Diophantine Approximation Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000 /

• Main Authors: Masser, David (Author, http://id.loc.gov/vocabulary/relators/aut), Nesterenko, Yuri V. (http://id.loc.gov/vocabulary/relators/aut), Schlickewei, Hans Peter (http://id.loc.gov/vocabulary/relators/aut), Schmidt, Wolfgang M. (http://id.loc.gov/vocabulary/relators/aut), Waldschmidt, Michel (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Amoroso, Francesco (Editor, http://id.loc.gov/vocabulary/relators/edt), Zannier, Umberto (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: C.I.M.E. Foundation Subseries ; 1819
• Subjects: Number theory.; Number Theory.

Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing"best"rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell's equation and the pioneering work of Thue on the rational approximations to algebraic numbers of d...

Table of Contents:

• Heights, Transcendence, and Linear Independence on Commutative Group Varieties
• Linear Forms in Logarithms of Rational Numbers
• Approximation of Algebraic Numbers
• Linear Recurrence Sequences
• Linear Independence Measures for Logarithms of Algebraic Numbers.