Prof. Dr. Istvan A. Gaal

Profile

Academic positionFull Professor
Research fieldsAlgebra, Theory of Numbers, Algebraic Geometry
KeywordsDiophantische Gleichungen, Thue Gleichung, Indexformgleichung, Algorithmen zur Lösung

Current contact address

CountryHungary
CityDebrecen
InstitutionUniversity of Debrecen
InstituteDepartment of Algebra and Number Theory
Homepagewww.math.unideb.hu/~igaal

Host during sponsorship

Prof. Dr. Michael PohstLehrstuhl für Mathematikdidaktik und Mathematik, Heinrich-Heine-Universität Düsseldorf, Düsseldorf
Start of initial sponsorship01/11/1991

Programme(s)

1991Humboldt Research Fellowship Programme

Publications (partial selection)

2002Istvan A. Gaal: Diophantine Equations and Power Integral Bases, New Computationsal Methods. Birkhäuser, 2002
2002Istvan A. Gaal: On the Resolution of Resultant Type Equations. In: J. Symbolic Computation, 2002, 137-144
2002Istvan A. Gaal, Michael Pohst: On the resolution of relative Thue equations. In: Math. Computation, 2002, 429-440
2002G. Everest, Istvan A. Gaal, K. György, C. Röttger: On the spatial distribution of solutions of decomposable Form equations. In: Math. Comp., 2002, 633-648
2002Istvan A. Gaal, Peter Olajos, Michael Pohst: Power integral bases in orders of composits fields. In: Experimental Math. , 2002, 87-90
2001Istvan A. Gaal, Gabor Nyul: Computing all monogeneous mixed dihedral quartic extensions of a quadratic field. In: Journal de Theorie des Nombres de Bordeaux , 2001, 137-142
2001Istvan A. Gaal: Power Integral Bases in cubic Relative Extensions. In: Experimental Mathematics, 2001, 13-139
2000Istvan A. Gaal, Günter Lettl: A Parametric Family of Quintic Thue Equations II. In: Monatsh. Math., 2000, 29-35
2000Istvan A. Gaal, Michael Pohst: Computing Power Integral Bases in Quartic Relative Extensions. In: Journal of Number Theory, 2000, 201-219