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Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables

Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 326

General MathematicsGeometry

ISBN10: 364208608X
ISBN13: 9783642086083
Publisher: Springer Nature
Published: Dec 6 2010
Pages: 633
Weight: 2.02
Height: 1.33 Width: 6.14 Depth: 9.21
Language: English

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. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.

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