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
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 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; 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; 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; 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
Raab, Clemens G. Using Gröbner bases for finding the logarithmic part of the integral of transcendental functions. (English) Zbl 1255.68313 J. Symb. Comput. 47, No. 10, 1290-1296 (2012). Reviewer: John Perry (Hattiesburg) MSC: 68W30 13P10 30E20 12F20 12H05 PDFBibTeX XMLCite \textit{C. G. Raab}, J. Symb. Comput. 47, No. 10, 1290--1296 (2012; Zbl 1255.68313) Full Text: DOI