Local and Global Residue Symbols for Alg
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F. Schultheis
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Article
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1995
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Elsevier Science
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English
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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