Mahler functions and transcendence
By: Kumiko Nishioka.
Series: Lecture notes in mathematics -- 1631
Publisher: Springer
Published: 1996
Place of publication: Berlin; London
Language: eng
Number of pages: 185
Subjects: p-adic numbers.; Numerical functions.
Description: 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.