Elliptic Units and Class Fields of Global Function Fields

Canadian Mathematical Bulletin ◽

10.4153/cmb-1997-046-8 ◽

1997 ◽

Vol 40 (4) ◽

pp. 385-394

Author(s):

Sunghan Bae ◽

Pyung-Lyun Kang

Keyword(s):

Class Number ◽

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Class Fields ◽

AbstractElliptic units of global function fields were first studied by D. Hayes in the case that deg ∞ is assumed to be 1, and he obtained some class number formulas using elliptic units. We generalize Hayes’ results to the case that deg ∞ is arbitrary.

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Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places

Acta Arithmetica ◽

10.4064/aa-79-1-59-76 ◽

1997 ◽

Vol 79 (1) ◽

pp. 59-76 ◽

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places ◽

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The χ-part of the Analytic Class Number Formula, for Global Function Fields

Bulletin of the Polish Academy of Sciences Mathematics ◽

10.4064/ba60-2-2 ◽

2012 ◽

Vol 60 (2) ◽

pp. 113-122

Author(s):

Stéphane Viguié

Keyword(s):

Class Number ◽

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Class Number Formula ◽

Number Formula ◽

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Class Number Formulas Over Global Function Fields

Journal of Number Theory ◽

10.1006/jnth.1994.1059 ◽

1994 ◽

Vol 48 (2) ◽

pp. 133-161 ◽

Author(s):

L.S. Shu

Keyword(s):

Class Number ◽

Function Fields ◽

Global Function ◽

Global Function Fields

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The class number of hereditary orders in non-Eichler algebras over global function fields

Mathematische Annalen ◽

10.1007/bf01460041 ◽

1988 ◽

Vol 282 (3) ◽

pp. 379-393 ◽

Author(s):

Marleen Denert ◽

Jan Van Geel

Keyword(s):

Class Number ◽

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Hereditary Orders

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Quantum modular invariant and Hilbert class fields of real quadratic global function fields

Selecta Mathematica ◽

10.1007/s00029-021-00619-4 ◽

2021 ◽

Vol 27 (1) ◽

Author(s):

L. Demangos ◽

T. M. Gendron

Keyword(s):

Function Fields ◽

Modular Invariant ◽

Global Function ◽

Global Function Fields ◽

Class Fields ◽

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Class Number Growth of a Family of Zp-Extensions over Global Function Fields

Journal of Algebra ◽

10.1006/jabr.1997.7233 ◽

1998 ◽

Vol 200 (1) ◽

pp. 141-154

Author(s):

Chaoqun Li ◽

Jianqiang Zhao

Keyword(s):

Class Number ◽

Function Fields ◽

Global Function ◽

Global Function Fields

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On the refined class number formula for global function fields

Mathematical Research Letters ◽

10.4310/mrl.2004.v11.n5.a3 ◽

2004 ◽

Vol 11 (5) ◽

pp. 583-587 ◽

Author(s):

Joongul Lee

Keyword(s):

Class Number ◽

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Class Number Formula ◽

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Groups of Elliptic Units in Global Function Fields

The Arithmetic of Function Fields ◽

10.1515/9783110886153.87 ◽

1992 ◽

Author(s):

H. Oukhaba

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

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Ray class fields of global function fields with many rational places

Acta Arithmetica ◽

10.4064/aa-95-2-97-122 ◽

2000 ◽

Vol 95 (2) ◽

pp. 97-122 ◽

Author(s):

Roland Auer

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places ◽

Class Fields ◽

Ray Class Fields

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Fitting ideals of ℓ-adic realizations of Picard 1-motives and class groups of global function fields

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle.2012.003 ◽

2013 ◽

Vol 2013 (675) ◽

Author(s):

Cornelius Greither ◽

Cristian D. Popescu

Keyword(s):

Function Fields ◽

Class Groups ◽

Global Function ◽

Global Function Fields

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