Contact
How to shop
Delivery
Shopping guide
Diophantine Approximation on Linear Algebraic Groups
Transcendence Properties of the Exponential Function in Several Variables
English
280 b
Up to 30 days for returns
Customers also purchased
/
Game
19.10
€
/
Paperback
31.46
€
/
Paperback
21.31
€
/
Paperback
33.78
€
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.
About the book
English
Give this book today
It's easy
1 Add to cart and choose Deliver as present at the checkout 2 We'll send you a voucher 3 The book will arrive at the recipient's addressYou might also be interested in
Hi! I'm Libroamiko, your book advisor.
How can I help you?