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Inversive Generators of Second Order

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13th Chaotic Modeling and Simulation International Conference (CHAOS 2020)

Part of the book series: Springer Proceedings in Complexity ((SPCOM))

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Abstract

Inversive congruential method for generating the uniform pseudorandom numbers is a particulary attractive alternative to linear congruential generators, which show many undesirable regularities. In present paper, we investigate the equidistribution of sequences produced by inversive congruential generator of second order by using the discrepancy bounds of such sequences of pseudorandom numbers (PRN’s). Also there are obtained the estimates of special exponential sums of these sequences.

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Correspondence to Sergey Varbanets .

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Varbanets, S., Vorobyov, Y. (2021). Inversive Generators of Second Order. In: Skiadas, C.H., Dimotikalis, Y. (eds) 13th Chaotic Modeling and Simulation International Conference. CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_70

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