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 2017Show all

2 papers · 1 filter

math.NT2017★ 1 cited

On Diophantine equations involving sums of Fibonacci numbers and powers of $2$

Kwok Chi Chim, Volker Ziegler

In this paper, we completely solve the Diophantine equations $F_{n_{1}} + F_{n_{2}} = 2^{a_{1}} + 2^{a_{2}} + 2^{a_{3}}$ and $F_{m_{1}} + F_{m_{2}} + F_{m_{3}} = 2^{t_{1}} + 2^{t_{2}}$ , where $F_{k}$ d…

math.NT2017

On arithmetic progressions in Lucas sequences

Lajos Hajdu, Márton Szikszai, Volker Ziegler

In this paper, we consider arithmetic progressions contained in Lucas sequences of first and second kind. We prove that for almost all sequences, there are only finitely many and t…

On Diophantine equations involving sums of Fibonacci numbers and powers of 2

On arithmetic progressions in Lucas sequences

On Diophantine equations involving sums of Fibonacci numbers and powers of $2$