István Gaál

1.0k total citations
66 papers, 591 citations indexed

About

István Gaál is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Artificial Intelligence. According to data from OpenAlex, István Gaál has authored 66 papers receiving a total of 591 indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Geometry and Topology, 32 papers in Computational Theory and Mathematics and 20 papers in Artificial Intelligence. Recurrent topics in István Gaál's work include Algebraic Geometry and Number Theory (49 papers), Polynomial and algebraic computation (30 papers) and Coding theory and cryptography (18 papers). István Gaál is often cited by papers focused on Algebraic Geometry and Number Theory (49 papers), Polynomial and algebraic computation (30 papers) and Coding theory and cryptography (18 papers). István Gaál collaborates with scholars based in Hungary, Germany and Slovakia. István Gaál's co-authors include Michael Pohst, A. Pethö, Kálmán Győry, Attila Pethő, Günter Lettl, Yuri Bilu, Florian Luca, Claus Fieker, Lhoussain El Fadil and Graham Everest and has published in prestigious journals such as Mathematics of Computation, Mathematics and Journal of Number Theory.

In The Last Decade

István Gaál

58 papers receiving 522 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
István Gaál Hungary	15	533	214	182	172	125	66	591
Marc Hindry France	7	476 0.9×	152 0.7×	74 0.4×	170 1.0×	212 1.7×	13	534
Michael A. Bennett Canada	14	422 0.8×	125 0.6×	62 0.3×	315 1.8×	179 1.4×	60	549
Gisbert Wüstholz Switzerland	13	423 0.8×	168 0.8×	65 0.4×	195 1.1×	223 1.8×	21	535
Enric Nart Spain	13	454 0.9×	161 0.8×	159 0.9×	171 1.0×	115 0.9×	46	510
M. Ram Murty Canada	12	334 0.6×	50 0.2×	99 0.5×	292 1.7×	131 1.0×	41	483
Yuri Bilu France	13	441 0.8×	152 0.7×	62 0.3×	225 1.3×	212 1.7×	44	532
Jürgen Klüners Germany	12	311 0.6×	146 0.7×	151 0.8×	152 0.9×	148 1.2×	30	444
Horst G. Zimmer Germany	9	212 0.4×	114 0.5×	56 0.3×	122 0.7×	73 0.6×	33	309
Jan‐Hendrik Evertse Netherlands	16	587 1.1×	256 1.2×	107 0.6×	398 2.3×	283 2.3×	56	839
Pietro Corvaja Italy	13	419 0.8×	126 0.6×	51 0.3×	238 1.4×	174 1.4×	57	532

Countries citing papers authored by István Gaál

Since Specialization

Citations

This map shows the geographic impact of István Gaál's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by István Gaál with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites István Gaál more than expected).

Fields of papers citing papers by István Gaál

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by István Gaál. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by István Gaál. The network helps show where István Gaál may publish in the future.

Co-authorship network of co-authors of István Gaál

This figure shows the co-authorship network connecting the top 25 collaborators of István Gaál. A scholar is included among the top collaborators of István Gaál based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with István Gaál. István Gaál is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Fadil, Lhoussain El & István Gaál. (2025). On the Monogenity of Quartic Number Fields Defined by x4 + ax2 + b. Mathematics. 13(6). 905–905.

Gaál, István. (2023). Calculating generators of power integral bases in pure sextic fields. Functiones et Approximatio Commentarii Mathematici. 70(1). 1 indexed citations

Fadil, Lhoussain El & István Gaál. (2023). Integral Bases and Monogenity of Pure Number Fields with Non-Square Free Parameters up to Degree 9. Tatra Mountains Mathematical Publications. 83(1). 61–86. 2 indexed citations

Gaál, István. (2023). ON THE MONOGENITY OF TOTALLY COMPLEX PURE SEXTIC FIELDS. 60(2). 85–96. 1 indexed citations

Gaál, István, et al.. (2019). On computing integral points of a Mordell curve – the method of Wildanger revisited. Experimental Mathematics. 30(1). 127–134.

Gaál, István, et al.. (2016). Integral bases and monogenity of pure fields. Journal of Number Theory. 173. 129–146. 41 indexed citations

Fieker, Claus, István Gaál, & Michael Pohst. (2012). On computing integral points of a Mordell curve over rational function fields in characteristic >3. Journal of Number Theory. 133(2). 738–750. 3 indexed citations

Gaál, István & Michael Pohst. (2005). Diophantine equations over global function fields I: The Thue equation. Journal of Number Theory. 119(1). 49–65. 10 indexed citations

Gaál, István, et al.. (2003). A Remark on Prime Divisors of Lengths of Sides of Heron Triangles. Experimental Mathematics. 12(3). 303–310. 3 indexed citations

10.

Gaál, István. (2000). Solving Index Form Equations in Fields of Degree 9 with Cubic Subfields. Journal of Symbolic Computation. 30(2). 181–193. 7 indexed citations

11.

Gaál, István & Michael Pohst. (2000). Computing Power Integral Bases in Quartic Relative Extensions. Journal of Number Theory. 85(2). 201–219. 9 indexed citations

12.

Gaál, István, Attila Pethő, & Michael Pohst. (1996). Simultaneous Representation of Integers by a Pair of Ternary Quadratic Forms—With an Application to Index Form Equations in Quartic Number Fields. Journal of Number Theory. 57(1). 90–104. 23 indexed citations

13.

Gaál, István & Michael Pohst. (1996). On the Resolution of Index Form Equations in Sextic Fields with an Imaginary Quadratic Subfield. Journal of Symbolic Computation. 22(4). 425–434. 16 indexed citations

14.

Gaál, István, A. Pethö, & Michael Pohst. (1995). On the Resolution of Index Form Equations in Biquadratic Number-Fields. Journal of Number Theory. 53(1). 100–114. 19 indexed citations

15.

Gaál, István. (1995). Computing Elements of given Index in Totally Complex Cyclic Sextic Fields. Journal of Symbolic Computation. 20(1). 61–69. 14 indexed citations

16.

Gaál, István, Attila Pethő, & Michael Pohst. (1993). On the resolution of index form equations in quartic number fields. Journal of Symbolic Computation. 16(6). 563–584. 25 indexed citations

17.

Gaál, István. (1993). A fast algorithm for finding "small" solutions of F(x,y)=G(x,y) over imaginary quadratic fields. Journal of Symbolic Computation. 16(4). 321–328. 1 indexed citations

18.

Gaál, István, A. Pethö, & Michael Pohst. (1991). On the resolution of index form equations in biquadratic number fields, I. Journal of Number Theory. 38(1). 18–34. 26 indexed citations

19.

Gaál, István, A. Pethö, & Michael Pohst. (1991). On the resolution of index form equations in biquadratic number fields, II. Journal of Number Theory. 38(1). 35–51. 8 indexed citations

20.

Gaál, István. (1988). On the resolution of inhomogeneous norm form equations in two dominating variables. Mathematics of Computation. 51(183). 359–373. 6 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact