The genus fields of Kummer function fields-Reference-Cited by-同舟云学术

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The genus fields of Kummer function fields

Published:2003-02 Issue:2 Volume:98 Page:221-227
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Peng Guohua

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference9 articles.

1. Class Field Theory;Artin,1967

2. Theorie der Algebraischen Funktionen Einer Veränderlichen;Dedekind;J. Reine Angew Math.,1982

3. The arithmetic of function fields 2;Goss;J. Algebra,1983

4. Basic Structures of Function Field Arithmetic;Goss,1996

5. Zur Geschlechtertheorie in quadratischen Zahlkörpern;Hasse;J. Math. Soc. Japan,1951

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Infinite families of Artin–Schreier function fields with any prescribed class group rank;Canadian Journal of Mathematics;2023-10-19

2. Genus Field and Extended Genus Field of an Elementary Abelian Extension of Global Fields;Bulletin of the Brazilian Mathematical Society, New Series;2023-03-25

3. Function field genus theory for non-Kummer extensions;Finite Fields and Their Applications;2023-01

4. Genus fields of Kummer extensions of rational function fields;Finite Fields and Their Applications;2022-01

5. Genus fields of Kummer ℓn-cyclic extensions;International Journal of Mathematics;2021-07-01

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