On a parametric family of Thue inequalities over function fields

Fuchs, Clemens; Jadrijević, Borka

doi:10.1017/s0305004107000217

Math. Proc. Camb. Phil. Soc.

2007

DOI: 10.1017/s0305004107000217

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On a parametric family of Thue inequalities over function fields

Clemens Fuchs

Borka Jadrijević

Abstract: Abstract. In this paper we completely solve a family of Thue inequalities defined over the field of functions C(T ), namelywhere the solutions x, y come from the ring C [T ] and the parameter c ∈ C [T ] is some non-constant polynomial.

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Cited by 2 publications

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30 years of collaboration

Fuchs

Hajdu

2016

Period Math Hung

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Abstract. We highlight some of the most important cornerstones of the long standing and very fruitful collaboration of the Austrian Diophantine Number Theory research group and the Number Theory and Cryptography School of Debrecen. However, we do not plan to be complete in any sense but give some interesting data and selected results that we find particularly nice. At the end we focus on two topics in more details, namely a problem that origins from a conjecture of Rényi and Erdős (on the number of terms of the square of a polynomial) and another one that origins from a question of Zelinsky (on the unit sum number problem), which will be presented in turn.

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30 years of collaboration

Fuchs

Hajdu

2016

Period Math Hung

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On Thue Equations of Splitting Type over Function Fields

Ziegler¹

2010

Rocky Mountain J. Math.

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On a parametric family of Thue inequalities over function fields

Abstract: Abstract. In this paper we completely solve a family of Thue inequalities defined over the field of functions C(T ), namelywhere the solutions x, y come from the ring C [T ] and the parameter c ∈ C [T ] is some non-constant polynomial.

Cited by 2 publications

References 25 publications

30 years of collaboration

30 years of collaboration

On Thue Equations of Splitting Type over Function Fields

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