (1992)

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The polynomial $x^{3} + x^{2} + x - 1$ and elliptic curves of conductor 11

Alfred J. Van der Poorten (1976-1977)

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p-Adic Height Pairings I.

Peter Schneider (1982)

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p-adic height pairings. II.

Peter Schneider (1985)

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Computing the lower bound for linear forms in logarithms

Alfred J. Van der Poorten (1975-1976)

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On $p$ -adic $L$ -functions

John Coates (1988-1989)

Séminaire Bourbaki

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Differential characters of abelian varieties over p-adic fields.

Alexandru Buium (1995)

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$S$ -integral solutions to a Weierstrass equation

Benjamin M. M. de Weger (1997)

Journal de théorie des nombres de Bordeaux

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The rational solutions with as denominators powers of $2$ to the elliptic diophantine equation $y^{2} = x^{3} - 228 x + 848$ are determined. An idea of Yuri Bilu is applied, which avoids Thue and Thue-Mahler equations, and deduces four-term ( $S$ -) unit equations with special properties, that are solved by linear forms in real and $p$ -adic logarithms.