Gauss' lemma over function fields

Yoshinori Hamahata

doi:10.7169/facm/1606

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Home > Journals > Funct. Approx. Comment. Math. > Volume 56 > Issue 2 > Article

June 2017 Gauss' lemma over function fields

Yoshinori Hamahata

Funct. Approx. Comment. Math. 56(2): 211-216 (June 2017). DOI: 10.7169/facm/1606

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Abstract

We generalize the function field analog of Gauss' lemma for the application of power residue symbols. We then provide another proof of the general reciprocity law for power residue symbols.

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Yoshinori Hamahata. "Gauss' lemma over function fields." Funct. Approx. Comment. Math. 56 (2) 211 - 216, June 2017. https://doi.org/10.7169/facm/1606

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Published: June 2017

First available in Project Euclid: 27 January 2017

zbMATH: 06864155

MathSciNet: MR3660960

Digital Object Identifier: 10.7169/facm/1606

Subjects:

Primary: 11T55

Secondary: 11A15 , 11G09

Keywords: function fields , power residues , reciprocity law

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Funct. Approx. Comment. Math.

Vol.56 • No. 2 • June 2017

Adam Mickiewicz University, Faculty of Mathematics and Computer Science

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Yoshinori Hamahata "Gauss' lemma over function fields," Functiones et Approximatio Commentarii Mathematici, Funct. Approx. Comment. Math. 56(2), 211-216, (June 2017)

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