V. Ziegler

activity

20102026

most citedOn a variant of Pillai's problem

21 citations · 52 across the 30 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018★ 1 cited

On the existence of $S$ -Diophantine quadruples

Volker Ziegler

Let $S$ be a set of primes. We call an $m$ -tuple $(a_{1}, \dots, a_{m})$ of distinct, positive integers $S$ -Diophantine, if for all $i \neq = j$ the integers $s_{i, j} := a_{i} a_{j} + 1$ have only…

math.NT2018

Effective results for linear Equations in Members of two Recurrence Sequences

Volker Ziegler

Let $(U_{n})_{n = 0}^{\infty}$ and $(V_{m})_{m = 0}^{\infty}$ be two linear recurrence sequences. For fixed positive integers $k$ and $ℓ$ , fixed $k$ -tuple $(a_{1}, \dots, a_{k}) \in Z^{k}$ …

On the existence of S-Diophantine quadruples

Effective results for linear Equations in Members of two Recurrence Sequences

On the existence of $S$ -Diophantine quadruples