Relations with Conjugate Numbers Over a Finite Field

被引：0
|
作者：
A. Dubickas
机构：
[1] Vilnius University,
来源：
Lithuanian Mathematical Journal | 2003年 / 43卷 / 2期
关键词：
finite field; conjugate numbers; linear forms; Hilbert's Theorem 90; cyclic extension;
D O I：
10.1023/A:1024215022506
中图分类号：
学科分类号：
摘要：
Given a finite field K, we prove that every algebraic number over K can be expressed by both linear and multiplicative forms in conjugates over K of another algebraic number. Furthermore, it is shown that every linear form over K in conjugates vanishes for some nonzero algebraic number. A multiplicative analogue of this result is also obtained.
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页码：172 / 175
页数：3
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