MathDB

Erdős Problem #66 — Is there A⊆NA\subseteq \mathbb{N} such that lim⁡n→∞1A∗1A(n)log⁡n\lim_{n\to \infty}\frac{1_A\ast 1_A(n)}{\log n} exists and is ≠0\neq 0?

About 46 years old · traced to

Is there A⊆NA\subseteq \mathbb{N} such that lim⁡n→∞1A∗1A(n)log⁡n\lim_{n\to \infty}\frac{1_A\ast 1_A(n)}{\log n} exists and is ≠0\neq 0?

References

Primary source

ULAM AI, UnsolvedMath dataset, Erdős Problems set, revision b9437975f3c873f635a13c48f8b022f5ba80898a; CC BY 4.0.

Additional references

UnsolvedMath, Erdős Problems set, ULAM AI, licensed CC BY 4.0.

additive-basisnumber-theory
InErdős Problems
Posted · edited

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.