Effective bounds of the variance of statistics on multisets of necklaces

Arvydas  Karbonskis; Eugenijus  Manstavičius

doi:10.15388/LMR.2020.22469

Articles

Arvydas Karbonskis

Vilnius University

https://orcid.org/0000-0002-5158-0477

Eugenijus Manstavičius

Vilnius University

https://orcid.org/0000-0002-7185-2708

Published 2021-02-18

https://doi.org/10.15388/LMR.2020.22469

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Keywords

Turan-Kubilius inequality
polynomials over finite field
additive function

How to Cite

Karbonskis, A. and Manstavičius, E. (2021) “Effective bounds of the variance of statistics on multisets of necklaces”, Lietuvos matematikos rinkinys, 61(A), pp. 7–12. doi:10.15388/LMR.2020.22469.

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Abstract

The variance of a linear statistics on multisets of necklaces is explored. The upper and lower bounds with optimal constants are obtained

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