Distribution of nonlinear congruential pseudorandom numbers modulo almost squarefree integers

DOI10.1007/S00605-005-0355-7zbMath1105.11023OpenAlexW2049419237MaRDI QIDQ2503138

Arne Winterhof, Igor E. Shparlinski, Edwin D. El-Mahassni

Publication date: 14 September 2006

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0355-7

zbMATH Keywords

exponential sumsdiscrepancypseudorandom numbernonlinear 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)

ON THE DISTRIBUTION OF PSEUDORANDOM NUMBERS AND VECTORS DERIVED FROM EULER–FERMAT QUOTIENTS ⋮ Exponential sums for nonlinear recurring sequences ⋮ ON THE DISTRIBUTION OF COUNTER-DEPENDENT NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBER GENERATORS IN RESIDUE RINGS

Cites Work

• On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
• On the multidimensional distribution of inversive congruential pseudorandom numbers in parts of the period
• 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 NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBERS IN RESIDUE RINGS
• The distribution of square-full integers
• On the distribution of compound inversive congruential pseudorandom numbers
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