Gaál, István; Pethö, Attila; Pohst, Michael On the resolution of index form equations in quartic number fields. (English) Zbl 0808.11023 J. Symb. Comput. 16, No. 6, 563-584 (1993). Reviewer: N.Tzanakis (Iraklion) MSC: 11D25 11R16 11Y40 PDFBibTeX XMLCite \textit{I. Gaál} et al., J. Symb. Comput. 16, No. 6, 563--584 (1993; Zbl 0808.11023) Full Text: DOI Link
Godwin, H. J.; Smith, J. R. On the Euclidean nature of four cyclic cubic fields. (English) Zbl 0795.11055 Math. Comput. 60, No. 201, 421-423 (1993). MSC: 11R16 11Y40 11R20 PDFBibTeX XMLCite \textit{H. J. Godwin} and \textit{J. R. Smith}, Math. Comput. 60, No. 201, 421--423 (1993; Zbl 0795.11055) Full Text: DOI
Barrucand, Pierre; Louboutin, Stéphane Upper and lower bounds for the ideal class number of totally real fields of prime degree. (Majoration et minoration du nombre de classes d’idéaux des corps réels purs de degré premier.) (French) Zbl 0806.11048 Bull. Lond. Math. Soc. 25, No. 6, 533-540 (1993). Reviewer: K.S.Williams (Ottawa) MSC: 11R29 11R42 11R16 11R18 PDFBibTeX XMLCite \textit{P. Barrucand} and \textit{S. Louboutin}, Bull. Lond. Math. Soc. 25, No. 6, 533--540 (1993; Zbl 0806.11048) Full Text: DOI
Aoki, Noboru Selmer groups and ideal class groups. (English) Zbl 0834.11026 Comment. Math. Univ. St. Pauli 42, No. 2, 209-229 (1993). Reviewer: J.Top (Groningen) MSC: 11G05 11R16 11R34 11R29 PDFBibTeX XMLCite \textit{N. Aoki}, Comment. Math. Univ. St. Pauli 42, No. 2, 209--229 (1993; Zbl 0834.11026)
Noda, Kazunari; Wada, Hideo All congruent numbers less than 10 000. (English) Zbl 0795.11012 Proc. Japan Acad., Ser. A 69, No. 6, 175-178 (1993). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{K. Noda} and \textit{H. Wada}, Proc. Japan Acad., Ser. A 69, No. 6, 175--178 (1993; Zbl 0795.11012) Full Text: DOI
Ayad, Mohamed Periodicity mod \(q\) of elliptic sequences and \(S\)-integral points on elliptic curves. (Périodicité mod \(q\) des suites elliptiques et points \(S\)-entiers sur les courbes elliptiques.) (French) Zbl 0781.11007 Ann. Inst. Fourier 43, No. 3, 585-618 (1993). Reviewer: M.Ayad (Caen) MSC: 11B50 11G05 11B83 11D25 PDFBibTeX XMLCite \textit{M. Ayad}, Ann. Inst. Fourier 43, No. 3, 585--618 (1993; Zbl 0781.11007) Full Text: DOI Numdam EuDML
Buchmann, Johannes; Ford, David; Pohst, Michael Enumeration of quartic fields of small discriminant. (English) Zbl 0788.11060 Math. Comput. 61, No. 204, 873-879 (1993). MSC: 11Y40 11-04 11R16 PDFBibTeX XMLCite \textit{J. Buchmann} et al., Math. Comput. 61, No. 204, 873--879 (1993; Zbl 0788.11060) Full Text: DOI
Pethö, Attila Systems of norm equations over cubic number fields. (English) Zbl 0804.11027 Grazer Math. Ber. 318, 111-120 (1993). Reviewer: V.Ennola (Turku) MSC: 11D57 11R16 11G05 PDFBibTeX XMLCite \textit{A. Pethö}, Grazer Math. Ber. 318, 111--120 (1993; Zbl 0804.11027)
Top, Jaap Fermat’s ‘primitive solutions’ and some arithmetic of elliptic curves. (English) Zbl 0787.11022 Indag. Math., New Ser. 4, No. 2, 211-222 (1993). Reviewer: J.-H.Evertse (Leiden) MSC: 11G05 11D25 14G05 14H52 PDFBibTeX XMLCite \textit{J. Top}, Indag. Math., New Ser. 4, No. 2, 211--222 (1993; Zbl 0787.11022) Full Text: DOI
Cánovas Orvay, Francisca Fundamental units in a family of cyclic cubic fields. (English) Zbl 0785.11051 Commun. Algebra 21, No. 11, 3953-3962 (1993). Reviewer: T.Metsänkylä (Turku) MSC: 11R16 11R27 11R20 PDFBibTeX XMLCite \textit{F. Cánovas Orvay}, Commun. Algebra 21, No. 11, 3953--3962 (1993; Zbl 0785.11051) Full Text: DOI
Del Corso, Ilaria; Dvornicich, Roberto A converse of Artin’s density theorem: The case of cubic fields. (English) Zbl 0779.11047 J. Number Theory 45, No. 1, 28-44 (1993). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R16 11R45 PDFBibTeX XMLCite \textit{I. Del Corso} and \textit{R. Dvornicich}, J. Number Theory 45, No. 1, 28--44 (1993; Zbl 0779.11047) Full Text: DOI
Bremner, Andrew; Guy, Richard K.; Nowakowski, Richard J. Which integers are representable as the product of the sum of three integers with the sum of their reciprocals? (English) Zbl 0808.11022 Math. Comput. 61, No. 203, 117-130 (1993). Reviewer: Jakob Top (Groningen) MSC: 11D25 11G05 11Y50 PDFBibTeX XMLCite \textit{A. Bremner} et al., Math. Comput. 61, No. 203, 117--130 (1993; Zbl 0808.11022) Full Text: DOI
Bremner, Andrew; Buell, Duncan A. Three points of great height on elliptic curves. (English) Zbl 0785.11035 Math. Comput. 61, No. 203, 111-115 (1993). Reviewer: E. Nart (Barcelona) MSC: 11G05 14H52 11-04 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{D. A. Buell}, Math. Comput. 61, No. 203, 111--115 (1993; Zbl 0785.11035) Full Text: DOI
Nakahara, Toru A simple proof for non-monogenesis of the rings of integers in some cyclic fields. (English) Zbl 0797.11089 Gouvêa, Fernando Q. (ed.) et al., Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen’s University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 167-173 (1993). Reviewer: T.Takeuchi (Niigata) MSC: 11R33 11R20 PDFBibTeX XMLCite \textit{T. Nakahara}, in: Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen's University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 167--173 (1993; Zbl 0797.11089)
Fujita, Hiroyuki The minimum discriminant of totally real algebraic number fields of degree 9 with cubic subfields. (English) Zbl 0773.11079 Math. Comput. 60, No. 202, 801-810 (1993). Reviewer: M.Pohst (Berlin) MSC: 11Y40 11R29 11R80 11R16 PDFBibTeX XMLCite \textit{H. Fujita}, Math. Comput. 60, No. 202, 801--810 (1993; Zbl 0773.11079) Full Text: DOI
Pohst, M.; Graf von Schmettow, J. On the computation of unit groups and class groups of totally complex quartic fields. (English) Zbl 0778.11077 Math. Comput. 60, No. 202, 793-800 (1993). Reviewer: H.Cohn (New York) MSC: 11Y40 11-04 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{M. Pohst} and \textit{J. Graf von Schmettow}, Math. Comput. 60, No. 202, 793--800 (1993; Zbl 0778.11077) Full Text: DOI
Lan, Yizhong On the composite fields of two cubic cyclic extension fields over a number field. (English) Zbl 0778.11058 Chin. Sci. Bull. 38, No. 1, 19-22 (1993). Reviewer: H.Yokoi (Nagoya) MSC: 11R16 11R20 PDFBibTeX XMLCite \textit{Y. Lan}, Chin. Sci. Bull. 38, No. 1, 19--22 (1993; Zbl 0778.11058)
Heath-Brown, D. R. The size of Selmer groups for the congruent number problem. (English) Zbl 0808.11041 Invent. Math. 111, No. 1, 171-195 (1993). Reviewer: A.Pacheco (Rio de Janeiro) MSC: 11G05 14H25 11G40 11D25 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Invent. Math. 111, No. 1, 171--195 (1993; Zbl 0808.11041) Full Text: DOI EuDML
Zhang, Shaowei On the rational points of \(y^ 2 = x^ 3 - k\). (English) Zbl 0773.11037 Chin. Sci. Bull. 38, No. 4, 269-272 (1993). Reviewer: A.R.Rajwade (Chandigarh) MSC: 11G05 14G05 11G15 14H52 11D25 PDFBibTeX XMLCite \textit{S. Zhang}, Chin. Sci. Bull. 38, No. 4, 269--272 (1993; Zbl 0773.11037)