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On the Pseudorandomness of the Liouville Function of Polynomials over a Finite Field Cover

On the Pseudorandomness of the Liouville Function of Polynomials over a Finite Field

Uniform distribution theory
Volume 11 (2016): Issue 1 (June 2016)
By: László Mérai and  Arne Winterhof  
Open Access
|Jan 2017

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DOI: https://doi.org/10.1515/udt-2016-0004 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
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Language: English
Page range: 47 - 58
Submitted on: Apr 27, 2015
Accepted on: Aug 31, 2015
Published on: Jan 13, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
polynomials,
finite fields,
irreducible factors,
pseudorandom sequence,
balancedness,
well-distribution,
correlation measure,
linear complexity,
polynomial Liouville function,
polynomial Möbius function
Related subjects:
Mathematics,
Algebra and number theory,
Discrete mathematics,
Probability and statistics,
Numerical and computational mathematics

© 2017 László Mérai, Arne Winterhof, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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