The quantitative subspace theorem for number fields
Hans Peter Schlickewei (1992)
Compositio Mathematica
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Hans Peter Schlickewei (1992)
Compositio Mathematica
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Michael Nakamaye (1999)
Journal de théorie des nombres de Bordeaux
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We present an overview of recent advances in diophantine approximation. Beginning with Roth's theorem, we discuss the Mordell conjecture and then pass on to recent higher dimensional results due to Faltings-Wustholz and to Faltings respectively.
Jan-Hendrik Evertse (1996)
Compositio Mathematica
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Gerhard Larcher (1993)
Acta Arithmetica
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S. Raghavan, K. Ramanathan (1972)
Acta Arithmetica
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Vladimir Kozlov, Vladimir Maz'ya (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We derive an asymptotic formula of a new type for variational solutions of the Dirichlet problem for elliptic equations of arbitrary order. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.
M. Takeuchi (1984)
Acta Arithmetica
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Alan Adolphson, Steven Sperber (1988)
Compositio Mathematica
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