Christoph Hutle

activity

20152017

collaborators

3 papers

math.NT2017

Diophantine triples in linear recurrence sequences of Pisot type

Clemens Fuchs, Christoph Hutle, Florian Luca

The study of Diophantine triples taking values in linear recurrence sequences is a variant of a problem going back to Diophantus of Alexandria which has been studied quite a lot in…

math.NT2016

Diophantine triples with values in $k$ -generalized Fibonacci sequences

Clemens Fuchs, Christoph Hutle, Florian Luca +1

We show that if $k \geq 2$ is an integer and $(F_{n}^{(k)})_{n \geq 0}$ is the sequence of $k$ -generalized Fibonacci numbers, then there are only finitely many triples of positive intege…

math.NT2015

Only finitely many Tribonacci Diophantine triples exist

Clemens Fuchs, Christoph Hutle, Nurettin Irmak +2

Diophantine triples taking values in recurrence sequences have recently been studied quite a lot. In particular the question was raised whether or not there are finitely many Dioph…

Diophantine triples in linear recurrence sequences of Pisot type

Diophantine triples with values in k-generalized Fibonacci sequences

Only finitely many Tribonacci Diophantine triples exist

Diophantine triples with values in $k$ -generalized Fibonacci sequences