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Algebraic independence of certain power series of algebraic numbers

โœ Scribed by Kumiko Nishioka

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
427 KB
Volume
23
Category
Article
ISSN
0022-314X

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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

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Algebraic independence of the numbers -(%ah . .-, sequence of integers satisfying a binary linear recurrence relation and { b h ] h ~o is a periodic sequence of algebraic numbers not identically zero, are studied.