Gauss' lemma over function fields (Q1746222)
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scientific article; zbMATH DE number 6864155
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gauss' lemma over function fields |
scientific article; zbMATH DE number 6864155 |
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Gauss' lemma over function fields (English)
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24 April 2018
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The author begins by proving Gauss's Lemma for irreducible elements of function fields in one variable over finite fields. Then he uses the Carlitz exponential function for giving a beautiful proof of the reciprocity law analogous to the proof by Eisenstein via the sine function.
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power residues
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reciprocity law
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function fields
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