ArticleOriginal scientific text

Title

Bounds for exponential sums and their applications to pseudorandom numbers

Authors 1, 2

Affiliations

  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstrasse 7, D-64289 Darmstadt, Germany
  2. Institut für Informations-, Verarbeitung, Österreichische Akademie, der Wissenschaften, Sonnenfelsgasse 19, A-1010 Wien, Austria

Bibliography

  1. E. Bombieri, On exponential sums in finite fields, Amer. J. Math. 88 (1966), 71-105.
  2. T. Cochrane, On a trigonometric inequality of Vinogradov, J. Number Theory 27 (1987), 9-16.
  3. J. Eichenauer-Herrmann, Statistical independence of a new class of inversive congruential pseudorandom numbers, Math. Comp. 60 (1993), 375-384.
  4. C. J. Moreno and O. Moreno, Exponential sums and Goppa codes: I, Proc. Amer. Math. Soc. 111 (1991), 523-531.
  5. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Philadelphia, 1992.
  6. H. Niederreiter, New methods for pseudorandom number and pseudorandom vector generation, in: Proc. 1992 Winter Simulation Conference (Arlington, Va., 1992), IEEE Press, Piscataway, N.J., 1992, 264-269.
  7. H. Niederreiter, On a new class of pseudorandom numbers for simulation methods, J. Comput. Appl. Math., to appear.
Pages:
269-281
Main language of publication
English
Received
1993-12-13
Published
1994
Exact and natural sciences