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Proceedings of the London Mathematical Society· 2026Q1

On Elliott's conjecture and applications

Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen

Short summary

A new proof shows that for nonpretentious multiplicative functions, the two-point correlation vanishes for distinct integer shifts along a set of full upper logarithmic density, a significant improvement over previous work requiring stronger hypotheses.

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics