An Axiomatization of Nesterenko′s Method and Applications On Mahler Functions

Autor:	T. Topfer
Rok vydání:	1994
Předmět:	Discrete mathematics Algebra and Number Theory Mathematics::Number Theory Transcendental number Algebraic independence Algebraic number Upper and lower bounds Mathematics
Zdroj:	Journal of Number Theory. 49(1):1-26
ISSN:	0022-314X
DOI:	10.1006/jnth.1994.1077
Popis:	Using Nesterenko′s method we prove a criterion for algebraic independence, which gives a lower bound for the number of algebraically independent quantities among the values of Mahler functions, where the arguments are algebraic points in C n, transcendental points in C , or well approximable Liouville points in R .
Databáze:	OpenAIRE
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