Christian Táfula

activity

20152026

most citedAn extension of the Erdős-Tetali theorem

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 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…

math.CO2023

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

Christian Táfula

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…

math.NT2020

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

Christian Táfula

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.CO2018★ 1 cited

An extension of the Erdős-Tetali theorem

Christian Táfula

Given a sequence $A = {a_{0} < a_{1} < a_{2} \dots} \subseteq N$ , let $r_{A, h} (n)$ denote the number of ways $n$ can be written as the sum of $h$ elements of $\ma…

math.NT2015

An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture

Christian Táfula

The goal of this paper is to describe an elementary combinatorial heuristic that predicts Hardy and Littlewood's extended Goldbach's conjecture. We examine common features of other…

Infinite Sidon-type sets for zero-sum linear forms

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

A note on the Cramér-Granville model

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

An extension of the Erdős-Tetali theorem

An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture

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