Sommes d’un carré et d’un polynôme irréductible dans I F q X

Mireille Car

Annales de la Faculté des sciences de Toulouse : Mathématiques (1984)

  • Volume: 6, Issue: 3-4, page 185-213
  • ISSN: 0240-2963

How to cite

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Car, Mireille. "Sommes d’un carré et d’un polynôme irréductible dans $IF_q \left[X\right]$." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.3-4 (1984): 185-213. <http://eudml.org/doc/73164>.

@article{Car1984,
author = {Car, Mireille},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {sum of square of polynomial and irreducible polynomial over finite field; estimation of number of representations},
language = {fre},
number = {3-4},
pages = {185-213},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Sommes d’un carré et d’un polynôme irréductible dans $IF_q \left[X\right]$},
url = {http://eudml.org/doc/73164},
volume = {6},
year = {1984},
}

TY - JOUR
AU - Car, Mireille
TI - Sommes d’un carré et d’un polynôme irréductible dans $IF_q \left[X\right]$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1984
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 3-4
SP - 185
EP - 213
LA - fre
KW - sum of square of polynomial and irreducible polynomial over finite field; estimation of number of representations
UR - http://eudml.org/doc/73164
ER -

References

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  1. [1] M. Car. «Sommes de carrés et d'irréductibles dans IFq[X]». Annales Faculté des Sciences de Toulouse, Vol. III, 1981, pp. 129-166. Zbl0493.12021
  2. [2] G.H. Hardy & J.E. Littlewood. «Some problems of partitio numerorum : III : On the expression of a large number as sums of squares, higher powers and primes». Acta Math., 44,1923, pp. 1-70. Zbl48.0143.04JFM48.0143.04
  3. [3] G.H. Hardy & E.M. Wright. «The theory of numbers». Oxford, at the Clarendon Press. Zbl0020.29201
  4. [4] D.R. Hayes. «The expression of a polynomial as the sum of three irreductibles». Acta Arith., 11, 1966, pp. 461-488. Zbl0151.03902
  5. [5] R.J. Miech. «On the equation n = x2+p». Trans, Amer. Math. Soc., 130, 1968, pp. 494-512. Zbl0164.35202
  6. [6] M. Mignotte. «Comptes rendus des journées de Théorie Analytique et Elémentaire des nombres». Limoges, 10-11 mars 1980. 
  7. [7] J.P. Serre. «Corps locaux». Hermann, Paris. Zbl0137.02601MR354618
  8. [8] A. Weil. «Basic number theory». Springer-Verlag, Berlin. 

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