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Sur les fonctions entieres arithmetiques au sens d'Abel

On entire arithmetic functions in Abel's sense

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Abstract

In this paper we study entire function of one complexe variable such thatf (k) (q k) belongs to the rational integers for allk, whereq is a given rational integer. We show that iff is of sufficiently slow growth, thenf is a polynomial.

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

    Jean-Paul Bézivin

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  1. Jean-Paul Bézivin
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Bézivin, JP. Sur les fonctions entieres arithmetiques au sens d'Abel. Monatshefte für Mathematik 113, 89–98 (1992). https://doi.org/10.1007/BF01303060

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  • DOI: https://doi.org/10.1007/BF01303060

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