TY  - GEN
AU  - Nesterenko, Yu. V.
ED  - Tata Institute of Fundamental Research.
ED  - American Mathematical Society.
TI  - Algebraic independence
SN  - 9788173199844
U1  - 512.7 23
PY  - 2009///
CY  - New Delhi
PB  - Narosa Publishing House
KW  - Algebraic independence.
N1  - Includes bibliographical references and index; 1. Lindemann-Weierstrass theorem--
2. E-functions and Shidlovskii's theorem--
3. Small transcendence degree (Exponential function)--
4. Small transcendence degree (Modular functions)--
5. Algebraic fundamentals--
6. Philippon's criterion of algebraic independence--
7. Fields of large transcendence degree--
8. Multiplicity estimates--

Bibliography--
Index

N2  - Deals with several important results and methods in transcendental number theory. This book deals with the classical result of Lindemann-Weierstrass and its applications. It also develops Siegel's theory of E-functions. It covers Shidlovskii's theorem on the algebraic independence of the values of the E-functions.
ER  -