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Diophantine Approximation on Linear Algebraic Groups : Transcendence Properti...

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Diophantine Approximation on Linear Algebraic Groups : Transcendence Properties of the Exponential Function in Several Variables, Hardcover by Waldschmidt, Michel, ISBN 3540667857, ISBN-13 9783540667858, Like New Used, Free shipping in the US 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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