I. Vukusic

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20202025

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

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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 $α$ , let $M (α) = sup_{n \geq 1} a_{n} (α)$ denote the largest partial quotient in its continued fraction expansion (or $\infty$ , if unbounded). The $2$ -adic…

Bounds for sets of remainders

Some Bounds Related to the 2-adic Littlewood Conjecture

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