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Algebraic independence of power series generated by linearly independent positive numbers

โœ Scribed by Taka-aki Tanaka


Book ID
120766415
Publisher
Springer
Year
2004
Tongue
English
Weight
1017 KB
Volume
46
Category
Article
ISSN
1422-6383

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Algebraic Independence of the Power Seri
โœ Yoshihisa Uchida ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 128 KB

Let q 2 be an integer and let w be a block of 0, ..., q&1 of finite length. For a nonnegative integer n, let e(w; n) denote the number of occurrences of w in the q-adic expansion of n. Define f (w; z)= n 0 e(w; n) z n . We give necessary and sufficient conditions for the algebraic independence of fu