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; 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
Li, Xinli Limit cycles in a quartic system with a third-order nilpotent singular point. (English) Zbl 1446.34052 Adv. Difference Equ. 2018, Paper No. 152, 15 p. (2018). MSC: 34C05 34C23 34C07 34C20 34C25 PDFBibTeX XMLCite \textit{X. Li}, Adv. Difference Equ. 2018, Paper No. 152, 15 p. (2018; Zbl 1446.34052) Full Text: DOI
Im, Bo-Hae; Kim, Hansol A parametrization of \(\theta\)-congruent numbers with many prime factors and with prescribed prime factors. (English) Zbl 1469.11170 J. Math. Anal. Appl. 462, No. 1, 407-427 (2018). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{B.-H. Im} and \textit{H. Kim}, J. Math. Anal. Appl. 462, No. 1, 407--427 (2018; Zbl 1469.11170) Full Text: DOI
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
Luo, Bin; Wu, Yuhai Phase portraits of a Z5-equivariant quartic Hamiltonian system. (English) Zbl 1299.34120 Ann. Differ. Equations 29, No. 4, 438-442 (2013). MSC: 34C07 34C23 34C37 37G15 37J45 37J15 PDFBibTeX XMLCite \textit{B. Luo} and \textit{Y. Wu}, Ann. Differ. Equations 29, No. 4, 438--442 (2013; Zbl 1299.34120)
Tzanakis, Nikos Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. (English) Zbl 1311.11023 De Gruyter Series in Discrete Mathematics and Applications 2. Berlin: de Gruyter (ISBN 978-3-11-028091-3/hbk; 978-3-11-028114-9/ebook). xvi, 179 p. (2013). Reviewer: Maciej Ulas (Kraków) MSC: 11D25 11D41 11-02 11G05 11Y50 PDFBibTeX XMLCite \textit{N. Tzanakis}, Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. Berlin: de Gruyter (2013; Zbl 1311.11023)
Cohen, Stephen D.; Huczynska, Sophie Primitive free quartics with specified norm and trace. (English) Zbl 1074.11064 Acta Arith. 109, No. 4, 359-385 (2003). Reviewer: Pieter Moree (Bonn) MSC: 11T06 11A25 11T24 11T30 PDFBibTeX XMLCite \textit{S. D. Cohen} and \textit{S. Huczynska}, Acta Arith. 109, No. 4, 359--385 (2003; Zbl 1074.11064) Full Text: DOI
Gebel, J.; Pethö, A.; Zimmer, H. G. Computing integral points on elliptic curves. (English) Zbl 0816.11019 Acta Arith. 68, No. 2, 171-192 (1994). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G05 11J86 11Y16 PDFBibTeX XMLCite \textit{J. Gebel} et al., Acta Arith. 68, No. 2, 171--192 (1994; Zbl 0816.11019) Full Text: DOI EuDML