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

Download Full-text

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 ◽

Download Full-text

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.

Download Full-text

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

Download Full-text

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

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

Improved Asymptotic Bounds for Codes Using Distinguished Divisors of Global Function Fields

SIAM Journal on Discrete Mathematics ◽

10.1137/060674478 ◽

2008 ◽

Vol 21 (4) ◽

pp. 865-899 ◽

Author(s):

Harald Niederreiter ◽

Ferruh Özbudak

Keyword(s):

Function Fields ◽

Global Function ◽

Asymptotic Bounds ◽

Global Function Fields

Download Full-text

Algebraic Function Fields and Global Function Fields

Graduate Texts in Mathematics - Number Theory in Function Fields ◽

10.1007/978-1-4757-6046-0_5 ◽

2002 ◽

pp. 45-61

Author(s):

Michael Rosen

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Global Function ◽

Global Function Fields ◽

Algebraic Function Fields

Download Full-text

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 ◽

Download Full-text

Quasirandom points and global function fields

Finite Fields and Applications ◽

10.1017/cbo9780511525988.022 ◽

1996 ◽

pp. 269-296 ◽

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields

Download Full-text