Diophantine Approximation on Linear Algebraic Groups
Waldschmidt, Michel
ISBN 10: 3540667857 ISBN 13: 9783540667858
Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2000
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Hardcover
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Series: Die Grundlehren der Mathematischen Wissenschaften. Num Pages: 656 pages, biography. BIC Classification: PBF; PBG; PBH. Category: (G) General (US: Trade); (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 36. Weight in Grams: 1103. . 2000. Hardback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9783540667858
Inhaltsangabe:
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.
Von der hinteren Coverseite: 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.
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Bibliografische Details
Titel: Diophantine Approximation on Linear ...
Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Erscheinungsdatum: 2000
Einband: Hardcover
Zustand: New
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Diophantine Approximation on Linear Algebraic Groups.
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Gebunden. Zustand: Gut. Gebraucht - Gut Verlagsmängelex., XXIII, 633 pp 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. Bestandsnummer des Verkäufers 14241
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Internationale Ausgabe
Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables
Verlag:
U.S.A.: Springer, 2000
ISBN 10: 3540667857
ISBN 13: 9783540667858
Neu
Soft cover
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Internationale Ausgabe
Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables
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Soft cover. Zustand: New. Zustand des Schutzumschlags: New. International Edition. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 633 p. Contains: Illustrations, black & white. Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover), 326. Audience: General/trade. Bestandsnummer des Verkäufers K0340001016
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Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables
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Diophantine Approximation on Linear Algebraic Groups : Transcendence Properties of the Exponential Function in Several Variables
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Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables
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Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables
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Diophantine Approximation on Linear Algebraic Groups (Hardcover)
ISBN 10: 3540667857
ISBN 13: 9783540667858
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Hardcover. Zustand: new. Hardcover. 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. It includes proofs of the main basic results (theorems of Hermite-Lindemann, Gelfond-Schneider, 6 exponentials theorem), an introduction to height functions and Lehmer's problem, several proofs of Baker's theorem as well as explicit measures of linear independence of logarithms. An original feature is the systematic use, in proofs, 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. Two chapters written by D. Roy provide complete and at the same time simplified proofs of zero estimates (due to Philippon) on linear algebraic groups. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9783540667858
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