. . "Lineare algebraische Gruppe Diophantische Approximation." . . "Algebraische Gruppe Diophantische Approximation." . . "Groupes linéaires algébriques." . . "Groupes lineaires algebriques." . "Transzendente Zahl." . . "Transzendente Zahl" . "Aproximació, Teoria de l'" . . "Groupe linéaire algébrique." . . "Mathematics." . . "Diophantische Approximation Algebraische Gruppe." . . "Groupes algébriques linéaires ." . . "Groupes algébriques linéaires." . "Teoria de l'aproximació" . . "Teoria de l'aproximació." . "Number theory." . . "Aproximación diofántica." . . "Lineare algebraische Gruppe." . . "Lineare algebraische Gruppe" . "Approximation diophantienne." . . "Diofantische benadering." . . "Grups algèbrics lineals." . . . . . . . "Diophantine approximation on linear algebraic groups transcendence properties of the exponential function in several variables" . . . . . . . . . . . . . . "Diophantine approximation on linear algebraic groups : transcedence properties of the exponential function in several variables" . . . . . . . . . . . . . . "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"@en . . "Electronic books" . . . . . . . . . . . "The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function e^z. A central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. This book includes proofs of the main basic results (theorems of Hermite-Lindemann, Gelfond-Schneider, 6 exponentials theorem), an introduction to height functions with a discussion of Lehmer's problem, several proofs of Baker's theorem as well as explicit measures of linear independence of logarithms. An original feature is that proofs make systematic use of Laurent's interpolation determinants. The most general result is the so-called Theorem of the Linear Subgroup, an effective version of which is also included. It yields new results of simultaneous approximation and of algebraic independence. 2 chapters written by D. Roy provide complete and at the same time simplified proofs of zero estimates (due to P. Philippon) on linear algebraic groups." . "Diophantine Approximation on Linear Algebraic Groups Transcendence Properties of the Exponential Function in Several Variables" . . . . . . . . . . . . "Exponentialfunktion." . . "Exponentialfunktion" . "Diophantische Approximation." . . "Diophantische Approximation" . "Grups algebraics lineals." . . "Anàlisi diofàntica." . . "Geometry, Algebraic." . . "Group theory." . . "Lineaire algebra." . .