On variants of Chowla’s conjecture

Krishnarjun Krishnamoorthy

doi:10.1090/proc/17544

journal article Mar 09, 2026

On variants of Chowla’s conjecture

Krishnarjun Krishnamoorthy

Proceedings of the American Mathematical Society Vol. 154 No. 5 pp. 1897-1910 · American Mathematical Society (AMS)

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Abstract

We study the shifted convolution sums associated with completely multiplicative functions taking values in

{

±

1
}

\{\pm 1\}

and give combinatorial proofs of two recent results in the direction of Chowla’s conjecture. We also determine the corresponding “spectrum”.

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References

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Details

Published: Mar 09, 2026
Vol/Issue: 154(5)
Pages: 1897-1910
License: View

Authors

K

Krishnarjun Krishnamoorthy

Cite This Article

Krishnarjun Krishnamoorthy (2026). On variants of Chowla’s conjecture. Proceedings of the American Mathematical Society, 154(5), 1897-1910. https://doi.org/10.1090/proc/17544

On variants of Chowla’s conjecture

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