Bounds for exponential sums and their applications to pseudorandom numbers

Jürgen Eichenauer-Herrmann; Harald Niederreiter

Acta Arithmetica (1994)

  • Volume: 67, Issue: 3, page 269-281
  • ISSN: 0065-1036

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Jürgen Eichenauer-Herrmann, and Harald Niederreiter. "Bounds for exponential sums and their applications to pseudorandom numbers." Acta Arithmetica 67.3 (1994): 269-281. <http://eudml.org/doc/206631>.

@article{JürgenEichenauer1994,
author = {Jürgen Eichenauer-Herrmann, Harald Niederreiter},
journal = {Acta Arithmetica},
keywords = {upper bound; exponential sums; Bombieri-Weil bound; incomplete exponential sums},
language = {eng},
number = {3},
pages = {269-281},
title = {Bounds for exponential sums and their applications to pseudorandom numbers},
url = {http://eudml.org/doc/206631},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Jürgen Eichenauer-Herrmann
AU - Harald Niederreiter
TI - Bounds for exponential sums and their applications to pseudorandom numbers
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 3
SP - 269
EP - 281
LA - eng
KW - upper bound; exponential sums; Bombieri-Weil bound; incomplete exponential sums
UR - http://eudml.org/doc/206631
ER -

References

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  1. [1] E. Bombieri, On exponential sums in finite fields, Amer. J. Math. 88 (1966), 71-105. Zbl0171.41504
  2. [2] T. Cochrane, On a trigonometric inequality of Vinogradov, J. Number Theory 27 (1987), 9-16. Zbl0629.10030
  3. [3] J. Eichenauer-Herrmann, Statistical independence of a new class of inversive congruential pseudorandom numbers, Math. Comp. 60 (1993), 375-384. Zbl0795.65002
  4. [4] C. J. Moreno and O. Moreno, Exponential sums and Goppa codes: I, Proc. Amer. Math. Soc. 111 (1991), 523-531. Zbl0716.94010
  5. [5] H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Philadelphia, 1992. 
  6. [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. Zbl0849.11055
  7. [7] H. Niederreiter, On a new class of pseudorandom numbers for simulation methods, J. Comput. Appl. Math., to appear. Zbl0823.65010

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