Abstract
Let ω1,...,ω m be algebraically independent complex numbers. If a function ϕ(H,s) satisfies
for any nonzero polyomial P ∈ Z[x 1,...,x m] with |P| ≤ H, deg
P≤s, then ϕ(H, s) is called an algebraic independence measure of ω1,...,ωm. Let
Chapter’s author : Kumiko NISHIOKA
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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Measures of algebraic independence for Mahler functions. In: Nesterenko, Y.V., Philippon, P. (eds) Introduction to Algebraic Independence Theory. Lecture Notes in Mathematics, vol 1752. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44550-1_12
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DOI: https://doi.org/10.1007/3-540-44550-1_12
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41496-4
Online ISBN: 978-3-540-44550-0
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