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On the Galois groups of cubics and trinomials
Author(s):
Phyllis
Lefton
Journal:
Bull. Amer. Math. Soc.
82
(1976),
754-756.
MSC (1970):
Primary 12A20, 12A55;
Secondary 10B05, 12A25
MathSciNet review:
0422228
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Additional information
References:
- 1.
- E. Artin, Theory of algebraic numbers, Lecture notes (Math. Inst., 1956/57), Striker, Gottingen, 1959. MR 24 #A1884. MR 132037
- 2.
- P. X. Gallagher, The large sieve and probabilistic Galois theory, Analytic Number Theory (Proc. Sympos. Pure Math., vol. 24), Amer. Math. Soc, Providence, R. I., 1973, pp. 91-101. MR 332694
- 3.
- R. L. Goodstein, The discriminant of a certain polynomial, Math. Gaz. 53 (1969), 60-61.
- 4.
- J. Heading, The discriminant of an equation of nth degree, Math. Gaz. 51 (1967), 324-326.
- 5.
- H. W. Knobloch, Zum Hilbertschen Irreduzibilitätssatz, Abh. Math. Sem. Univ. Hamburg 19 (1955), 176-190. MR 16, 798. MR 67923
- 6.
- P. Lefton, On the Galois groups of cubics and trinomials, Acta Arith.(to appear). MR 550295
- 7.
- D. W. Masser, The discriminants of special equations, Math. Gaz. 50 (1966), 158—160.
- 8.
- P. Samuel, Algebraic theory of numbers, Hermann, Paris, 1967; English transl., Houghton, Mifflin, Boston, 1970. MR 35 #6643; 42 #177. MR 265266
- 9.
- B. L. van der Waerden, Die Seltenheit der Gleichungen mit Affekt, Math. Ann. 109 (1934), 13-16. MR 1512878
- 10.
- B. L. van der Waerden, Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt, Monatsh. Math. 43 (1936), 137-147.
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14151-1
PII:
S 0002-9904(1976)14151-1
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