Profile directory About Mobile apps
Log in Sign up
arXiv Math @arxiv_math@qoto.org
Follow

On a Romanoff type problem of Erd\H{o}s and Kalm\'{a}r https://arxiv.org/abs/2503.22700 #mathNT

On a Romanoff type problem of Erdős and Kalmár

Let $\mathbb{N}$ and $\mathcal{P}$ be the sets of natural numbers and primes, respectively. Motived by an old problem of Erd\H os and Kalmár, we prove that for almost all $y>1$ the lower asymptotic density of integers of the form $p+\lfloor y^k\rfloor~(p\in \mathcal{P},k\in \mathbb{N})$ is positive.

arXiv.org
April 2, 2025 at 3:10 AM · · feed2toot · 0 · 0 · 0
Sign in to participate in the conversation
Qoto Mastodon

QOTO: Question Others to Teach Ourselves
An inclusive, Academic Freedom, instance
All cultures welcome.
Hate speech and harassment strictly forbidden.

Trending now

#news0 people talking
0
#photography0 people talking
0

Resources

  • Terms of service
  • Privacy policy

Developers

  • Documentation
  • API

What is Mastodon?

qoto.org

  • About
  • v3.5.19-qoto

More…

  • Source code
  • Mobile apps
v3.5.19-qoto · Privacy policy