On variants of Chowla's conjecture

Krishnarjun Krishnamoorthy

On variants of Chowla's conjecture

Number Theory 2025-03-11 v2 Combinatorics

Authors: Krishnarjun Krishnamoorthy

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".

Keywords

Chowla's conjecture shifted convolution sums completely multiplicative functions combinatorial proofs spectrum

Cite

@article{arxiv.2501.10962,
  title  = {On variants of Chowla's conjecture},
  author = {Krishnarjun Krishnamoorthy},
  journal= {arXiv preprint arXiv:2501.10962},
  year   = {2025}
}

Comments

14 Pages, Comments and suggestions welcome

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