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Sur les fonctions entièresq-arithmétiques

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Abstract

Letq ɛ Z, |q|>1. In this paper, we study entire functions of a complex variable such thatf(q n+m)≡f(qn) (modq m-1), ∀n ɛ N andm>0. We prove that iff is of sufficiently small growth, then it is a polynomial.

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Authors and Affiliations

  1. Esplanade de la Paix, Université de Caen. Mathématiques, 14032, Caen Cedex, France

    Jean-paul Bézivin

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  1. Jean-paul Bézivin
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Bézivin, Jp. Sur les fonctions entièresq-arithmétiques. Rend. Circ. Mat. Palermo 47, 447–462 (1998). https://doi.org/10.1007/BF02851391

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  • DOI: https://doi.org/10.1007/BF02851391

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