Diophantine Approximation On Linear Algebraic Groups
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Diophantine Approximation on Linear Algebraic Groups
Author | : Michel Waldschmidt |
Publisher | : Springer Science & Business Media |
Total Pages | : 649 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662115697 |
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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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Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the e