On variants of Chowla's conjecture

Fuente: arXiv
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Main Author: Krishnamoorthy, Krishnarjun
Format: Preprint
Published: 2025
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author Krishnamoorthy, Krishnarjun
author_facet Krishnamoorthy, Krishnarjun
contents 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".
format Preprint
id arxiv_https___arxiv_org_abs_2501_10962
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On variants of Chowla's conjecture
Krishnamoorthy, Krishnarjun
Number Theory
Combinatorics
Primary : 11N37, 11P32, Secondary : 11N35, 11T06
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".
title On variants of Chowla's conjecture
topic Number Theory
Combinatorics
Primary : 11N37, 11P32, Secondary : 11N35, 11T06
url https://arxiv.org/abs/2501.10962