Erdős Problems

Browse all problems

↑ ↓ to move↵ to openesc to close

Loading problem…

Status

On this page

Status

Topics

Terms Privacy info@plasma.ai

Problem 66 — Erdős Problems

Problem 66

Is there $A\subseteq \mathbb{N}$ such that

\lim_{n\to \infty}\frac{1_A\ast 1_A(n)}{\log n}

exists and is $\neq 0$ ?

Source: erdosproblems.com/66

Number theory
Additive bases

Wiki page

Status

Open

No claim settles this problem.

Er80: Erdős, Paul, A survey of problems in combinatorial number theory. Ann. Discrete Math. (1980), 89-115.
Ho07: G. Horváth, An improvement of a theorem of Erdős and Sárközy. Pollack Periodica (2007), 155-161.

Proof claims

Loading proof claims…

Discussion

Loading discussion…

PreviousProblem 65 NextProblem 67

On this page

Statement
Status
References
Proof claims
Discussion

Status: Open
Topics: Number theory
Additive bases
In the wiki: Wiki page