Index form equations,
power integral bases

Surveys

I.Gaál, Integral elements with given discriminant, XVI. Steiermärkisch Mathematischen Symposium, Bericht Nr. 272, (1986), 1--12.

I.Gaál, On the computer resolution of index form equations, in "Algebra and Number Theory", ed. by A.Grytzuk, Pedagogical University, Zielona G\'ora, 1990, pp.21--27.

I.Gaál, On the resolution of some diophantine equations, in "Computational Number Theory", ed. by A.Pethö, M.E.Pohst, H.C.Williams and H.G.Zimmer, Walter de Gruyter, Berlin--New York 1991, pp.261--280.

I.Gaál, A.Pethö and M.Pohst, On the resolution of index form equations, Proc. of the 1991 International Symposium on Symbolic and Algebraic Computation, ed. by Stephen M. Watt, ACM Press, 1991, pp. 185-186.

I.Gaál, Application of Thue equations to computing power integral bases in algebraic number fields, Proc. Conf. ANTS II, Talence, France, 1996. Lecture Notes in Computer Science 1122, Springer 1996, pp. 151--155.

I.Gaál, Algorithms for the computation of power integral bases in algebraic number fields, ISSAC'96 Poster Session Abstracts, Zürich, pp. 29--32.

I.Gaál, Computing power integral bases in algebraic number fields, Proc. Conf. Number Theory Eger, Hungary, 1996. In: Number Theory, Walter de Gruyter, 1998, pp. 243--254.

I.Gaál, Computing power integral bases in algebraic number fields II, Algebraic number theory and diophantine analysis, Proc. Conf. Graz, 1998, ed. F.Halter-Koch and R.F.Tichy, Walter de Gruyter, 2000, pp. 153-161.

I.Gaál, Diophantine Equations and Power Integral Bases, New Computational Methods, Birkhauser Boston, 2002.