Siberian Mathematical Journal

, Volume 30, Issue 6, pp 915–925 | Cite as

Irreducible polynomials over a finite field

  • E. N. Kuz'min


Finite Field Irreducible Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    S. I. Gel'fand, “Irreducible polynomials over a finite field,” Usp. Mat. Nauk,24, No. 4, 193–194 (1969).Google Scholar
  2. 2.
    G. L. Watson, “Sums of eight values of a cubic polynomial,” J. London Math. Soc.,27, No. 2, 217–224 (1952).Google Scholar
  3. 3.
    L. Garlitz, “A theorem of Dickson on irreducible polynomials,” Proc. Am. Math. Soc.,3, No. 5, 693–700 (1952).Google Scholar
  4. 4.
    D. R. Hayes, “The distribution of irreducibles in GF[q, x],” Trans. Am. Math. Soc.,117, 101–127 (1965).Google Scholar
  5. 5.
    S. D. Cohen, “Uniform distribution of polynomials over finite fields,” J. London Math. Soc. Ser. 2,6, No. 1, 93–102 (1972).Google Scholar
  6. 6.
    S. A. Stepanov, “On the number of irreducible in Fq[x] polynomials of a special form,” Usp. Mat. Nauk,40, No. 4, 199–200 (1985).Google Scholar
  7. 7.
    S. Chowla, “A note on the construction of finite Galois fields GF(pn),” J. Math. Anal. Appl.,15, 53–54 (1966).Google Scholar
  8. 8.
    R. Ree, “Proof of a conjecture of S. Chowla,” J. Number Theory,3, No. 2, 210–212 (1971).Google Scholar
  9. 9.
    B. J. Birch and H. P. F. Swinnerton-Dyer, “Note on a problem of Chowla,” Act. Arithm.,5, 417–423 (1959).Google Scholar
  10. 10.
    P. A. Leonard, “On constructing quartic extensions of GF(p),” Norske Vid. Selsk. Forh. (Trondheim),40, 96–97 (1967).Google Scholar
  11. 11.
    K. S. Williams, “On two conjectures of Chowla,” Can. Math. Bull.,12, No. 5, 545–565 (1969).Google Scholar
  12. 12.
    S. Lang, Algebra, Addison-Wesley, MA (1965).Google Scholar
  13. 13.
    R. Lidl and H. Niederreiter, Finite Fields [Russian translation], Vol. 1, Mir, Moscow (1988).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • E. N. Kuz'min

There are no affiliations available

Personalised recommendations