6 citations · 33 across the 18 of their papers we have counts for
4 papers · 1 filter
On the Diophantine equation
Sebastian Heintze, Robert F. Tichy, Ingrid Vukusic +1
Let be a fixed linear recurrence sequence defined over the integers (with some technical restrictions). We prove that there exist effectively computable c…
On the size of a linear combination of two linear recurrence sequences over function fields
Sebastian Heintze
Let and be two non-degenerate linear recurrence sequences defined over a function field in one variable over , and let be a valuation on $…
On the growth of multi-recurrences
Clemens Fuchs, Sebastian Heintze
In this paper we provide a complete proof for a bound on the growth of multi-recurrences which are defined over a number field. The proven bound was already stated by van der Poort…
Pillai's conjecture for polynomials
Sebastian Heintze
In this paper we study the polynomial version of Pillai's conjecture on the exponential Diophantine equation \begin{equation*} p^n - q^m = f. \end{equation*} We prove that for any…