H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 53 Citations 26,091 250 World Ranking 445 National Ranking 5

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

1996 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Informatics

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Mathematical analysis
  • Real number

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 most cited work include:

  • Random number generation and quasi-Monte Carlo methods (3079 citations)
  • Finite fields (2278 citations)
  • Uniform Distribution of Sequences (2189 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Discrete mathematics (48.54%)
  • Finite field (29.53%)
  • Combinatorics (26.02%)

What were the highlights of his more recent work (between 2008-2020)?

  • Discrete mathematics (48.54%)
  • Finite field (29.53%)
  • Combinatorics (26.02%)

In recent papers he was focusing on the following fields of study:

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.

Between 2008 and 2020, his most popular works were:

  • Algebraic Geometry in Coding Theory and Cryptography (50 citations)
  • Quasi-Monte Carlo Methods (42 citations)
  • On the discrepancy of some hybrid sequences (27 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Mathematical analysis
  • Real number

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Random number generation and quasi-Monte Carlo methods

Harald Niederreiter.
(1992)

5263 Citations

Finite fields

Rudolf Lide;Harald Niederreiter.
(1996)

4697 Citations

Uniform Distribution of Sequences

Lauwerens Kuipers;Harald Niederreiter.
(2006)

3675 Citations

Introduction to finite fields and their applications

Rudolf Lidl;Harald Niederreiter.
The Mathematical Gazette (1986)

2760 Citations

Quasi-Monte Carlo methods and pseudo-random numbers

Harald Niederreiter.
Bulletin of the American Mathematical Society (1978)

1059 Citations

Finite Fields: Encyclopedia of Mathematics and Its Applications.

R. Lidl;H. Niederreiter.
Computers & Mathematics With Applications (1997)

825 Citations

Point sets and sequences with small discrepancy

Harald Niederreiter.
Monatshefte für Mathematik (1987)

766 Citations

Low-discrepancy and low-dispersion sequences

Harald Niederreiter.
Journal of Number Theory (1988)

575 Citations

Implementation and tests of low-discrepancy sequences

Paul Bratley;Bennett L. Fox;Harald Niederreiter.
ACM Transactions on Modeling and Computer Simulation (1992)

356 Citations

Rational Points on Curves Over Finite Fields: Theory and Applications

Harald Niederreiter;Chaoping Xing.
(2001)

334 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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