diophantine equations, effective methods, algorithms, power integral bases, elements of minimal index,
Thue equations, index form equations, norm form equations, resultant form equations

research field in which current research is conducted

mathematics and computing

Publications

2017

from data base, 2018. I. 02.

Gaál István, Remete László: Integral bases and monogenity of pure fields, JOURNAL OF NUMBER THEORY 173: pp. 129-146. type of document: Journal paper/Article language: English DOI

2015

from data base, 2018. I. 02.

Gaál István: Calculating "small" solutions of relative Thue equations, EXPERIMENTAL MATHEMATICS 24: (2) pp. 142-149. type of document: Journal paper/Article language: English DOI

2014

from data base, 2018. I. 02.

Gaál István, Petrányi Gábor: Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields, CZECHOSLOVAK MATHEMATICAL JOURNAL 64: (2) pp. 465-475. type of document: Journal paper/Article language: English DOI

2013

from data base, 2018. I. 02.

Gaál István, Szabó Tímea: Relative power integral bases in infinite families of quartic extensions of quadratic field, JP JOURNAL OF ALGEBRA, NUMBER THEORY AND APPLICATIONS 29: pp. 31-43. type of document: Journal paper/Article language: English URL

2013

from data base, 2018. I. 02.

C Fieker, Gaál István, M.Pohst: On computing integral points of a Mordell curve over rational function fields in characteristic > 3, JOURNAL OF NUMBER THEORY 133: pp. 738-750. type of document: Journal paper/Article language: English

2002

from data base, 2018. I. 02.

Gaál István : Diophantine Equations and Power Integral Bases, Boston; Basel; Berlin: Birkhauser Boston, 184 p. type of document: Book/Monography number of independent citations: 24 language: English

1999

from data base, 2018. I. 02.

Gaál I, Győry K: Index form equations in quintic fields, ACTA ARITHMETICA 89: pp. 379-396. type of document: Journal paper/Article number of independent citations: 14 language: English

1996

from data base, 2018. I. 02.

Pohst M, Gaál I, Pethő A: Simultaneous representation of integers by a pair of ternary quadratic forms, JOURNAL OF NUMBER THEORY 57: (1) pp. 90-104. type of document: Journal paper/Article number of independent citations: 20 language: English DOI

1995

from data base, 2018. I. 02.

Pohst M, Gaál I, Pethő A: On the resolution of index form equations in biquadratic number fields III., JOURNAL OF NUMBER THEORY 53: (1) pp. 100-114. type of document: Journal paper/Article number of independent citations: 19 language: English DOI

1989

from data base, 2018. I. 02.

Gaál István, N.Schulte: Computing all power integral bases of cubic fields, MATHEMATICS OF COMPUTATION 53: pp. 689-696. type of document: Journal paper/Article number of independent citations: 27 language: English

Number of independent citations to these publications:

2019. I. 10. ODT ülés Az ODT következő ülésére 2019. február 22-én 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).