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The concept of transcendental numbers is heavily relating to the research of diophantine approximation. This publication offers with values of the standard exponential functionality ez: a principal open challenge is the conjecture on algebraic independence of logarithms of algebraic numbers. chapters supply entire and simplified proofs of 0 estimates (due to Philippon) on linear algebraic groups.
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Extra resources for Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables (Grundlehren der mathematischen Wissenschaften)
Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables (Grundlehren der mathematischen Wissenschaften) by Michel Waldschmidt