ArticleOriginal scientific text

Title

General discrepancy estimates: the Walsh function system

Authors 1

Affiliations

  1. Institut für Mathematik, Universität Salzburg, Hellbrunner Strasse 34, A-5020 Salzburg, Austria

Keywords

discrepancy, Walsh functions, Vilenkin-Fourier series, pseudorandom number generators, quasi-Monte Carlo methods

Bibliography

  1. T. Cochrane, On a trigonometric inequality of Vinogradov, J. Number Theory 27 (1987), 9-16.
  2. H. Niederreiter, On the distribution of pseudo-random numbers generated by the linear congruential method. III, Math. Comp. 30 (1976), 571-597.
  3. H. Niederreiter, Pseudo-random numbers and optimal coefficients, Adv. in Math. 26 (1977), 99-181.
  4. H. Niederreiter, Pseudozufallszahlen und die Theorie der Gleichverteilung, Sitzungsber. Österr. Akad. Wiss. Math.-Natur. Kl. II 195 (1986), 109-138.
  5. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Philadelphia, 1992.
  6. F. Schipp, W. R. Wade, P. Simon and J. Pál, Walsh Series. An Introduction to Dyadic Harmonic Analysis, Adam Hilger, Bristol, 1990.
Pages:
209-218
Main language of publication
English
Received
1993-05-12
Accepted
1994-01-19
Published
1994
Exact and natural sciences