Diophantine equations over global function fields IV: S-unit equations in several variables with an application to norm form equations

Journal of Number Theory ◽

10.1016/j.jnt.2008.06.014 ◽

2010 ◽

Vol 130 (3) ◽

pp. 493-506 ◽

Author(s):

István Gaál ◽

Michael Pohst

Keyword(s):

Diophantine Equations ◽

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Several Variables ◽

Norm Form ◽

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Diophantine Equations over Global Function Fields II:R-Integral Solutions of Thue Equations

Experimental Mathematics ◽

10.1080/10586458.2006.10128945 ◽

2006 ◽

Vol 15 (1) ◽

pp. 1-6 ◽

Author(s):

István Gaál ◽

Michael Pohst

Keyword(s):

Diophantine Equations ◽

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Integral Solutions

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Diophantine equations over global function fields III: An application to resultant form equations

Functiones et Approximatio Commentarii Mathematici ◽

10.7169/facm/1229696556 ◽

2008 ◽

Vol 39 (1) ◽

pp. 97-102 ◽

Author(s):

István Gaál ◽

Michael Pohst

Keyword(s):

Diophantine Equations ◽

Function Fields ◽

Global Function ◽

Global Function Fields

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Diophantine equations over global function fields I: The Thue equation

Journal of Number Theory ◽

10.1016/j.jnt.2005.10.009 ◽

2006 ◽

Vol 119 (1) ◽

pp. 49-65 ◽

Author(s):

István Gaál ◽

Michael Pohst

Keyword(s):

Diophantine Equations ◽

Function Fields ◽

Global Function ◽

Global Function 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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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

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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

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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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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

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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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On Kronecker terms over global function fields

Inventiones mathematicae ◽

10.1007/s00222-019-00944-8 ◽

2020 ◽

Vol 220 (3) ◽

pp. 847-907 ◽

Author(s):

Fu-Tsun Wei

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields

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