IJPAM: Volume 103, No. 4 (2015)

INVERSIVE CONGRUENTIAL GENERATOR WITH
A VARIABLE SHIFT OF PSEUDORANDOM POINTS
OVER THE COMPLEX PLANE

Tran The Vinh
Department of Computer Algebra and Discrete Mathematics
I.I. Mechnikov Odessa National University
St. Dvoryanskaya 2, 65026 Odessa, UKRAINE


Abstract. Consider the generator of pseudorandom points on unit square produced by the inversive congruential recursion over the ring of Gaussian integers. Study the exponential sums on sequences of these points.

Received: January 22, 2015

AMS Subject Classification: 11K45, 11T71, 94A60, 11L07, 11T23

Key Words and Phrases: pseudorandom numbers, exponential sums, Gaussian integers, inversive congruential generator

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DOI: 10.12732/ijpam.v103i4.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 4
Pages: 597 - 611


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