EXPONENTIAL SUMS AND THE DISTRIBUTION OF INVERSIVE CONGRUENTIAL PSEUDORANDOM NUMBERS WITH POWER OF TWO MODULUS

DOI10.1142/S1793042105000261zbMath1084.11042OpenAlexW2116627491MaRDI QIDQ3370697

Arne Winterhof, Harald Niederreiter

Publication date: 8 February 2006

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

Full work available at URL: https://doi.org/10.1142/s1793042105000261

zbMATH Keywords

exponential sumsdiscrepancypseudorandom numbersinverse conguential method

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Random number generation in numerical analysis (65C10) Estimates on character sums (11L40) Irregularities of distribution, discrepancy (11K38) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (7)

ON THE DISTRIBUTION OF NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBERS IN RESIDUE RINGS ⋮ More constructions of pseudorandom sequences of \(k\) symbols ⋮ On the dynamical system generated by the Möbius transformation at prime times ⋮ Construction of pseudorandom binary lattices by using the multiplicative inverse ⋮ Distribution of nonlinear congruential pseudorandom numbers modulo almost squarefree integers ⋮ Inversive pseudorandom numbers over Galois rings ⋮ Distribution of short subsequences of inversive congruential pseudorandom numbers modulo $2^t$

Cites Work

• On the period length of congruential pseudorandom number sequences generated by inversions
• Über die Kloostermanschen Summen \(S(u,v;q)\)
• On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
• On the distribution of inversive congruential pseudorandom numbers in parts of the period
• Some extremal functions in Fourier analysis
• On the distribution of compound inversive congruential pseudorandom numbers

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