Christian Táfula

activity

20242026

collaborators

5 papers

math.NT2026

Infinite Sidon-type sets for zero-sum linear forms

Christian TÃ¡fula

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 TÃ¡fula

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 CramÃ©r-Granville model

Christian TÃ¡fula

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…

math.NT2024

Zeros near $s = 1$ and the constant term of $L^{'} / L$ for $L$ -functions in the Selberg class

Christian TÃ¡fula

Let $L (s) = \sum_{n = 1}^{\infty} a_{n} n^{- s}$ be an $L$ -function in the Selberg class, and $q_{L}$ its conductor. Let $ℓ_{0} (L)$ be the constant term o…

math.CO2024

On the size and structure of $t$ -representable sumsets

Christian TÃ¡fula

Let $A \subseteq Z_{\geq 0}$ be a finite set with minimum element $0$ , maximum element $m$ , and $ℓ$ elements strictly in between. Write $(h A)^{(t)}$ for the set of integ…

Infinite Sidon-type sets for zero-sum linear forms

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

A note on the CramÃ©r-Granville model

Zeros near s=1 and the constant term of L′/L for L-functions in the Selberg class

On the size and structure of t-representable sumsets

Zeros near $s = 1$ and the constant term of $L^{'} / L$ for $L$ -functions in the Selberg class

On the size and structure of $t$ -representable sumsets