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Algebraic Independence by Approximation Method (II)
Acta Mathematica Sinica, English Series, 2000Summary: Let \(f(x)\) be a continued fraction with elements \(a_nx\), where the coefficients \(a_n\) are positive algebraic numbers. Using the criterion of Part I [Acta Math. Sin., New Ser. 14, 295-302 (1998; Zbl 0920.11047)] for any nonzero real algebraic numbers \(\alpha_1,\dots,\alpha_s\) with distinct absolute values the algebraic independence of ...
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Parameterized Telescoping Proves Algebraic Independence of Sums
Annals of Combinatorics, 2011Carsten Schneider
exaly
On the Algebraic Independence of the Values of Functions Associated with Hypergeometric Functions
Axioms, 2023exaly

