Averages of short correlations: a note
Giovanni Coppola
TL;DR
This paper provides an elementary analysis of the averages of short correlations for sieve functions, a broad class of arithmetic functions, enhancing understanding of their behavior in number theory.
Contribution
It introduces a new elementary approach to studying averages of short correlations for sieve functions, expanding the analytical tools available.
Findings
Established elementary formulas for averages of short correlations
Extended understanding of sieve functions' behavior
Provided new insights into arithmetic function correlations
Abstract
We give a completely elementary study for averages of short correlations of so-called sieve functions (a pretty general class of arithmetic functions).
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Limits and Structures in Graph Theory