ArticleOriginal scientific text

Title

Polynomials with nontrivial relations between their roots

Authors 1

Affiliations

  1. Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6, Canada

Bibliography

  1. C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Wiley, New York, 1962.
  2. J. D. Dixon and B. Mortimer, Permutation Groups, Springer, New York, 1996.
  3. M. Drmota and M. Ska/lba, Relations between polynomial roots, Acta Arith. 71 (1995), 65-77.
  4. R. Ferguson, Irreducible polynomials with many roots of equal modulus, ibid. 78 (1997), 221-225.
  5. C. J. Smyth, Conjugate algebraic numbers on conics, ibid. 40 (1982), 333-346.
  6. C. J. Smyth, Additive and multiplicative relations connecting conjugate algebraic numbers, J. Number Theory 23 (1986), 243-254.
  7. N. Tschebotaröw, Grundzüge der Galoisschen Theorie (transl. and revised by H. Schwerdtfeger), Noordhoff, Groningen, 1950.
  8. B. L. van der Waerden, Modern Algebra, Vol. I, Ungar, New York, 1948.
  9. H. Wielandt, Finite Permutation Groups, Academic Press, New York, 1964.
Pages:
293-302
Main language of publication
English
Received
1996-12-23
Accepted
1997-06-13
Published
1997
Exact and natural sciences