Mahler Functions and Transcendence

Kumiko Nishioka (Autor)

Buch | Softcover

IX, 191 Seiten

1996 | 1996
Springer Berlin (Verlag)
978-3-540-61472-2 (ISBN)

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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.

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.

Erscheint lt. Verlag	13.9.1996
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	IX, 191 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	296 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Algebra • algebraic independence • functional equation • Mahler function • Mahler-Funktionen • Ring Theory • transcendental number • Transzendenz
ISBN-10	3-540-61472-9 / 3540614729
ISBN-13	978-3-540-61472-2 / 9783540614722
Zustand	Neuware