Abstract
We define $q$-linear arithmetical functions and $-q$-linear ones and show the algebraic independence over $\mathbb{C}(z)$ of their generating functions.
Citation
Takeshi KUROSAWA. Iekata SHIOKAWA. "$q$-linear Functions and Algebraic Independence." Tokyo J. Math. 25 (2) 459 - 472, December 2002. https://doi.org/10.3836/tjm/1244208865
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