Statistiques sur 𝔽 q [ X ]

M. Mignotte; J. L. Nicolas

Annales de l'I.H.P. Probabilités et statistiques (1983)

  • Volume: 19, Issue: 2, page 113-121
  • ISSN: 0246-0203

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Mignotte, M., and Nicolas, J. L.. "Statistiques sur $\mathbb {F}_q [X]$." Annales de l'I.H.P. Probabilités et statistiques 19.2 (1983): 113-121. <http://eudml.org/doc/77204>.

@article{Mignotte1983,
author = {Mignotte, M., Nicolas, J. L.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {polynomial of higher degree; coefficients in finite field; degree of splitting field; logarithm of degree},
language = {fre},
number = {2},
pages = {113-121},
publisher = {Gauthier-Villars},
title = {Statistiques sur $\mathbb \{F\}_q [X]$},
url = {http://eudml.org/doc/77204},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Mignotte, M.
AU - Nicolas, J. L.
TI - Statistiques sur $\mathbb {F}_q [X]$
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 2
SP - 113
EP - 121
LA - fre
KW - polynomial of higher degree; coefficients in finite field; degree of splitting field; logarithm of degree
UR - http://eudml.org/doc/77204
ER -

References

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  1. [Ber] E.R. Berlekamp, Algebraic coding theory, Mc Graw Hill, New York, 1968. Zbl0988.94521MR238597
  2. [Best] M.R. Best, The distribution of some variables on symmetric groups, Nederl. Akademie Wetens. Proc., ser. A, t. 73, n° 5, 1970, p. 385-402. Zbl0208.03303MR292922
  3. [Bru] N.G. De Bruijn, On the number of positive integers ≤ x and free of prime factors &gt; y. I, Nederl. Akad. Wetensch. Proc. ser. A, t. 54, 1951, p. 50-60. Zbl0042.04204MR46375
  4. [Car] L. Carlitz, Some topics in the arithmetic of polynomials, Bull. Amer. Math. Soc., t. 48, 1942, p. 679-691. Zbl0063.00708MR6744
  5. [Erd1] P. Erdös and P. Turan, On some problems of a statistical group-theory I. Zeit. f. Wahrscheinlichkeitstheorie und verw. Gebiete, t. 4, 1965, p. 175-186. Zbl0137.25602MR184994
  6. [Erd2] P. Erdös, Some unconventional problems in number theory, Astérisque, t. 61, 1979, p. 73-82. Zbl0399.10001MR556666
  7. [Har] G.H. Hardy and E.M. Wright, An introduction to the theory of numbers, 4th ed. Oxford, at the Clarendon Press, 1960. Zbl0086.25803MR568909
  8. [Kno] J. Knopfmacher, Analytic arithmetic of algebraic function fields, Marcel Kekker inc., 1979, Lecture Notes in pure and applied mathematics, vol. 50. Zbl0411.10001MR545904
  9. [Mc. E] R.J. Mc Eliece, Factorization of polynomials over finite fields, Math. of Comp., t. 23, n° 108, 1969, p. 861-868. Zbl0185.11301MR257039
  10. [Nic 1] J.L. Nicolas, Ordre maximal d'un élément du groupe Sn des permutations et « highly composite numbers », Bull. Soc. Math. France, t. 97, 1969, p. 129-191. Zbl0184.07202MR254130
  11. [Nic 2] J.L. Nicolas, Statistiques sur le groupe symétrique, Séminaire Delange-Pisot-Poitou (théorie des nombres), 13e année, 1971–1972, n° G2, 6 p. Zbl0346.20003MR414503

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