C. Fuchs

activity

20142022

most citedDiophantine triples with values in

k

-generalized Fibonacci sequences

8 citations · 51 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 3 cited

Perfect powers in polynomial power sums

Clemens Fuchs, Sebastian Heintze

We prove that a non-degenerate simple linear recurrence sequence $(G_{n} (x))_{n = 0}^{\infty}$ of polynomials satisfying some further conditions cannot contain arbitrary large powers…

math.NT2019

Yet another $S$ -unit variant of Diophantine tuples

Clemens Fuchs, Sebastian Heintze

We show that there are only finitely many triples of integers $0 < a < b < c$ such that the product of any two of them is the value of a given polynomial with integer coefficient…

Perfect powers in polynomial power sums

Yet another S-unit variant of Diophantine tuples

Yet another $S$ -unit variant of Diophantine tuples