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

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

Part of the Grundlehren der mathematischen Wissenschaften series

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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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