Let $A\subset \mathbb{N}$ be the set of cubes. Is it true that$$1_A\ast 1_A(n)\ll (\log n{)}^{O(1)}?$$

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

Let [ r(n):=(1_A*1_A)(n)=\sum_{a+b=n}1_A(a),1_A(b), ] where (A={m^3:m\in\mathbb N}). Then $r(n)$ is exactly the number of (ordered) pairs ((c,d)\in\mathbb N^2) with [ c^3+d^3=n. ]

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.