On variants of Chowla's conjecture

Published 19 Jan 2025 in math.NT and math.CO | (2501.10962v2)

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

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