On a family of Thue equations of degree 16

Ziegler, Volker

doi:10.1090/s0025-5718-10-02354-9

Math. Comp.

2010

DOI: 10.1090/s0025-5718-10-02354-9

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On a family of Thue equations of degree 16

Volker Ziegler

Abstract: Abstract. We consider a parameterized family of Thue equations of degree 16. By reducing this family to a system of Pell equations and linear relations, we are able to solve this family.

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2016

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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 a family of Thue equations of degree 16

Abstract: Abstract. We consider a parameterized family of Thue equations of degree 16. By reducing this family to a system of Pell equations and linear relations, we are able to solve this family.

Cited by 1 publication

References 25 publications

30 years of collaboration

30 years of collaboration

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