Sommes d’exponentielles dans 2 h ( ( X ¯ ¹ ) )

Mireille Car

Acta Arithmetica (1992)

  • Volume: 62, Issue: 4, page 303-328
  • ISSN: 0065-1036

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Mireille Car. "Sommes d’exponentielles dans $_{2^h}((X¯¹))$." Acta Arithmetica 62.4 (1992): 303-328. <http://eudml.org/doc/206496>.

@article{MireilleCar1992,
author = {Mireille Car},
journal = {Acta Arithmetica},
keywords = {finite fields; Waring's problem; polynomial ring; exponential sums; Carlitz character},
language = {fre},
number = {4},
pages = {303-328},
title = {Sommes d’exponentielles dans $_\{2^h\}((X¯¹))$},
url = {http://eudml.org/doc/206496},
volume = {62},
year = {1992},
}

TY - JOUR
AU - Mireille Car
TI - Sommes d’exponentielles dans $_{2^h}((X¯¹))$
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 4
SP - 303
EP - 328
LA - fre
KW - finite fields; Waring's problem; polynomial ring; exponential sums; Carlitz character
UR - http://eudml.org/doc/206496
ER -

References

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  1. [1] M. Car, Sommes de puissances et d’irréductibles dans q [ X ] , Acta Arith. 44 (1984), 7-34. Zbl0498.12016
  2. [2] J. Cherly, Sommes d'exponentielles cubiques dans l'anneau des polynômes en une variable sur le corps à deux éléments, et application au problème de Waring, Thèse soutenue le 27 octobre 1989 à l'Université de Bordeaux I. Zbl0758.11041
  3. [3] D. R. Hayes, The expression of a polynomial as a sum of three irreducibles, Acta Arith. 11 (1966), 461-488. Zbl0151.03902
  4. [4] R. M. Kubota, Waring’s problem for q [ X ] , Dissertationes Math. 117 (1974). Zbl0298.12008
  5. [5] R. Lidl and H. Niederreiter, Introduction to Finite Fields and their Applications, Cambridge University Press, 1986. Zbl0629.12016
  6. [6] R. C. Vaughan, Some remarks on Weyl sums, in: Topics in Classical Number Theory, Budapest 1981, Colloq. Math. Soc. János Bolyai 34, Vol. II, North-Holland, 1984, 1585-1602. 

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