Sur les fonctions entièresq-arithmétiques |
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Authors: | Jean-paul Bézivin |
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Institution: | (1) Esplanade de la Paix, Université de Caen. Mathématiques, 14032 Caen Cedex, France |
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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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Keywords: | |
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