Sommes de cubes dans l’anneau 2 h [ X ]

Mireille Car; Jorgen Cherly

Acta Arithmetica (1993)

  • Volume: 65, Issue: 3, page 227-241
  • ISSN: 0065-1036

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Mireille Car, and Jorgen Cherly. "Sommes de cubes dans l’anneau $_{2^h}[X]$." Acta Arithmetica 65.3 (1993): 227-241. <http://eudml.org/doc/206576>.

@article{MireilleCar1993,
author = {Mireille Car, Jorgen Cherly},
journal = {Acta Arithmetica},
keywords = {Waring problem; sums of cubes; finite fields; polynomials},
language = {fre},
number = {3},
pages = {227-241},
title = {Sommes de cubes dans l’anneau $_\{2^h\}[X]$},
url = {http://eudml.org/doc/206576},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Mireille Car
AU - Jorgen Cherly
TI - Sommes de cubes dans l’anneau $_{2^h}[X]$
JO - Acta Arithmetica
PY - 1993
VL - 65
IS - 3
SP - 227
EP - 241
LA - fre
KW - Waring problem; sums of cubes; finite fields; polynomials
UR - http://eudml.org/doc/206576
ER -

References

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  1. [1] R. Ayoub, An Introduction to the Analytic Theory of Numbers, Math. Surveys 10, Amer. Math. Soc., 1963. Zbl0128.04303
  2. [2] M. Car, Sommes d’exponentielles dans ₂ h ( ( X - 1 ) ) , Acta Arith. 62 (1992), 303-328. 
  3. [3] M. Car, Sommes de carrés dans 𝔽[X], Dissertationes Math. 215 (1983). 
  4. [4] J. Cherly, Sommes d'exponentielles cubiques dans l'anneau des polynômes en une variable sur le corps à 2 éléments, et application au problème de Waring, thèse soutenue à l'Université de Bordeaux I, 1989. 
  5. [5] J. Cherly, Sommes d'exponentielles cubiques dans l'anneau des polynômes en une variable sur le corps à 2 éléments, et application au problème de Waring, Astérisque 200 (1991), 198-199. Zbl0758.11041
  6. [6] G. Effinger and D. Hayes, Additive Number Theory of Polynomials over a Finite Field, Oxford University Press, 1991. Zbl0759.11032
  7. [7] D. Hayes, The expression of a polynomial as a sum of three irreducibles, Acta Arith. 11 (1966), 461-488. Zbl0151.03902
  8. [8] L. K. Hua, On Waring's problem, Quart. J. Math. Oxford 9 (1938), 199-202. Zbl64.0124.04
  9. [9] R. M. Kubota, Waring’s problem for q [ X ] , Dissertationes Math. 215 (1983). 
  10. [10] L. N. Vaserstein, Waring's problem for commutative rings, J. Number Theory 26 (1987), 299-307. 
  11. [11] L. N. Vaserstein, Waring's problem for algebras over fields, J. Number Theory 26 (1987), 286-298. Zbl0624.10049

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