I. Vukusic

activity

20202025

U_{n} - b^{m} = c

2 citations · 5 across the 12 of their papers we have counts for

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math.NT2020

On a variant of Pillai's problem with transcendental numbers

Robert Tichy, Ingrid Vukusic, Daodao Yang +1

In this paper, we study the asymptotic behaviour of the number of solutions $(m, n) \in N^{2}$ to the inequality $∣ α^{n} - β^{m} ∣ \leq x$ when $x$ tends to infinity. Here $α,…

math.NT2020

Integers representable as differences of linear recurrence sequences

Robert Tichy, Ingrid Vukusic, Daodao Yang +1

Let ${U_{n}}_{n \geq 0}$ and ${V_{m}}_{m \geq 0}$ be two linear recurrence sequences. We establish an asymptotic formula for the number of integers $c$ in the range $[- x, x]$ which…

math.NT2020

Integers representable as differences of linear recurrence sequences

Daodao Yang

Let ${U_{n}}_{n ⩾ 0}$ and ${G_{m}}_{m ⩾ 0}$ be two linear recurrence sequences defined over the integers. We establish an asymptotic formula for the number of integ…