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q-additive functions and algebraic independence

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Abstract.

In this paper, we study the algebraic independence of the power series generated by q-additive functions, such as the powers of sum of digits function. We can get the algebraic independence of the values of these power series at an algebraic point by Nishioka's theorem.

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Authors and Affiliations

  1. Department of Mathematics, Keio University, Hiyoshi 3-14-1, Kohoku-ku, Yokohama, 223, Japan, , , , , , JP

    Takeshi Toshimitsu

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  1. Takeshi Toshimitsu
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Received: 22.3.1996

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Toshimitsu, T. q-additive functions and algebraic independence. Arch. Math. 69, 112–119 (1997). https://doi.org/10.1007/s000130050100

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  • DOI: https://doi.org/10.1007/s000130050100

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