作者：David Adam 来源：[J].Journal de théorie des nombres de Bordeaux, 2019, Vol.31 (1), pp.161-177CEDRAM 摘要：Let $q$ be an integer such that $|q|\ge 2$ and $s$ be a positive integer. In this article, we show that an entire function $f$ such that $\varlimsup _{r\rightarrow +\infty }\frac{\ln |f|_r}{\ln ^3r}<\frac{4s}{27\ln ^2|q|}$ and taking Gaussian integer values on $\lbrace q^m+i...  作者：David Adam 来源：[J].Journal de théorie des nombres de Bordeaux, 2010, Vol.22 (2), pp.271-286CEDRAM 摘要：Integer valued functions and Carlitz module  作者：David Adam , Youssef Fares 来源：[J].Actes des rencontres du CIRM, 2010, Vol.2 (2), pp.81-85CEDRAM 摘要：Let$K$be a local field,$a \in K$and$\varphi :x\rightarrow x^p +a$where$p$denotes the characteristic of the residue field. We prove that the minimal subsets of the dynamical system$(K,\varphi )\$ are cycles and describe the cycles of this system.
 作者：David Adam , Paul-Jean Cahen 来源：[J].Actes des rencontres du CIRM, 2010, Vol.2 (2), pp.15-20CEDRAM 摘要：We give the maximal length of a Newton or a Schinzel sequence in a quadratic extension of a global field. In the case of a number field, the maximal length of a Schinzel sequence is 1, except in seven particular cases, and the Newton sequences are also finite, except for at most ...