TY  - BOOK
AU  - Nishioka,Kumiko
ED  - SpringerLink (Online service)
TI  - Mahler Functions and Transcendence
T2  - Lecture Notes in Mathematics,
SN  - 9783540685982
AV  - QA241-247.5 
U1  - 512.7 23
PY  - 1996///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Number theory
KW  - Number Theory
N1  - Transcendence theory of mahler functions of one variable -- Transcendence theory of mahler functions of several variables -- Algebraic independence of mahler functions and their values -- Applications of elimination theory -- Regular sequences and mahler functions
N2  - This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, algebraic function field of one variable and rudiments of ring theory. The book is intended for both graduate students and researchers who are interested in transcendence theory. It will lay the foundations of the theory of Mahler functions and provide a source of further research
UR  - http://dx.doi.org/10.1007/BFb0093672
ER  -