Christian Táfula

collaborators

3 papers

math.NT2026

Infinite Sidon-type sets for zero-sum linear forms

Christian Táfula

Let $h \geq 2$ , and let $b = (b_{1}, \dots, b_{h}) \in Z^{h}$ be a zero-sum vector with nonzero coordinates. For a set $A = {a_{1} < a_{2} < \dots} \subseteq N$ , let $r_{A…

math.NT2026

On Vu's restricted box estimate in Waring's problem

Christian Táfula

In 2000, Vu proved that the number of solutions of $x_{1}^{k} + \dots + x_{s}^{k} = N$ in an arbitrary box satisfies the expected Hardy--Littlewood upper bound with a power-saving error t…

math.NT2025

A note on the Cramér-Granville model

Christian Táfula

We show the existence of a set $A \subseteq Z_{\geq 2}$ satisfying the estimates of the Bateman--Horn conjecture, Goldbach's conjecture, and also \[ \#\{p\leq x \text{ prim…