Exponential functions in prime characteristic

被引：5
作者：
Mattarei S. [1 ]
机构：
[1] Dipartimento di Matematica, Universitá degli Studi di Trento, I-38050 Povo (Trento)
来源：
aequationes mathematicae | 2006年 / 71卷 / 3期
关键词：
Artin-Hasse exponential; Exponential series; Functional equation;
D O I：
10.1007/s00010-005-2816-4
中图分类号：
学科分类号：
摘要：
In this note we determine all power series F(X) ∈ 1 + X double-struck F sign p[[X]] such that (F(X + Y))-1 F(X)F(Y) has only terms of total degree a multiple of p. Up to a scalar factor they are all the series of the form F(X) = E p (cX)• G(X p ) for some c ∈ double-struck F sign p and G(X) ∈ 1 + X double-struck F sign p[[X]] where Ep(X)= exp (∑i=0 ∞ Xp i/pi) is the Artin-Hasse exponential. © Birkhäuser Verlag, Basel, 2006.
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页码：311 / 317
页数：6
相关论文
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