2023 - Research.com Mathematics in Austria Leader Award
2022 - Research.com Mathematics in Austria Leader Award
2013 - Fellow of the American Mathematical Society
1996 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Informatics
His primary areas of study are Discrete mathematics, Finite field, Quasi-Monte Carlo method, Algebra and Pseudorandom number generator. His Discrete mathematics research incorporates elements of Fourier transform, Digital net and Combinatorics, Prime. His biological study spans a wide range of topics, including Class, Mathematical analysis and Coding theory.
His Quasi-Monte Carlo method study is focused on Monte Carlo method in general. The Algebra study combines topics in areas such as Theoretical computer science and Cryptography. His work investigates the relationship between Pseudorandom number generator and topics such as Linear congruential generator that intersect with problems in Inversive.
His primary areas of study are Discrete mathematics, Finite field, Combinatorics, Pseudorandom number generator and Algebra. Many of his research projects under Discrete mathematics are closely connected to Global function with Global function, tying the diverse disciplines of science together. His biological study deals with issues like Cryptography, which deal with fields such as Theoretical computer science.
His research investigates the connection between Combinatorics and topics such as Numerical integration that intersect with problems in Monte Carlo method. He interconnects Linear congruential generator and Inversive in the investigation of issues within Pseudorandom number generator. His primary area of study in Algebra is in the field of Factorization of polynomials.
Harald Niederreiter spends much of his time researching Discrete mathematics, Finite field, Combinatorics, Global function and Prime power. His Discrete mathematics research includes elements of Dimension, Halton sequence, Quasi-Monte Carlo method, Function and Low-discrepancy sequence. His Quasi-Monte Carlo method study results in a more complete grasp of Monte Carlo method.
His Finite field study combines topics from a wide range of disciplines, such as Algorithm, Pseudorandom number generator, Cryptography, Average-case complexity and Probabilistic logic. In general Pseudorandom number generator, his work in Pseudorandom generator theorem is often linked to Bijection, injection and surjection linking many areas of study. His research integrates issues of Equivalence and Numerical integration in his study of Combinatorics.
Discrete mathematics, Halton sequence, Combinatorics, Algorithm and Quasi-Monte Carlo method are his primary areas of study. His study in Discrete mathematics is interdisciplinary in nature, drawing from both Function and Low-discrepancy sequence. His Combinatorics research is multidisciplinary, incorporating elements of Monte Carlo integration, Numerical integration and Coding.
His Algorithm research is multidisciplinary, relying on both Upper and lower bounds, Probabilistic logic and Finite field. Finite field is a subfield of Algebra that he studies. Harald Niederreiter has included themes like Mathematical proof and Coding theory in his Pseudorandom number generator study.
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Random number generation and quasi-Monte Carlo methods
Rudolf Lide;Harald Niederreiter.
Uniform distribution of sequences
Lauwerens Kuipers;Harald Niederreiter.
Introduction to finite fields and their applications
Rudolf Lidl;Harald Niederreiter.
Quasi-Monte Carlo methods and pseudo-random numbers
Bulletin of the American Mathematical Society (1978)
Finite Fields: Encyclopedia of Mathematics and Its Applications.
R. Lidl;H. Niederreiter.
Computers & Mathematics With Applications (1997)
Point sets and sequences with small discrepancy
Monatshefte für Mathematik (1987)
Low-discrepancy and low-dispersion sequences
Journal of Number Theory (1988)
Implementation and tests of low-discrepancy sequences
Paul Bratley;Bennett L. Fox;Harald Niederreiter.
ACM Transactions on Modeling and Computer Simulation (1992)
Rational Points on Curves Over Finite Fields: Theory and Applications
Harald Niederreiter;Chaoping Xing.
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