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Mahler functions and transcendence

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 fiel...

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Detalles Bibliográficos
Autor principal: Nishioka, Kumiko
Lenguaje:eng
Publicado: Springer 1996
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0093672
http://cds.cern.ch/record/1691648
Descripción
Sumario: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.