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Norm residue Symbol in local number Fields

โœ Scribed by Bernard Dwork

Book ID
112946846
Publisher
Vandenhoeck & Ruprecht
Year
1958
Tongue
German
Weight
550 KB
Volume
22
Category
Article
ISSN
0025-5858

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๐Ÿ“œ SIMILAR VOLUMES

An explicit local norm residue symbol
An explicit local norm residue symbol
โœ L Geissinger; W Graves ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 513 KB
Local and Global Residue Symbols for Alg
Local and Global Residue Symbols for Algebraic Functions Fields
โœ F. Schultheis ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

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