Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables

Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables

Author
Michel Waldschmidt
Publisher
Springer
Language
English
Edition
Softcover reprint of hardcover 1st ed. 2000
Year
2000
Page
633
ISBN
364208608X,978-3-642-08608-3,978-3-662-11569-5,15-1968-204-2,10-1970-267-2,10-1969-197-2
File Type
djvu
File Size
5.2 MiB

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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