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Problem 829 — Erdős Problems

Problem 829

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)}?

Source: erdosproblems.com/829

Number theory

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No claim settles this problem.

Ma35b: Mahler, Kurt, On the Lattice Points on Curves of Genus 1. Proc. London Math. Soc. (2) (1935), 431-466.
St08: Stewart, Cameron L., Cubic Thue equations with many solutions. Int. Math. Res. Not. IMRN (2008), Art. ID rnn040, 11.

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