ENGLISH

Introduction to Algebraic Independence Theory

By Yuri V. Nesterenko , Patrice Philippon (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2001
ISBN
9783540414964, 3540414967
DOI
10.1007/b76882
ISSN
0075-8434
Open Library ID
OL9057167M
Language
english
Format
DJVU
Filesize
2 MB (2001630 bytes)
Series
Lecture Notes in Mathematics 1752
Edition
1
Pages
260\251
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Number Theory; Algebraic Geometry

Description

In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.

Similar books