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 On the monogenity of totally complex pure sextic fields. (English) Zbl 07727232 JP J. Algebra Number Theory Appl. 60, No. 2, 85-96 (2023). MSC: 11Y50 11R04 PDFBibTeX XMLCite \textit{I. Gaál}, JP J. Algebra Number Theory Appl. 60, No. 2, 85--96 (2023; Zbl 07727232) 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 An experiment on the monogenity of a family of trinomials. (English) Zbl 1499.11318 JP J. Algebra Number Theory Appl. 51, No. 1, 97-111 (2021). MSC: 11R04 11R21 11D59 11Y50 PDFBibTeX XMLCite \textit{I. Gaál}, JP J. Algebra Number Theory Appl. 51, No. 1, 97--111 (2021; Zbl 1499.11318) Full Text: DOI
Gaál, István Monogenity in totally complex sextic fields, revisited. (English) Zbl 1499.11332 JP J. Algebra Number Theory Appl. 47, No. 1, 87-98 (2020). MSC: 11R21 11D59 11Y50 PDFBibTeX XMLCite \textit{I. Gaál}, JP J. Algebra Number Theory Appl. 47, No. 1, 87--98 (2020; Zbl 1499.11332) Full Text: arXiv Link
Gaál, István Calculating relative power integral bases in totally complex quartic extensions of totally real fields. (English) Zbl 1490.11121 JP J. Algebra Number Theory Appl. 44, No. 2, 129-157 (2019). MSC: 11Y50 11R04 11D57 11D59 PDFBibTeX XMLCite \textit{I. Gaál}, JP J. Algebra Number Theory Appl. 44, No. 2, 129--157 (2019; Zbl 1490.11121) Full Text: DOI arXiv
Gaál, István Diophantine equations and power integral bases. Theory and algorithms. 2nd edition. (English) Zbl 1465.11090 Cham: Birkhäuser (ISBN 978-3-030-23864-3/hbk; 978-3-030-23867-4/pbk; 978-3-030-23865-0/ebook). xxii, 326 p. (2019). Reviewer: Andrej Dujella (Zagreb) MSC: 11Dxx 11-02 11D57 11D59 11D61 11Y50 11R04 PDFBibTeX XMLCite \textit{I. Gaál}, Diophantine equations and power integral bases. Theory and algorithms. 2nd edition. Cham: Birkhäuser (2019; Zbl 1465.11090) Full Text: DOI
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; Remete, László Integral bases and monogenity of the simplest sextic fields. (English) Zbl 1409.11085 Acta Arith. 183, No. 2, 173-183 (2018). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R20 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Acta Arith. 183, No. 2, 173--183 (2018; Zbl 1409.11085) Full Text: DOI arXiv
Gaál, István; Jadrijević, Borka Determining elements of minimal index in an infinite family of totally real bicyclic biquadratic number fields. (English) Zbl 1373.11077 JP J. Algebra Number Theory Appl. 39, No. 3, 307-326 (2017). MSC: 11R11 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{B. Jadrijević}, JP J. Algebra Number Theory Appl. 39, No. 3, 307--326 (2017; Zbl 1373.11077) Full Text: DOI
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 Integral bases and monogenity of pure fields. (English) Zbl 1419.11118 J. Number Theory 173, 129-146 (2017). MSC: 11R04 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, J. Number Theory 173, 129--146 (2017; Zbl 1419.11118) Full Text: DOI arXiv
Gaál, István; Remete, László; Szabó, Tímea Calculating power integral bases by using relative power integral bases. (English) Zbl 1395.11121 Funct. Approximatio, Comment. Math. 54, No. 2, 141-149 (2016). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R20 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} et al., Funct. Approximatio, Comment. Math. 54, No. 2, 141--149 (2016; Zbl 1395.11121) Full Text: DOI arXiv Euclid
Gaál, István; Remete, László Power integral bases in a family of sextic fields with quadratic subfields. (English) Zbl 1393.11068 Tatra Mt. Math. Publ. 64, 59-66 (2015). MSC: 11R04 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Tatra Mt. Math. Publ. 64, 59--66 (2015; Zbl 1393.11068) Full Text: DOI arXiv
Gaál, István; Petrányi, Gábor Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields. (English) Zbl 1340.11102 Czech. Math. J. 64, No. 2, 465-475 (2014). Reviewer: Volker Ziegler (Salzburg) MSC: 11Y50 11D57 11R04 11R16 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{G. Petrányi}, Czech. Math. J. 64, No. 2, 465--475 (2014; Zbl 1340.11102) Full Text: DOI arXiv
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
Gaál, István; Szabó, Tímea Relative power integral bases in infinite families of quartic extensions of quadratic fields. (English) Zbl 1335.11094 JP J. Algebra Number Theory Appl. 29, No. 1, 31-43 (2013). MSC: 11R33 11D25 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{T. Szabó}, JP J. Algebra Number Theory Appl. 29, No. 1, 31--43 (2013; Zbl 1335.11094) Full Text: arXiv Link
Gaál, István; Pohst, Michael The sum of two S-units being a perfect power in global function fields. (English) Zbl 1313.11138 Math. Slovaca 63, No. 1, 69-76 (2013). MSC: 11Y50 11D61 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{M. Pohst}, Math. Slovaca 63, No. 1, 69--76 (2013; Zbl 1313.11138) Full Text: DOI Link
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; Robertson, Leanne Power integral bases in prime-power cyclotomic fields. (English) Zbl 1193.11100 J. Number Theory 120, No. 2, 372-384 (2006). Reviewer: Michael Pohst (Berlin) MSC: 11R18 11R04 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Robertson}, J. Number Theory 120, No. 2, 372--384 (2006; Zbl 1193.11100) Full Text: DOI
Bilu, Yuri; Gaál, István; Győry, Kálmán Index form equations in sextic fields: a hard computation. (English) Zbl 1064.11084 Acta Arith. 115, No. 1, 85-96 (2004). Reviewer: Michael Pohst (Berlin) MSC: 11Y50 11D57 PDFBibTeX XMLCite \textit{Y. Bilu} et al., Acta Arith. 115, No. 1, 85--96 (2004; Zbl 1064.11084) Full Text: DOI
Gaál, I.; Olajos, P. Recent results on power integral bases of composite fields. (English) Zbl 1101.11012 Acta Acad. Paedagog. Agriensis, Sect. Mat. (N.S.) 30, 45-54 (2003). MSC: 11D57 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{P. Olajos}, Acta Acad. Paedagog. Agriensis, Sect. Mat. (N.S.) 30, 45--54 (2003; Zbl 1101.11012)
Gaál, István Diophantine equations and power integral bases. New computational methods. (English) Zbl 1016.11059 Boston, MA: Birkhäuser. xviii, 184 p. (2002). Reviewer: Michael Pohst (Berlin) MSC: 11Y50 11D57 11-02 11D59 11R33 11-04 PDFBibTeX XMLCite \textit{I. Gaál}, Diophantine equations and power integral bases. New computational methods. Boston, MA: Birkhäuser (2002; Zbl 1016.11059)
Gaál, István; Nyul, Gábor Computing all monogeneous mixed dihedral quartic extensions of a quadratic field. (English) Zbl 1065.11086 J. Théor. Nombres Bordx. 13, No. 1, 137-142 (2001). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11R20 11D59 11R11 11Y40 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{G. Nyul}, J. Théor. Nombres Bordx. 13, No. 1, 137--142 (2001; Zbl 1065.11086) Full Text: DOI Numdam EuDML EMIS
Gaál, István Power integral bases in cubic relative extensions. (English) Zbl 1014.11080 Exp. Math. 10, No. 1, 133-139 (2001). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11Y40 11R21 11R04 PDFBibTeX XMLCite \textit{I. Gaál}, Exp. Math. 10, No. 1, 133--139 (2001; Zbl 1014.11080) Full Text: DOI EuDML EMIS
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 Computing power integral bases in algebraic number fields. II. (English) Zbl 1011.11068 Halter-Koch, Franz (ed.) et al., Algebraic number theory and Diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30-September 5, 1998. Berlin: Walter de Gruyter. 153-161 (2000). Reviewer: O.Ninnemann (Berlin) MSC: 11R04 11Y40 11D57 11D59 PDFBibTeX XMLCite \textit{I. Gaál}, in: Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30--September 5, 1998. Berlin: Walter de Gruyter. 153--161 (2000; Zbl 1011.11068)
Gaál, István Power integer bases in algebraic number fields. (English) Zbl 0936.11072 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 18, 61-87 (1999). MSC: 11Y50 11D57 PDFBibTeX XMLCite \textit{I. Gaál}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 18, 61--87 (1999; Zbl 0936.11072)
Gaál, István; Győry, Kálmán Index form equations in quintic fields. (English) Zbl 0930.11091 Acta Arith. 89, No. 4, 379-396 (1999). Reviewer: Nigel Smart (Bristol) MSC: 11Y50 11D57 11R21 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{K. Győry}, Acta Arith. 89, No. 4, 379--396 (1999; Zbl 0930.11091) Full Text: DOI
Gaál, István Power integral bases in composites of number fields. (English) Zbl 0951.11012 Can. Math. Bull. 41, No. 2, 158-165 (1998). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D57 11R21 PDFBibTeX XMLCite \textit{I. Gaál}, Can. Math. Bull. 41, No. 2, 158--165 (1998; Zbl 0951.11012) Full Text: DOI
Gaál, István Computing power integral bases in algebraic number fields. (English) Zbl 1011.11067 Győry, Kálmán (ed.) et al., Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29-August 2, 1996. Berlin: de Gruyter. 243-254 (1998). Reviewer: Michael Pohst (Düsseldorf) MSC: 11R04 11Y40 11D59 11D57 PDFBibTeX XMLCite \textit{I. Gaál}, in: Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29--August 2, 1996. Berlin: de Gruyter. 243--254 (1998; Zbl 1011.11067)
Gaál, István; Pohst, Michael Power integral bases in a parametric family of totally real cyclic quintics. (English) Zbl 0899.11064 Math. Comput. 66, No. 220, 1689-1696 (1997). Reviewer: N.Tzanakis (Iraklion) MSC: 11Y50 11Y40 11D57 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{M. Pohst}, Math. Comput. 66, No. 220, 1689--1696 (1997; Zbl 0899.11064) Full Text: DOI
Gaál, István; Pohst, Michael On the resolution of index form equations in sextic fields with an imaginary quadratic subfield. (English) Zbl 0873.11025 J. Symb. Comput. 22, No. 4, 425-434 (1996). Reviewer: N.Tzanakis (Iraklion) MSC: 11D57 11Y50 11Y40 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{M. Pohst}, J. Symb. Comput. 22, No. 4, 425--434 (1996; Zbl 0873.11025) Full Text: DOI
Gaál, István Computing all power integral bases in orders of totally real cyclic sextic number fields. (English) Zbl 0857.11069 Math. Comput. 65, No. 214, 801-822 (1996). Reviewer: M.Pohst (Berlin) MSC: 11Y50 11Y40 11D57 11R80 PDFBibTeX XMLCite \textit{I. Gaál}, Math. Comput. 65, No. 214, 801--822 (1996; Zbl 0857.11069) Full Text: DOI
Gaál, István Power integral bases in orders of families of quartic fields. (English) Zbl 0814.11051 Publ. Math. Debr. 42, No. 3-4, 253-263 (1993). Reviewer: J.-H.Evertse (Leiden) MSC: 11R16 11D25 11R09 PDFBibTeX XMLCite \textit{I. Gaál}, Publ. Math. Debr. 42, No. 3--4, 253--263 (1993; Zbl 0814.11051)
Gaál, I.; Schulte, N. Computing all power integral bases of cubic fields. (English) Zbl 0677.10013 Math. Comput. 53, No. 188, 689-696 (1989). Reviewer: J.H.Evertse MSC: 11D25 11-04 11D57 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{N. Schulte}, Math. Comput. 53, No. 188, 689--696 (1989; Zbl 0677.10013) Full Text: DOI
Gaál, István Integral elements with given discriminant. (English) Zbl 0632.12009 Ber. Math.-Stat. Sekt. Forschungszent. Graz 272, 1-12 (1986). Reviewer: K.Györy MSC: 11R23 11R58 11D57 PDFBibTeX XML