@article{bwmeta1.element.bwnjournal-article-aav82i3p293bwm, author = {John D. Dixon}, title = {Polynomials with nontrivial relations between their roots}, journal = {Acta Arithmetica}, volume = {80}, year = {1997}, pages = {293-302}, zbl = {0881.12001}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav82i3p293bwm} }
John D. Dixon. Polynomials with nontrivial relations between their roots. Acta Arithmetica, Tome 80 (1997) pp. 293-302. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav82i3p293bwm/
[000] [1] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Wiley, New York, 1962.
[001] [2] J. D. Dixon and B. Mortimer, Permutation Groups, Springer, New York, 1996. | Zbl 0951.20001
[002] [3] M. Drmota and M. Ska/lba, Relations between polynomial roots, Acta Arith. 71 (1995), 65-77.
[003] [4] R. Ferguson, Irreducible polynomials with many roots of equal modulus, ibid. 78 (1997), 221-225. | Zbl 0867.11012
[004] [5] C. J. Smyth, Conjugate algebraic numbers on conics, ibid. 40 (1982), 333-346. | Zbl 0431.12001
[005] [6] C. J. Smyth, Additive and multiplicative relations connecting conjugate algebraic numbers, J. Number Theory 23 (1986), 243-254. | Zbl 0586.12001
[006] [7] N. Tschebotaröw, Grundzüge der Galoisschen Theorie (transl. and revised by H. Schwerdtfeger), Noordhoff, Groningen, 1950. | Zbl 0037.14602
[007] [8] B. L. van der Waerden, Modern Algebra, Vol. I, Ungar, New York, 1948.
[008] [9] H. Wielandt, Finite Permutation Groups, Academic Press, New York, 1964.