PAPER / ARXIV:2609.08706

On a problem of Erdős and Nathanson related to minimal asymptotic bases of order $h$

Shi-Qiang Chen , Quan-Hui Yang

RESUMO

Let $h\geq 3$ be an integer and $0<\alpha<1/h$. In this paper, we prove that there exists a minimal asymptotic basis of order $h$ with asymptotic density $\alpha$. This solves an open problem posed by Erdős and Nathanson in 1988.

NO MESMO MAPA

Papers relacionados

math.NT18 de set. de 2026

Asymptotic counting of integers with prime factors $p_{r^a s^b}$

Mehdi Golafshan

On a problem of Erdős and Nathanson related to minimal asymptotic bases of order $h$

Papers relacionados

Asymptotic counting of integers with prime factors $p_{r^a s^b}$

A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd parts

Sumsets of Ahlfors--David regular sets

On the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G}_2$

Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$

A new family of maximal curves not covered by the Hermitian curve