Reconsidering a functional equation arising from number theory

被引：5
|
作者：
Ebanks, Bruce [1 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2015年 / 86卷 / 1-2期
关键词：
multiplicative map; matrix group; matrix semigroup; functional equation; semigroup morphism;
D O I：
10.5486/PMD.2015.7041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a recent paper Chavez and Sahoo considered the functional equation f (ux - vy, uy v(x + y)) = f(x,y)f(u,v), which arose in a number theoretical context. Unfortunately one of their results is incorrect. Here we reconsider the equation on various domains. We observe that it is in fact a multiplicative Cauchy equation in disguise. We also point out some remaining open problems.
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页码：135 / 147
页数：13
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