Nguyen Xuan Tho Solutions to \(x^4+py^4=z^4\) in cubic number fields. (English) Zbl 1506.11041 Arch. Math. 119, No. 3, 269-277 (2022). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R16 PDFBibTeX XMLCite \textit{Nguyen Xuan Tho}, Arch. Math. 119, No. 3, 269--277 (2022; Zbl 1506.11041) Full Text: DOI
Krásenský, Jakub A cubic ring of integers with the smallest Pythagoras number. (English) Zbl 1491.11039 Arch. Math. 118, No. 1, 39-48 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E12 11R04 11R16 11R80 PDFBibTeX XMLCite \textit{J. Krásenský}, Arch. Math. 118, No. 1, 39--48 (2022; Zbl 1491.11039) Full Text: DOI arXiv
Spearman, Blair K.; Yang, Qiduan; Yoo, Jeewon Minimal indices of pure cubic fields. (English) Zbl 1333.11099 Arch. Math. 106, No. 1, 35-40 (2016). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R29 11D59 PDFBibTeX XMLCite \textit{B. K. Spearman} et al., Arch. Math. 106, No. 1, 35--40 (2016; Zbl 1333.11099) Full Text: DOI Link
Spearman, Blair K.; Williams, Kenneth S. Density of integers which are discriminants of cyclic fields of odd prime degree. (English) Zbl 1056.11068 Arch. Math. 83, No. 6, 507-513 (2004). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11N25 11R16 11R20 PDFBibTeX XMLCite \textit{B. K. Spearman} and \textit{K. S. Williams}, Arch. Math. 83, No. 6, 507--513 (2004; Zbl 1056.11068) Full Text: DOI
Kagawa, Takaaki Determination of elliptic curves with everywhere good reduction over real quadratic fields. (English) Zbl 0955.11015 Arch. Math. 73, No. 1, 25-32 (1999). Reviewer: Federico Pellarin (Caen) MSC: 11G05 14H45 11D25 PDFBibTeX XMLCite \textit{T. Kagawa}, Arch. Math. 73, No. 1, 25--32 (1999; Zbl 0955.11015) Full Text: DOI
Brunotte, Horst On the metric theory of units of cyclic cubic fields. (Zur metrischen Theorie der Einheiten zyklischer kubischer Zahlkörper.) (German) Zbl 0854.11056 Arch. Math. 65, No. 6, 524-529 (1995). Reviewer: Horst Brunotte (Düsseldorf) MSC: 11R27 11R16 11Y40 PDFBibTeX XMLCite \textit{H. Brunotte}, Arch. Math. 65, No. 6, 524--529 (1995; Zbl 0854.11056) Full Text: DOI
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
Diaz y Diaz, Francisco; Llorente, P.; Quer, J. Cubic fields, a congruential criterion for Scholz’s theorem and new real quadratic fields with 3-rank equal to 4. (English) Zbl 0642.12008 Arch. Math. 50, No. 4, 356-359 (1988). Reviewer: K.Lakkis MSC: 11R11 11R16 11R23 PDFBibTeX XMLCite \textit{F. Diaz y Diaz} et al., Arch. Math. 50, No. 4, 356--359 (1988; Zbl 0642.12008) Full Text: DOI
Bertolini, Massimo; Canuto, Giu Good reduction of elliptic curves defined over \({\mathbb Q}(^ 3\sqrt{2})\). (English) Zbl 0615.14016 Arch. Math. 50, No. 1, 42-50 (1988). MSC: 14G25 11R16 14H52 14H45 PDFBibTeX XMLCite \textit{M. Bertolini} and \textit{G. Canuto}, Arch. Math. 50, No. 1, 42--50 (1988; Zbl 0615.14016) Full Text: DOI
Bremner, Andrew; Lewis, D. J.; Morton, Patrick Some varieties with points only in a field extension. (English) Zbl 0532.14011 Arch. Math. 43, 344-350 (1984). Reviewer: Andrew Bremner MSC: 14G25 14H25 11D25 PDFBibTeX XMLCite \textit{A. Bremner} et al., Arch. Math. 43, 344--350 (1984; Zbl 0532.14011) Full Text: DOI
Uehara, Tsuyoshi On class numbers of imaginary quadratic and quartic fields. (English) Zbl 0532.12007 Arch. Math. 41, 256-260 (1983). Reviewer: T.Lepistö MSC: 11R23 11R11 11R16 11R18 PDFBibTeX XMLCite \textit{T. Uehara}, Arch. Math. 41, 256--260 (1983; Zbl 0532.12007) Full Text: DOI
Parry, Charles J. A unit relationship for pure sextic fields. (English) Zbl 0475.12003 Arch. Math. 37, 210-221 (1981). MSC: 11R16 11R18 11R27 11R23 11R21 PDFBibTeX XMLCite \textit{C. J. Parry}, Arch. Math. 37, 210--221 (1981; Zbl 0475.12003) Full Text: DOI
Frei, Günther Fundamental systems of units in number fields \(Q(\sqrt{D^ 2+d},\sqrt{D^ 2+4d})\) with \(d|D\). (English) Zbl 0461.12005 Arch. Math. 36, 137-144 (1981). MSC: 11R27 11R16 PDFBibTeX XMLCite \textit{G. Frei}, Arch. Math. 36, 137--144 (1981; Zbl 0461.12005) Full Text: DOI
Scharlau, Rudolf The fundamental unit in quadratic extensions of imaginary quadratic fields. (English) Zbl 0432.12002 Arch. Math. 34, 534-537 (1980). MSC: 11R27 11R11 11R16 PDFBibTeX XMLCite \textit{R. Scharlau}, Arch. Math. 34, 534--537 (1980; Zbl 0432.12002) Full Text: DOI
Girstmair, Kurt Elementare Berechnung von kubischen Diskriminanten. (German) Zbl 0401.12003 Arch. Math. 32, 341-343 (1979). MSC: 11R16 11R23 14H05 PDFBibTeX XMLCite \textit{K. Girstmair}, Arch. Math. 32, 341--343 (1979; Zbl 0401.12003) Full Text: DOI
Halter-Koch, Franz Eine Bemerkung über kubische Einheiten. (German) Zbl 0352.12005 Arch. Math. 27, 593-595 (1976). MSC: 11R16 11R27 12D99 PDFBibTeX XMLCite \textit{F. Halter-Koch}, Arch. Math. 27, 593--595 (1976; Zbl 0352.12005) Full Text: DOI