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Note on the Theory of Correlation Functions

General Mathematics 2022-06-10 v9

Abstract

The purpose of this note is to improve the current theoretical results for the correlation functions of the Mobius sequence {μ(n):n1}\{\mu(n): n\geq 1 \} and the Liouville sequence {λ(n):n1}\{\lambda(n): n\geq 1 \}.

Cite

@article{arxiv.1603.06758,
  title  = {Note on the Theory of Correlation Functions},
  author = {N. A. Carella},
  journal= {arXiv preprint arXiv:1603.06758},
  year   = {2022}
}

Comments

134 Pages. Keywords: Autocorrelation function, Correlation function, Multiplicative function, Liouville function, Mobius function, vonMangoldt function, Exponential Sum

R2 v1 2026-06-22T13:16:00.922Z