Christian Táfula

activity

20192026

most citedClassification of the conjugacy classes of

SL (2, R)

1 citations · 2 across the 9 of their papers we have counts for

collaborators

10 papers

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…

math.NT2025

Waring and Waring-Goldbach subbases with prescribed representation function

Christian Táfula

Let $h \geq 2$ . For $A \subseteq N$ write \[ r_{A,h}(n) := \#\{(x_1,\ldots,x_h)\in A^h ~|~ x_1+\cdots+x_h=n\}. \] We prove a general probabilistic subbasis principle: assumi…

math.NT2024

Multiplicative recurrence of Möbius transformations

Sun-Kai Leung, Christian Táfula

We establish a complete characterization of multiplicative recurrence for images of the positive integers under Möbius transformations, answering a question of Donoso--Le--Moreira-…

math.CO2024

Knights are 24/13 times faster than the king

Christian Táfula

On an infinite chess board, how much faster can the knight reach a square when compared to the king, in average? More generally, for coprime $b > a \in Z_{\geq 1}$ such that…

math.NT2024

Representation functions with prescribed rates of growth

Christian Táfula

Fix an integer $h \geq 2$ , and let $b_{1}, \dots, b_{h}$ be (not necessarily distinct) positive integers with $g cd (b_{1}, \dots, b_{h}) = 1$ . For any subset $A \subseteq N$ , le…

math.GR2023★ 1 cited

Classification of the conjugacy classes of $SL (2, R)$

Christian Táfula

In this note, we classify the conjugacy classes of $SL_{2} (R)$ , the universal covering group of $PSL_{2} (R)$ . For any non-central elemen…

math.NT2019★ 1 cited

On Landau-Siegel zeros and heights of singular moduli

Christian Táfula

Let $χ_{D}$ be the Dirichlet character associated to $Q (D)$ where $D < 0$ is a fundamental discriminant. Improving Granville-Stark [DOI:10.1007/s002229900036], we sho…

Quantitative linear independence for square roots

Bounded asymptotic bases for linear forms

The multiplication table problem in large dimensions

Thin subbases of Piatetski-Shapiro sequences

Waring and Waring-Goldbach subbases with prescribed representation function

Multiplicative recurrence of Möbius transformations

Knights are 24/13 times faster than the king

Representation functions with prescribed rates of growth

Classification of the conjugacy classes of SL(2,R)

On Landau-Siegel zeros and heights of singular moduli

Classification of the conjugacy classes of $SL (2, R)$