Index
form equations,
power integral bases
in
quartic fields
I.Gaál, A.Pethö and M.Pohst, On the resolution of index form equations in biquadratic number fields, I, J.Number Theory, 38,(1991), 18-34.
I.Gaál, A.Pethö and M.Pohst, On the resolution of index form equations in biquadratic number fields, II, J.Number Theory, 38,(1991), 35-51.
I.Gaál, A.Pethö and M.Pohst, On the indices of biquadratic number fields having Galois group $V_4$ , Archiv der Math., 57 (1991), 357-361.
I.Gaál, Power integral bases in orders of families of quartic fields, Publ.Math. (Debrecen), 42(1993), 253-263.
I.Gaál, A.Pethö and M.Pohst, On the resolution of index form equations in biquadratic number fields, III. The bicyclic biquadratic case, J.Number Theory, 53(1995), 100-114.
I.Gaál, A.Pethö and M.Pohst, On the resolution of index form equations in quartic number fields, J.Symbolic Computation, 16(1993), 563-584.
I.Gaál, A.Pethö and M.Pohst, On the resolution of index form equations in dihedral quartic number fields, J. Experimental Math., 3(1994), 245-254.
I.Gaál, A.Pethö and M.Pohst, Simultaneous representation of integers by a pair of ternary quadratic forms -- with an application to index form equations in quartic number fields, J.Number Theory, 57(1996), 90-104.
I.Gaál
and G.Nyul, Computing all monogeneous dihedral quartic extensions of a
quadratic field, J.Theorie Nombres
Bordeaux, 13(2001), 137-142.
G.
Nyul, Power integral bases in totally complex biquadratic number fields, Acta
Academie Paedagogicae Agriensis, Sectio Mathematicae, 28 (2001), 79-86.
I.Gaál
and G. Nyul, Index form equations in biquadratic fields: the p-adic case, manuscript.
G.
Nyul, The field index of some well-known families of fields: pure cubic and
simplest quartic fields, manuscript.