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arXiv · 2501.10962

On variants of Chowla's conjecture

Krishnarjun Krishnamoorthy
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Abstract

We study the shifted convolution sums associated to completely multiplicative functions taking values in $\{\pm 1\}$ and give combinatorical proofs of two recent results in the direction of Chowla's conjecture. We also determine the corresponding "spectrum".

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Krishnarjun Krishnamoorthy. 2025-01-19. On variants of Chowla's conjecture. https://doi.org/10.1090/proc/17544

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