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

Harald Niederreiter, Arne Winterhof

Type: Article

Publication Date: 2005-09-01

Citations: 12

DOI: https://doi.org/10.1142/s1793042105000261

View Publication

Locations

International Journal of Number Theory - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus	2000	Harald Niederreiter Igor E. Shparlinski
+	Lower bounds for the discrepancy of triples of inversive congruential pseudorandom numbers with power of two modulus	1998	J�rgen Eichenauer-Herrmann Harald Niederreiter
+	On the distribution of inversive congruential pseudorandom numbers in parts of the period	2000	Harald Niederreiter Igor E. Shparlinski
+ PDF Chat	Explicit inversive congruential pseudorandom numbers with power of two modulus	1994	Jürgen Eichenauer‐Herrmann Katja Ickstadt
+ PDF Chat	Explicit Inversive Congruential Pseudorandom Numbers with Power of Two Modulus	1994	Jürgen Eichenauer‐Herrmann Katja Ickstadt
+	On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus	1991	Jürgen Eichenauer‐Herrmann
+	On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus, II	1993	Jürgen Eichenauer‐Herrmann
+ PDF Chat	Improved Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers	1994	Jürgen Eichenauer‐Herrmann
+	Equidistribution properties of inversive congruential pseudorandom numbers with power of two modulus	1996	Jürgen Eichenauer‐Herrmann
+ PDF Chat	Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers	1990	Harald Niederreiter
+ PDF Chat	Kloosterman-type sums and the discrepancy of nonoverlapping pairs of inversive congruential pseudorandom numbers	1993	Jürgen Eichenauer‐Herrmann Harald Niederreiter
+	Improved lower bounds for the discrepancy of inversive congruential pseudorandom numbers	1994	Jürgen Eichenauer‐Herrmann
+	A sharp estimate of the discrepancy of a concatenation sequence of inversive pseudorandom numbers with consecutive primes	2021	Martin Lind
+ PDF Chat	Lower bounds for the discrepancy of inversive congruential pseudorandom numbers with power of two modulus	1992	Jürgen Eichenauer‐Herrmann Harald Niederreiter
+ PDF Chat	Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers with Power of Two Modulus	1992	Jürgen Eichenauer‐Herrmann Harald Niederreiter
+	Improved upper bounds for the discrepancy of pairs of inversive congruential pseudorandom numbers	1996	Jürgen Eichenauer‐Herrmann
+ PDF Chat	Compound inversive congruential pseudorandom numbers: an average-case analysis	1996	Jürgen Eichenauer‐Herrmann Frank Emmerich
+ PDF Chat	Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers	1993	Jürgen Eichenauer‐Herrmann
+ PDF Chat	Statistical independence of a new class of inversive congruential pseudorandom numbers	1993	Jürgen Eichenauer‐Herrmann
+ PDF Chat	Inversive congruential pseudorandom numbers: distribution of triples	1997	Jürgen Eichenauer‐Herrmann Harald Niederreiter

Works That Cite This (8)

Action	Title	Year	Authors
+	Distribution of short subsequences of inversive congruential pseudorandom numbers modulo $2^t$	2019	László Mérai Igor E. Shparlinski
+	Distribution of short subsequences of inversive congruential pseudorandom numbers modulo $2^t$	2018	László Mérai Igor E. Shparlinski
+	Distribution of Nonlinear Congruential Pseudorandom Numbers Modulo Almost Squarefree Integers	2006	Edwin El-Mahassni Igor E. Shparlinski Arne Winterhof
+	On the Dynamical System Generated by the M\"obius transformation at Prime Times	2020	László Mérai Igor E. Shparlinski
+	Distribution of short subsequences of inversive congruential pseudorandom number generator	2018	László Mérai Igor E. Shparlinski
+ PDF Chat	ON THE DISTRIBUTION OF NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBERS IN RESIDUE RINGS	2006	Edwin El-Mahassni Arne Winterhof
+ PDF Chat	On the dynamical system generated by the Möbius transformation at prime times	2021	László Mérai Igor E. Shparlinski
+	Period Distribution of Inversive Pseudorandom Number Generators Over Galois Rings	2012	Bo Zhou Qiankun Song

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	The period lengths of inversive congruential recursions	1995	Wun-Seng Chou
+	On the Distribution of Nonlinear Recursive Congruential Pseudorandom Numbers of Higher Orders	1999	Frances Griffin Harald Niederreiter Igor E. Shparlinski
+	On the Distribution and Lattice Structure of Nonlinear Congruential Pseudorandom Numbers	1999	Harald Niederreiter Igor E. Shparlinski
+ PDF Chat	On the Multidimensional Distribution of Inversive Congruential Pseudorandom Numbers in Parts of the Period	2000	Jaime Gutiérrez Harald Niederreiter Igor E. Shparlinski
+	On the Distribution of Compound Inversive Congruential Pseudorandom Numbers	2001	Harald Niederreiter Arne Winterhof
+	On the distribution of inversive congruential pseudorandom numbers in parts of the period	2000	Harald Niederreiter Igor E. Shparlinski
+	On the period length of congruential pseudorandom number sequences generated by inversions	1990	Jürgen Eichenauer‐Herrmann Alev Topuzoğlu
+	On the discrepancy of quadratic congruential pseudorandom numbers	1991	Jürgen Eichenauer‐Herrmann Harald Niederreiter
+	Random Number Generation and Quasi-Monte Carlo Methods.	1993	Bruce Jay Collings Harald Niederreiter
+ PDF Chat	Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus	2000	Harald Niederreiter Igor E. Shparlinski