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Local and global solutions of algebraic equations

✍ Scribed by M. A. Illarionov; V. Ya. Lin

Publisher
Springer US
Year
1983
Tongue
English
Weight
227 KB
Volume
16
Category
Article
ISSN
0016-2663

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If \(q\) is a power of prime \(p\), we let \(\mathrm{F}_{4}\) be a finite field with \(q\) elements, \(R=\mathrm{F}_{4}[x]\) the polynomial ring over \(\mathbb{F}_{q}\), and \(k=\mathbb{F}_{q}(x)\) the rational function field. For any polynomial \(M \in R\). Carlitz [1] defined a "cyclotomic" extens