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Formal Power Series and Some Theorems of J. F. Rittin Arbitrary Characteristic

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Abstract.

 We study composition of power series and polynomials over algebraically closed fields of arbitrary characteristic. The so-called Boettcher function of a power series is introduced and investigated. It is the principal aim of this paper to prove some results going back to J. F. Ritt in this general setting. In particular, we determine the pairs of permutable polynomials and characterize polynomials which satisfy a certain rational functional equation and polynomials which have a common iterate.

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Authors and Affiliations

  1. Technical University of Vienna, Austria, , , , , , AT

    Gerhard Dorfer & Harald Woracek

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  1. Gerhard Dorfer
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  2. Harald Woracek
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Received 12 February 1998; in revised form 20 April 1998

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Dorfer, G., Woracek, H. Formal Power Series and Some Theorems of J. F. Rittin Arbitrary Characteristic. Mh Math 127, 277–293 (1999). https://doi.org/10.1007/s006050050040

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  • DOI: https://doi.org/10.1007/s006050050040

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