K. Chim

activity

20162020

most citedOn a variant of Pillai's problem

21 citations · 22 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2020

Perfect squares representing the number of rational points on elliptic curves over finite field extensions

Kwok Chi Chim, Florian Luca

Let $q$ be a perfect power of a prime number $p$ and $E (F_{q})$ be an elliptic curve over $F_{q}$ given by the equation $y^{2} = x^{3} + A x + B$ . For a positive integer $n$ w…

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.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★ 21 cited

On a variant of Pillai's problem