Diophantine Approximation on Linear Algebraic Groups

Name: Diophantine Approximation on Linear Algebraic Groups
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540667858
Price: 581.45 RON
Availability: InStock

Transcendence Properties of the Exponential Function in Several Variables

Autor: Michel Waldschmidt

Limbă:

Legare: Copertă tare

Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Disponibilitate: În depozitul extern în cantități mici

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581.45 lei

The theory of transcendental numbers is closely related to the study of diophantine approximation. T...

Informații despre carte

Autor

Michel Waldschmidt

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2000

Pagini

633

EAN

9783540667858

ISBN

3540667857

Enbook ID

05275058

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

2440

Dimensiuni

155 x 235 x 40

Descriere completă

The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. It includes proofs of the main basic results (theorems of Hermite-Lindemann, Gelfond-Schneider, 6 exponentials theorem), an introduction to height functions and Lehmer's problem, several proofs of Baker's theorem as well as explicit measures of linear independence of logarithms. An original feature is the systematic use, in proofs, of Laurent's interpolation determinants. The most general result is the so-called Theorem of the Linear Subgroup, an effective version of which is also included. It yields new results of simultaneous approximation and of algebraic independence. Two chapters written by D. Roy provide complete and at the same time simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.

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Diophantine Approximation on Linear Algebraic Groups

Transcendence Properties of the Exponential Function in Several Variables

Informații despre carte

Descriere completă

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