On the Pseudorandomness of the Liouville Function of Polynomials over a Finite Field
et | 13 janv. 2017
À propos de cet article
Publié en ligne: 13 janv. 2017
Pages: 47 - 58
Reçu: 27 avr. 2015
Accepté: 31 août 2015
DOI: https://doi.org/10.1515/udt-2016-0004
Mots clés
© 2016 László Mérai et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
We study several pseudorandom properties of the Liouville function and the Möbius function of polynomials over a finite field. More precisely, we obtain bounds on their balancedness as well as their well-distribution measure, correlation measure, and linear complexity profile.