ON THE DISTRIBUTION OF NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBERS IN RESIDUE RINGS

DOI10.1142/S1793042106000413zbMath1125.11044OpenAlexW2033896979MaRDI QIDQ5291343

Arne Winterhof, Edwin D. El-Mahassni

Publication date: 10 May 2006

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042106000413

zbMATH Keywords

exponential sumsdiscrepancypseudorandom number generationnonlinear congruential method

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (3)

Exponential sums for nonlinear recurring sequences ⋮ Distribution of nonlinear congruential pseudorandom numbers modulo almost squarefree integers ⋮ ON THE DISTRIBUTION OF COUNTER-DEPENDENT NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBER GENERATORS IN RESIDUE RINGS

Cites Work

• Sequences, discrepancies and applications
• On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
• On the distribution of inversive congruential pseudorandom numbers in parts of the period
• EXPONENTIAL SUMS AND THE DISTRIBUTION OF INVERSIVE CONGRUENTIAL PSEUDORANDOM NUMBERS WITH POWER OF TWO MODULUS
• On the distribution of compound inversive congruential pseudorandom numbers

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