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Download E-books Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables PDF

By Michel Waldschmidt

The idea of transcendental numbers is heavily with regards to the research of diophantine approximation. This booklet bargains with values of the standard exponential functionality ez: a important open challenge is the conjecture on algebraic independence of logarithms of algebraic numbers. chapters supply whole and simplified proofs of 0 estimates (due to Philippon) on linear algebraic groups.

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