On the Arithmetic Properties of G-Functions

Guangshan Xu
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Guangshan Xu: Academia Sinica, Institute of Mathematics

A chapter in International Symposium in Memory of Hua Loo Keng, 1991, pp 331-346 from Springer

Abstract: Abstract In his fundamental paper in 1929 Siegel[5] developed a method for studying the arithmetic properties of the values of certain classes of analytic functions known as E-and G- functions. He proved the algebraic independence of the values of certain E-functions at algebraic points, and also pointed out that his method could be use to investigate G- functions.

Keywords: Linear Differential Equation; Algebraic Function; Arithmetic Property; Algebraic Point; Algebraic Number Field (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-3-662-07981-2_20

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