Sommes de carrés et d’irréductibles dans I F q X

Mireille Car

Annales de la Faculté des sciences de Toulouse : Mathématiques (1981)

  • Volume: 3, Issue: 2, page 129-166
  • ISSN: 0240-2963

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Car, Mireille. "Sommes de carrés et d’irréductibles dans $IF_q \left[X\right]$." Annales de la Faculté des sciences de Toulouse : Mathématiques 3.2 (1981): 129-166. <http://eudml.org/doc/73119>.

@article{Car1981,
author = {Car, Mireille},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {circle method; polynomials; finite field},
language = {fre},
number = {2},
pages = {129-166},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Sommes de carrés et d’irréductibles dans $IF_q \left[X\right]$},
url = {http://eudml.org/doc/73119},
volume = {3},
year = {1981},
}

TY - JOUR
AU - Car, Mireille
TI - Sommes de carrés et d’irréductibles dans $IF_q \left[X\right]$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1981
PB - UNIVERSITE PAUL SABATIER
VL - 3
IS - 2
SP - 129
EP - 166
LA - fre
KW - circle method; polynomials; finite field
UR - http://eudml.org/doc/73119
ER -

References

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  1. [1] R. Ayoub. «An introduction to the analytic theory of numbers». Mathematical Surveys n° 10, Amer. Math. Soc. Zbl0128.04303MR160743
  2. [2] M. Car. «Le problème de Waring pour l'anneau des polynômes sur un corps fini». C.R.A.S., Paris, Série A et B, 273, (1971). Zbl0221.10060MR282937
  3. [3] L. Carlitz. «On the representations of a polynomial on a Galois field as the sum of an even number of squares». Trans. Amer. Math. Soc., 35, (1933), pp. 397-410. Zbl0006.38901MR1501692
  4. [4] L. Carlitz. «On the representations of a polynomial on a Galois field as the sum of an odd number of squares». Duke Math. Jour., 1, (1935), pp. 298-315. Zbl0012.19305JFM61.0126.02
  5. [5] L. Carlitz. «Sums of squares of polynomials». Duke Math Jour., 3, (1937), pp. 1-7. Zbl0016.14802MR607JFM63.0104.01
  6. [6] L. Carlitz. «The singular series for sums of squares of polynomials»Duke Math. Jour., 14, (1947), pp. 1105-1120. Zbl0032.00204MR23304
  7. [7] L. Carlitz. «A note on sums of three squares in GF [q,x] ». Mathematics Magazine, 48, (1975), pp. 109-110. Zbl0313.10046MR360539
  8. [8] Eckford-Cohen. «Sums of an even numbers of squares in GF[pn,x] , I». Duke Math. Jour., 14, (1947), pp. 251-267. Zbl0030.10401MR21571
  9. [9] Eckford-Cohen. «Sums of an even number of squares in GF[pn,x] , II». Duke Math. Jour., 14, (1947), pp. 543-557. Zbl0030.10402MR22233
  10. [10] Ellison & Mendes-France. «Les nombres premiers». Hermann, Paris. 
  11. [11] D.R. Hayes. «The expression of a polynomial as the sum of three irreducibles». Acta. Arith., 11, (1966), pp. 461-488. Zbl0151.03902MR201422
  12. [12] K. Prachar. «Primzahlverteilung». Springer-Verlag, Berlin. 
  13. [13] G. Rhin. «Répartition modulo 1 dans un corps de séries formelles sur un corps fini». Thèse soutenue à l'Université de Paris VI, (1971 ). Zbl0252.10036MR349612
  14. [14] G. Rhin. « Répartition modulo 1 dans un corps de séries formelles sur un corps fini». Dissertationes mathematicae, (1972). Zbl0252.10036MR349612
  15. [15] W. Webb. «Waring's problem in GF[q,x] ». Acta. Arith., 22, (1972), pp. 207-220. Zbl0258.12014MR313190
  16. [16] W. Webb. «On the representation of polynomials over finite fields as sums of powers and irreducibles». Rocky Mountain J. Math., 3, (1973), pp. 23-29. Zbl0258.10028MR347784

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