Christian Táfula

activity

20192026

most citedClassification of the conjugacy classes of

SL (2, R)

1 citations · 1 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.NT2026

Quantitative linear independence for square roots

Marco Aymone, Samuel Figueredo, Siddharth Iyer +1

We consider the problem of finding lower bounds for integer linear combinations of $a_{1}, \dots, a_{K}$ , where $a_{1}, \dots, a_{K}$ are positive integers such that their squa…

math.NT2026

Bounded asymptotic bases for linear forms

Christian Táfula

For a vector of positive integers $b = (b_{1}, \dots, b_{h})$ with $g cd (b_{1}, \dots, b_{h}) = 1$ , we study sets $A \subseteq N$ for which every sufficiently large integer…

math.NT2026

The multiplication table problem in large dimensions

Cihan Sabuncu, Christian Táfula

For $N \geq 2$ and $k \geq 1$ , let $M_{k} (N) := # {x_{1} \dots x_{k} : x_{i} \in {1, \dots, N} for all i}$ be the $k$ -dimensional multiplication table. Given $N$ , Khovanskii's theorem…

math.NT2026

Thin subbases of Piatetski-Shapiro sequences

Christian Táfula

For a non-integral real number $c > 1$ , let $N_{(c)} := {⌊ n^{c} ⌋ ∣ n \in N}$ . We show that $N_{(c)}$ contains thin subbases of every order $h\ge…