I. Gaál

发表

Simultaneous Representation of Integers by a Pair of Ternary Quadratic Forms—With an Application to Index Form Equations in Quartic Number Fields

M. Pohst, A. Pethǒ, I. Gaál, 1996 .

The sum of two S-units being a perfect power in global function fields

M. Pohst, I. Gaál, 2013 .

On the resolution of inhomogeneous norm form equations in two dominating variables

I. Gaál, 1988 .

On the resolution of index form equations

A. Pethö, M. Pohst, I. Gaál, 1991, ISSAC '91.

Computing all power integral bases of cubic fields

I. Gaál, N. Schulte, 1989 .

Diophantine equations over global function fields I: The Thue equation

M. Pohst, I. Gaál, 2006 .

Index Form Equations in General

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

Index form equations in quintic fields

K. Gyory, I. Gaál, 1999 .

CALCULATING RELATIVE POWER INTEGRAL BASES IN TOTALLY COMPLEX QUARTIC EXTENSIONS OF TOTALLY REAL FIELDS

I. Gaál, 2020, JP Journal of Algebra, Number Theory and Applications.

On computing integral points of a Mordell curve over rational function fields in characteristic >3

M. Pohst, C. Fieker, I. Gaál, 2013 .

Quartic Fields

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

Thue Equations

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

Cubic Fields

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

Inhomogeneous norm form equations in two dominating variables over function fields

B. Brindza, I. Gaál, 1987 .

Power integral bases in cubic and quartic extensions of real quadratic fields

I. Gaál, L. Remete, 2020, Acta Scientiarum Mathematicarum.

Power integral bases in prime-power cyclotomic fields

I. Gaál, L. Robertson, 2006 .

Diophantine Equations and Power Integral Bases

I. Gaál, 2019 .

Computing all power integral bases in orders of totally real cyclic sextic number fields

István Gaál, I. Gaál, 1996, Math. Comput..

On the spatial distribution of solutions of decomposable form equations

István Gaál, G. Everest, Kálmán Györy, 2002, Math. Comput..

A Remark on Prime Divisors of Lengths of Sides of Heron Triangles

István Gaál, Florian Luca, István Járási, 2003, Exp. Math..

On the indices of biquadratic number fields having Galois groupV4

A. Pethö, M. Pohst, I. Gaál, 1991 .

Integral Bases and Monogenity of Composite Fields

István Gaál, László Remete, I. Gaál, 2018, Exp. Math..

On the resolution of relative Thue equations

István Gaál, Michael E. Pohst, M. Pohst, 2002, Math. Comput..

Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields

I. Gaál, G. Petrányi, 2014, 1810.00060.

Integral elements with given discriminant over function fields

I. Gaál, 1988 .

On the resolution of index form equations in biquadratic number fields, I

István Gaál, Michael E. Pohst, Attila Pethö, 1991 .

Calculating “Small” Solutions of Relative Thue Equations

István Gaál, I. Gaál, 2015, Exp. Math..

Calculating Power Integral bases by Solving Relative Thue Equations

Tímea Szabó, I. Gaál, László Remete, 2014, 1810.01820.

Solving resultant form equations over number fields

István Gaál, Michael E. Pohst, M. Pohst, 2008, Mathematics of Computation.

Computing all power integral bases in orders of totally real cyclic sextic number fields

I. Gaál, 1996, Math. Comput..

A Fast Algorithm for Finding "Small" Solutions of F(x, y)=G(x, y) over Imaginary Quadratic Fields

István Gaál, I. Gaál, 1993, J. Symb. Comput..

Auxiliary Results and Tools

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

Relative Thue Equations

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

On the Resolution of Resultant Type Equations

István Gaál, I. Gaál, 2002, J. Symb. Comput..

Inhomogeneous Thue Equations

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

The Resolution of Norm Form Equations

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

Computing Power Integral Bases in Quartic Relative Extensions

M. Pohst, I. Gaál, 2000 .

Quartic Relative Extensions

I. Gaál, 2019, Diophantine Equations and Power Integral Bases.

Diophantine Equations over Global Function Fields II: R-Integral Solutions of Thue Equations

István Gaál, Michael E. Pohst, M. Pohst, 2006, Exp. Math..

On the Resolution of Index Form Equations in Dihedral Quartic Number Fields

István Gaál, Michael E. Pohst, Attila Pethö, 1994, Exp. Math..

Application ot Thue Equations to Computing Power Integral Bases in Algebraic Number Fields

István Gaál, I. Gaál, 1996, ANTS.

On the Resolution of Index Form Equations in Biquadratic Number-Fields: III. The Bicyclic Biquadratic Case

A. Pethö, M. Pohst, I. Gaál, 1995 .

Diophantine equations over global function fields III: An application to resultant form equations

M. Pohst, I. Gaál, 2008 .

Power integral bases in parametric families of biquadratic fields

Tímea Szabó, I. Gaál, 2011 .

On the Resolution of Index form Equations in Sextic Fields with an Imaginary Quadratic Subfield

István Gaál, Michael E. Pohst, M. Pohst, 1996, J. Symb. Comput..

Power integral bases in orders of families of quartic fields

I. Gaál, 1993, Publicationes Mathematicae Debrecen.

Determining elements of minimal index in an infinite family of totally real bicyclic biquadratic number fields

I. Gaál, Borka Jadrijević, 2017 .

Computing all monogeneous mixed dihedral quartic extensions of a quadratic field

I. Gaál, Gábor Nyul, 2001 .