EUDML | Discriminants of number fields defined by trinomials

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Displaying similar documents to “Discriminants of number fields defined by trinomials”

Decomposition of primes in number fields defined by trinomials

P. Llorente, E. Nart, N. Vila (1991)

Journal de théorie des nombres de Bordeaux

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In this paper we deal with the problem of finding the prime-ideal decomposition of a prime integer in a number field $K$ defined by an irreducible trinomial of the type $X^{p^{m}} + A X + B \in ℤ [X]$ , in terms of $A$ and $B$ . We also compute effectively the discriminant of $K$ .

Explicit decomposition of a rational prime in a cubic field.

Alaca, Şaban, Spearman, Blair K., Williams, Kenneth S. (2006)

International Journal of Mathematics and Mathematical Sciences

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On a theorem of Bauer and some of its applications

Andrzej Schinzel (1966)

Acta Arithmetica

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Note on the cubic residues

Stanislav Jakubec (1997)

Acta Mathematica et Informatica Universitatis Ostraviensis

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Solution of small class number problems for cyclotomic fields

John Myron Masley (1976)

Compositio Mathematica

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Fields containing values of algebraic functions

R. Dvornicich, U. Zannier (1994)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Hasse Principles in algebraic equations

Masahiko Fujiwara (1973)

Acta Arithmetica

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On the common index divisors of a dihedral field of prime degree.

Spearman, Blair K., Williams, Kenneth S., Yang, Qiduan (2007)

International Journal of Mathematics and Mathematical Sciences

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