I. Vukusic

collaborators

3 papers

math.NT2025

Thue equations over $C (T)$ : The Complete Solution of a Simple quartic family

Bernadette Faye, Ingrid Vukusic, Ezra Waxman +1

In this paper we completely solve a simple quartic family of Thue equations over $C (T)$ . Specifically, we apply the ABC-Theorem to find all solutions $(x,y) \in \mathbb{C}…

math.NT2025

Bounds for sets of remainders

Omkar Baraskar, Ingrid Vukusic

Let $s (n)$ be the number of different remainders $n mod k$ , where $1 \leq k \leq ⌊ n /2 ⌋$ . This rather natural sequence is sequence A283190 in the OEIS and while some…

math.NT2025

Some Bounds Related to the $2$ -adic Littlewood Conjecture

Dinis Vitorino, Ingrid Vukusic

For every irrational real $I^\pm$ , let $M (I^\pm) = sup_{n \geq 1} a_{n} (I^\pm)$ denote the largest partial quotient in its continued fraction expansion (or $\infty$ , if unbounded). The $2$ -ad…

Thue equations over C(T): The Complete Solution of a Simple quartic family

Bounds for sets of remainders

Some Bounds Related to the 2-adic Littlewood Conjecture

Thue equations over $C (T)$ : The Complete Solution of a Simple quartic family

Some Bounds Related to the $2$ -adic Littlewood Conjecture