Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables
Mas 2013 · Grundlehren der mathematischen Wissenschaften Ibhuku elingu-326 · Springer Science & Business Media
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reportIzilinganiso nezibuyekezo aziqinisekisiwe Funda Kabanzi
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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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