Christian Táfula

activity

20242026

collaborators

3 papers

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.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-…