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: 106.06 EUR
Availability: InStock

Transcendence Properties of the Exponential Function in Several Variables

Autor: Michel Waldschmidt

Jazyk:

Väzba: Pevná

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

Dostupnosť: Skladom u dodávateľa v malom množstve

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106.06 €

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

Informácie o knihe

Autor

Michel Waldschmidt

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2000

Stránok

633

EAN

9783540667858

ISBN

3540667857

Enbook ID

05275058

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnosť

2440

Rozmery

155 x 235 x 40

Kompletný popis

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

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Kompletný popis

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