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.
General
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