ABEL ARITHMETIC FUNCTIONS IN FINITE CHARACTERISTIC

被引：0

作者：

Adam, David ^{[1
]}

机构：

[1] Univ Polynesie Francaise, Faaa 98713, Tahiti, France

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2012年 / 8卷 / 06期

关键词：

Abel arithmetic functions; Carlitz module; THEOREM; POLYA;

D O I：

10.1142/S1793042112500959

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define Abel arithmetic functions in function fields with positive characteristic. We prove that any Abel arithmetic function with exponential type lesser than 1/e ln q is a polynomial, the bound 1/e ln q being optimal. This provides an analog of a Bertrandias' result. Some q-analogs are considered too.

引用

页码：1557 / 1568

页数：12

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