Varbanets S. Generation of the sequences of inversive congruential pseudorandom numbers

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U002005

Thesis Registration Form

0410U002005.pdf

Applicant for

Specialization

  • 01.01.08 - Математична логіка, теорія алгоритмів і дискретна математика

12-04-2010

Specialized Academic Board

Д26.001.18

Essay

The generators of the sequences of congruential pseudorandom numbers (PRNs), exponential sums of the sequences of PRNs, the Kloosterman sums are considered in the thesis. Constructed three general generators of the sequences of PRNs with prime power modulus, obtained the asymptotic estimates for the power and norm Kloosterman sums over the ring of Gaussian integers. Studied the distribution of special arithmetic functions weighting by exponential factors.

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Files

S_Varbanets(avtoreferat).doc

S_Varbanets(disertation).doc

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