Gaál, István; Remete, László On the monogenity of pure quartic relative extensions of \(\mathbb{Q}(i)\). (English) Zbl 07794399 Acta Sci. Math. 89, No. 3-4, 357-371 (2023). MSC: 11Y50 11R04 11R16 11R21 11D41 11D57 11Y40 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Acta Sci. Math. 89, No. 3--4, 357--371 (2023; Zbl 07794399) Full Text: DOI
Gaál, István Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields. (English) Zbl 07722750 Acta Sci. Math. 89, No. 1-2, 3-12 (2023). MSC: 11R04 11R16 11Y50 PDFBibTeX XMLCite \textit{I. Gaál}, Acta Sci. Math. 89, No. 1--2, 3--12 (2023; Zbl 07722750) Full Text: DOI arXiv
El Fadil, Lhoussain; Gaál, István Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9. (English) Zbl 1516.11101 Tatra Mt. Math. Publ. 83, 61-86 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} and \textit{I. Gaál}, Tatra Mt. Math. Publ. 83, 61--86 (2023; Zbl 1516.11101) Full Text: DOI
Gaál, István On the monogenity of certain binomial compositions. (English) Zbl 07602850 JP J. Algebra Number Theory Appl. 57, 1-16 (2022). Reviewer: Leonard Jones (Shippensburg) MSC: 11R04 11R09 11R16 11Y50 PDFBibTeX XMLCite \textit{I. Gaál}, JP J. Algebra Number Theory Appl. 57, 1--16 (2022; Zbl 07602850) Full Text: DOI
Gaál, István; Pohst, Michael E. On calculating the number \(N(D)\) of global cubic fields \(F\) of given discriminant \(D\). (English) Zbl 1493.11159 J. Number Theory 236, 479-491 (2022). Reviewer: Günter Lettl (Graz) MSC: 11Y40 11R16 11R58 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{M. E. Pohst}, J. Number Theory 236, 479--491 (2022; Zbl 1493.11159) Full Text: DOI
Gaál, István; Remete, László Power integral bases in cubic and quartic extensions of real quadratic fields. (English) Zbl 1449.11104 Acta Sci. Math. 85, No. 3-4, 413-429 (2019). MSC: 11R04 11D59 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Acta Sci. Math. 85, No. 3--4, 413--429 (2019; Zbl 1449.11104) Full Text: DOI arXiv
Gaál, István; Remete, László Integral bases and monogenity of composite fields. (English) Zbl 1490.11106 Exp. Math. 28, No. 2, 209-222 (2019). MSC: 11R04 11R16 11R21 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Exp. Math. 28, No. 2, 209--222 (2019; Zbl 1490.11106) Full Text: DOI arXiv
Gaál, István; Jadrijević, Borka; Remete, László Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields. (English) Zbl 1479.11054 Int. J. Number Theory 15, No. 1, 11-27 (2019). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11D59 11D57 PDFBibTeX XMLCite \textit{I. Gaál} et al., Int. J. Number Theory 15, No. 1, 11--27 (2019; Zbl 1479.11054) Full Text: DOI arXiv
Gaál, István; Remete, László Non-monogenity in a family of octic fields. (English) Zbl 1381.11102 Rocky Mt. J. Math. 47, No. 3, 817-824 (2017). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Rocky Mt. J. Math. 47, No. 3, 817--824 (2017; Zbl 1381.11102) Full Text: DOI arXiv Euclid
Gaál, István; Remete, László Binomial Thue equations and power integral bases in pure quartic fields. (English) Zbl 1295.11120 JP J. Algebra Number Theory Appl. 32, No. 1, 49-61 (2014). MSC: 11R16 11D59 11D25 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, JP J. Algebra Number Theory Appl. 32, No. 1, 49--61 (2014; Zbl 1295.11120) Full Text: arXiv Link
Fieker, Claus; Gaál, István; Pohst, Michael On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\). (English) Zbl 1309.11088 J. Number Theory 133, No. 2, 738-750 (2013). MSC: 11Y50 11D25 11D61 11G05 PDFBibTeX XMLCite \textit{C. Fieker} et al., J. Number Theory 133, No. 2, 738--750 (2013; Zbl 1309.11088) Full Text: DOI
Gaál, István; Szabó, Tímea Power integral bases in parametric families of biquadratic fields. (English) Zbl 1345.11074 JP J. Algebra Number Theory Appl. 24, No. 1, 105-114 (2012). MSC: 11R16 11D59 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{T. Szabó}, JP J. Algebra Number Theory Appl. 24, No. 1, 105--114 (2012; Zbl 1345.11074) Full Text: Link
Gaál, István; Szabó, Tímea A note on the minimal indices of pure cubic fields. (English) Zbl 1220.11135 JP J. Algebra Number Theory Appl. 19, No. 2, 129-139 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11R16 11Y40 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{T. Szabó}, JP J. Algebra Number Theory Appl. 19, No. 2, 129--139 (2010; Zbl 1220.11135) Full Text: Link
Gaál, István; Pohst, Michael Computing power integral bases in quartic relative extensions. (English) Zbl 0993.11055 J. Number Theory 85, No. 2, 201-219 (2000). Reviewer: N.Tzanakis (Iraklion) MSC: 11R16 11R21 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{M. Pohst}, J. Number Theory 85, No. 2, 201--219 (2000; Zbl 0993.11055) Full Text: DOI Link
Gaál, István Application of Thue equations to computing power integral bases in algebraic number fields. (English) Zbl 0891.11062 Cohen, Henri (ed.), Algorithmic number theory. Second international symposium, ANTS-II, Talence, France, May 18-23, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1122, 151-155 (1996). Reviewer: Nigel Smart (Bristol) MSC: 11Y40 11Y50 11D41 PDFBibTeX XMLCite \textit{I. Gaál}, Lect. Notes Comput. Sci. 1122, 151--155 (1996; Zbl 0891.11062)
Gaál, István; Pethö, Attila; Pohst, Michael On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. (English) Zbl 0853.11026 J. Number Theory 53, No. 1, 100-114 (1995). Reviewer: J.-H.Evertse (Leiden) MSC: 11D99 11Y40 11R16 11R80 PDFBibTeX XMLCite \textit{I. Gaál} et al., J. Number Theory 53, No. 1, 100--114 (1995; Zbl 0853.11026) Full Text: DOI
Gaál, István; Pethö, Attila; Pohst, Michael On the resolution of index form equations in dihedral quartic number fields. (English) Zbl 0823.11074 Exp. Math. 3, No. 3, 245-254 (1994). Reviewer: J.-H.Evertse (Leiden) MSC: 11Y40 11D72 11R16 11B37 PDFBibTeX XMLCite \textit{I. Gaál} et al., Exp. Math. 3, No. 3, 245--254 (1994; Zbl 0823.11074) Full Text: DOI Euclid EuDML EMIS
Gaál, István; Pethö, Attila; Pohst, Michael On the resolution of index form equations in quartic number fields. (English) Zbl 0808.11023 J. Symb. Comput. 16, No. 6, 563-584 (1993). Reviewer: N.Tzanakis (Iraklion) MSC: 11D25 11R16 11Y40 PDFBibTeX XMLCite \textit{I. Gaál} et al., J. Symb. Comput. 16, No. 6, 563--584 (1993; Zbl 0808.11023) Full Text: DOI Link
Gaál, I.; Pethö, A.; Pohst, M. On the indices of biquadratic number fields having Galois group \(V_ 4\). (English) Zbl 0724.11049 Arch. Math. 57, No. 4, 357-361 (1991). Reviewer: István Gaál (Debrecen) MSC: 11R16 PDFBibTeX XMLCite \textit{I. Gaál} et al., Arch. Math. 57, No. 4, 357--361 (1991; Zbl 0724.11049) Full Text: DOI