3 papers
math.NT2026
On the asymptotic average diameter of blocks of uniformly distributed sequences and related results
Sebastian Heintze, Wolfgang Trutschnig
This paper was triggered by recent results on the maximal `average distance between consecutive points' of uniformly distributed sequences (u.f.d.s.). Here we address a generalized…
math.NT2025
Decidability of multiplicative matrix equations and related Diophantine problems
Sebastian Heintze, Armand Noubissie, Robert F. Tichy
Some new decidability results for multiplicative matrix equations over algebraic number fields are established. In particular, special instances of the so-called knapsack problem a…
math.NT2023
On Pillai's Problem involving Lucas sequences of the second kind
Sebastian Heintze, Volker Ziegler
In this paper we consider the Diophantine equation for given integers with , whereas varies among Lucas-Lehmer sequences of the second…