Lan, Yizhong Arithmetic properties of a class of cubic cyclic fields. (English) Zbl 0722.11050 Sci. China, Ser. A 32, No. 8, 922-928 (1989). Reviewer: K.Lakkis (Thessaloniki) MSC: 11R16 11R37 PDFBibTeX XMLCite \textit{Y. Lan}, Sci. China, Ser. A 32, No. 8, 922--928 (1989; Zbl 0722.11050)
Müller, Hans H.; Ströher, Harald; Zimmer, Horst G. Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields. (English) Zbl 0719.14021 Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 671-698 (1989). Reviewer: C.-G.Schmidt (Groningen) MSC: 14H52 65A05 14Q05 14G25 11R11 11R16 PDFBibTeX XML
Buchmann, J.; Pohst, M.; Schmettow, J.v. On the computation of unit groups and class groups of totally real quartic fields. (English) Zbl 0714.11002 Math. Comput. 53, No. 187, 387-397 (1989). Reviewer: M.D.Hendy MSC: 11-04 11R16 11Y40 11R27 11R29 11R80 PDFBibTeX XMLCite \textit{J. Buchmann} et al., Math. Comput. 53, No. 187, 387--397 (1989; Zbl 0714.11002) Full Text: DOI
Cougnard, Jean; Fleckinger, Vincent Sur la monogénéité de l’anneau des entiers de certains corps de rayon. (On the monogenicity of the ring of integers of certain ray fields). (French) Zbl 0712.11063 Manuscr. Math. 63, No. 3, 365-376 (1989). Reviewer: R.Ph.Steiner MSC: 11R20 11R33 11J86 11G05 11D25 11R37 PDFBibTeX XMLCite \textit{J. Cougnard} and \textit{V. Fleckinger}, Manuscr. Math. 63, No. 3, 365--376 (1989; Zbl 0712.11063) Full Text: DOI EuDML
Halter-Koch, Franz; Ishii, Noburo Ring class fields modulo 8 of \({\mathbb{Q}}(\sqrt{-m})\) and the quartic character of units of \({\mathbb{Q}}(\sqrt{m})\) for m\(\equiv 1\) mod 8. (English) Zbl 0705.11062 Osaka J. Math. 26, No. 3, 625-646 (1989). Reviewer: K.S.Williams MSC: 11R11 11R27 11R29 PDFBibTeX XMLCite \textit{F. Halter-Koch} and \textit{N. Ishii}, Osaka J. Math. 26, No. 3, 625--646 (1989; Zbl 0705.11062)
Earnest, A. G. Finiteness theorems for number fields having class groups of given 2- power exponent. (English) Zbl 0701.11053 Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 373-380 (1989). Reviewer: Ch.Parry MSC: 11R20 11R11 11R29 PDFBibTeX XML
Kraft, James S. Iwasawa invariants of CM fields. (English) Zbl 0697.12004 J. Number Theory 32, No. 1, 65-77 (1989). Reviewer: J.-F.Jaulent MSC: 11R18 11R23 14K22 11R16 PDFBibTeX XMLCite \textit{J. S. Kraft}, J. Number Theory 32, No. 1, 65--77 (1989; Zbl 0697.12004) Full Text: DOI
Bremner, A. On the equation \(y^ 2=x^ 3+k\) over function fields. (English) Zbl 0689.14011 Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 23-26 (1989). Reviewer: J.Top MSC: 14H45 14J25 11D25 14H52 14G05 14G25 PDFBibTeX XML
Bremner, Andrew The equation \(xyz=x+y+z=1\) in integers of a cubic field. (English) Zbl 0686.10011 Manuscr. Math. 65, No. 4, 479-487 (1989). MSC: 11D57 11R16 14H52 11D25 11R27 14G25 PDFBibTeX XMLCite \textit{A. Bremner}, Manuscr. Math. 65, No. 4, 479--487 (1989; Zbl 0686.10011) Full Text: DOI EuDML
Cochrane, Todd Small solutions of cubic congruences. (English) Zbl 0684.10018 Proc. Am. Math. Soc. 106, No. 2, 333-334 (1989). Reviewer: Rainer Schulze-Pillot (Saarbrücken) MSC: 11D79 11D25 11E76 11T99 PDFBibTeX XMLCite \textit{T. Cochrane}, Proc. Am. Math. Soc. 106, No. 2, 333--334 (1989; Zbl 0684.10018) Full Text: DOI
Lazarus, Andrew J. Letter to the editor. (English) Zbl 0683.12004 Am. Math. Mon. 96, No. 1, 17 (1989). Reviewer: H.Yokoi MSC: 11R16 11R32 11R09 PDFBibTeX XMLCite \textit{A. J. Lazarus}, Am. Math. Mon. 96, No. 1, 17 (1989; Zbl 0683.12004) Full Text: DOI
Hardy, Kenneth; Hudson, Richard H.; Richman, David; Williams, Kenneth S. Determination of all imaginary cyclic quartic fields with class number 2. (English) Zbl 0678.12003 Trans. Am. Math. Soc. 311, No. 1, 1-55 (1989). Reviewer: C.Parry MSC: 11R16 11R23 11R18 PDFBibTeX XMLCite \textit{K. Hardy} et al., Trans. Am. Math. Soc. 311, No. 1, 1--55 (1989; Zbl 0678.12003) Full Text: DOI
Russel, I. H.; Toms, D. J. Symmetry breaking around cosmic strings. (English) Zbl 0677.53085 Classical Quantum Gravity 6, No. 10, 1343-1349 (1989). Reviewer: V.Silveira MSC: 53C80 83E30 PDFBibTeX XMLCite \textit{I. H. Russel} and \textit{D. J. Toms}, Classical Quantum Gravity 6, No. 10, 1343--1349 (1989; Zbl 0677.53085) Full Text: DOI
Li, Delang Defining equations and trace forms of cubic cyclic fields. (English) Zbl 0676.12001 Sci. China, Ser. A 32, No. 1, 52-61 (1989). Reviewer: N.Vila MSC: 11R16 12E12 11E12 PDFBibTeX XMLCite \textit{D. Li}, Sci. China, Ser. A 32, No. 1, 52--61 (1989; Zbl 0676.12001)
Buchmann, Johannes; Ford, David On the computation of totally real quartic fields of small discriminant. (English) Zbl 0668.12001 Math. Comput. 52, No. 185, 161-174 (1989). Reviewer: Tauno Metsänkylä (Turku) MSC: 11Y40 11R16 11R80 PDFBibTeX XMLCite \textit{J. Buchmann} and \textit{D. Ford}, Math. Comput. 52, No. 185, 161--174 (1989; Zbl 0668.12001) Full Text: DOI
Colliot-Thélène, Jean-Louis; Salberger, Per Arithmetic on some singular cubic hypersurfaces. (English) Zbl 0638.14011 Proc. Lond. Math. Soc., III. Ser. 58, No. 3, 519-549 (1989). Reviewer: P.Salberger MSC: 14G05 14G25 14J17 11D25 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} and \textit{P. Salberger}, Proc. Lond. Math. Soc. (3) 58, No. 3, 519--549 (1989; Zbl 0638.14011) Full Text: DOI
Kraus, Alain Quelques remarques à propos des invariants \(c_ 4\), \(c_ 6\) et \(\Delta\) d’une courbe elliptique. (Some remarks about the invariants \(c_ 4\), \(c_ 6\) and \(\Delta\) of an elliptic curve). (French) Zbl 0628.14024 Acta Arith. 54, No. 1, 75-80 (1989). MSC: 14H05 11D25 14H52 14H45 PDFBibTeX XMLCite \textit{A. Kraus}, Acta Arith. 54, No. 1, 75--80 (1989; Zbl 0628.14024) Full Text: DOI EuDML