István Pink

activity

20152024

most citedOn a variant of Pillai's problem

21 citations · 27 across the 8 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.NT2016

On a variant of Pillai's problem II

Kwok Chi Chim, István Pink, Volker Ziegler

In this paper, we show that there are only finitely many $c$ such that the equation $U_{n} - V_{m} = c$ has at least two distinct solutions $(n, m)$ , where ${U_{n}}_{n \geq 0}$ and $\{V_…

math.NT2016★ 1 cited

Effective Resolution of Diophantine equations of the form $u_{n} + u_{m} = w p_{1}^{z_{1}} \dots p_{s}^{z_{s}}$

István Pink, Volker Ziegler

Let $u_{n}$ be a fixed non-degenerate binary recurrence sequence with positive discriminant, $w$ a fixed non-zero integer and $p_{1}, p_{2}, \dots, p_{s}$ fixed, distinct prime numbers. In th…

math.NT2016★ 21 cited

On a variant of Pillai's problem

Kwok Chi Chim, István Pink, Volker Ziegler

In this paper, we find all integers $c$ having at least two representations as a difference between a Fibonacci number and a Tribonacci number.

On a variant of Pillai's problem II

Effective Resolution of Diophantine equations of the form un​+um​=wp1z1​​⋯pszs​​

On a variant of Pillai's problem

Effective Resolution of Diophantine equations of the form $u_{n} + u_{m} = w p_{1}^{z_{1}} \dots p_{s}^{z_{s}}$