Diophantine Approximation on Linear Algebraic Groups
Transcendence Properties of the Exponential Function in Several Variables
Gebonden Engels 2000 2000e druk 9783540667858Samenvatting
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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