Kovács, B.; Pethö, A. Number systems in integral domains, especially in orders of algebraic number fields. (English) Zbl 0760.11002 Acta Sci. Math. 55, No. 3-4, 287-299 (1991). Reviewer: I.Gaál (Debrecen) MSC: 11R04 11A63 11R16 PDFBibTeX XMLCite \textit{B. Kovács} and \textit{A. Pethö}, Acta Sci. Math. 55, No. 3--4, 287--299 (1991; Zbl 0760.11002)
Bremner, Andrew Some simple elliptic surfaces of genus zero. (English) Zbl 0762.11025 Manuscr. Math. 73, No. 1, 5-37 (1991). Reviewer: P.Vojta (Berkeley) MSC: 11G05 11D25 14G25 14H45 14J25 14G05 PDFBibTeX XMLCite \textit{A. Bremner}, Manuscr. Math. 73, No. 1, 5--37 (1991; Zbl 0762.11025) Full Text: DOI EuDML
Shapiro, Harold N.; Sparer, Gerson H. Minimal bases for cubic fields. (English) Zbl 0760.11027 Commun. Pure Appl. Math. 44, No. 8-9, 1121-1136 (1991). Reviewer: I.Gaál (Debrecen) MSC: 11R16 PDFBibTeX XMLCite \textit{H. N. Shapiro} and \textit{G. H. Sparer}, Commun. Pure Appl. Math. 44, No. 8--9, 1121--1136 (1991; Zbl 0760.11027) Full Text: DOI
Mayer, Daniel C. Principalization in complex \(S_ 3\)-fields. (English) Zbl 0733.11037 Numerical mathematics and computing, Proc. 20th Manitoba Conf., Winnipeg/Can. 1990, Congr. Numerantium 80, 73-87 (1991). Reviewer: Daniel C.Mayer MSC: 11R11 11R16 11R20 11Y40 11R29 11R37 PDFBibTeX XML
Zagier, Don Lösungen von Gleichungen in ganzen Zahlen. (Solutions of equations in integers). (German) Zbl 0733.11019 Miscellanea mathematica, Festschr. H. Götze, 311-326 (1991). Reviewer: B.Richter (Berlin) MSC: 11G05 11-01 11D41 11D09 11D25 14H52 14G05 PDFBibTeX XML
Ennola, V. Cubic number fields with exceptional units. (English) Zbl 0732.11054 Computational number theory, Proc. Colloq., Debrecen/Hung. 1989, 103-128 (1991). Reviewer: H.J.Godwin (Egham) MSC: 11R16 11R27 11R29 11Y40 12F05 PDFBibTeX XML
Ford, D. Enumeration of totally complex quartic fields of small discriminant. (English) Zbl 0729.11051 Computational number theory, Proc. Colloq., Debrecen/Hung. 1989, 129-138 (1991). Reviewer: Richard A. Mollin (Calgary) MSC: 11Y40 11R16 11R29 PDFBibTeX XML
Schulte, N. Index form equations in cubic number fields. (English) Zbl 0728.11071 Computational number theory, Proc. Colloq., Debrecen/Hung. 1989, 281-287 (1991). Reviewer: I.Gaál (Debrecen) MSC: 11Y50 11R16 11D25 PDFBibTeX XML
Zhang, Liangcheng; Gordon, Jonathan On unit solutions of the equation \(xyz=x+y+z\) in not totally real cubic fields. (English) Zbl 0728.11019 Can. Math. Bull. 34, No. 1, 141-144 (1991). Reviewer: Richard A. Mollin (Calgary) MSC: 11D57 11R16 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{J. Gordon}, Can. Math. Bull. 34, No. 1, 141--144 (1991; Zbl 0728.11019) Full Text: DOI
Sun, Qi Some unsolved problems in the diophantine equations. (English) Zbl 0725.11013 Southeast Asian Bull. Math. 15, No. 1, 65-69 (1991). MSC: 11Dxx 11D25 11D61 11D68 11D79 11T30 PDFBibTeX XMLCite \textit{Q. Sun}, Southeast Asian Bull. Math. 15, No. 1, 65--69 (1991; Zbl 0725.11013)
Parnami, J. C.; Agrawal, M. K.; Rajwade, A. R. On the stufe of quartic fields. (English) Zbl 0724.11051 J. Number Theory 38, No. 1, 106-109 (1991). Reviewer: A.Sładek (Katowice) MSC: 11R16 11E12 PDFBibTeX XMLCite \textit{J. C. Parnami} et al., J. Number Theory 38, No. 1, 106--109 (1991; Zbl 0724.11051) 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
Lazarus, Andrew J. On the class number and unit index of simplest quartic fields. (English) Zbl 0719.11073 Nagoya Math. J. 121, 1-13 (1991). Reviewer: A.J.Lazarus MSC: 11R29 11R27 11R16 PDFBibTeX XMLCite \textit{A. J. Lazarus}, Nagoya Math. J. 121, 1--13 (1991; Zbl 0719.11073) Full Text: DOI
Grundman, H. G. The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields. (English) Zbl 0715.11023 J. Number Theory 37, No. 3, 343-365 (1991). Reviewer: F.W.Knoeller MSC: 11F41 11R16 14J30 11R29 11R80 11R42 14G35 PDFBibTeX XMLCite \textit{H. G. Grundman}, J. Number Theory 37, No. 3, 343--365 (1991; Zbl 0715.11023) Full Text: DOI
Louboutin, Stéphane Norme relative de l’unité fondamentale et 2-rang du groupe des classes de certains corps biquadratiques. (Relative norm of the fundamental unit and 2-rank of the ideal class group of some biquadratic fields). (French) Zbl 0703.11050 Acta Arith. 58, No. 3, 273-288 (1991). Reviewer: S.Louboutin MSC: 11R16 11R29 11R27 PDFBibTeX XMLCite \textit{S. Louboutin}, Acta Arith. 58, No. 3, 273--288 (1991; Zbl 0703.11050) Full Text: DOI EuDML
Bremner, Andrew The equation \(xyz=x+y+z=1\) in integers of a quartic field. (English) Zbl 0686.10012 Acta Arith. 57, No. 4, 375-385 (1991). Reviewer: A. Bremner MSC: 11D57 11R16 11G05 PDFBibTeX XMLCite \textit{A. Bremner}, Acta Arith. 57, No. 4, 375--385 (1991; Zbl 0686.10012) Full Text: DOI
Klingen, Norbert Rigidity of decomposition laws and number fields. (English) Zbl 0745.11047 J. Aust. Math. Soc., Ser. A 51, No. 2, 171-186 (1991). Reviewer: N.Vila (Barcelona) MSC: 11R27 11R32 11R16 20B25 11R21 PDFBibTeX XMLCite \textit{N. Klingen}, J. Aust. Math. Soc., Ser. A 51, No. 2, 171--186 (1991; Zbl 0745.11047)
Cusick, T. W. The regulator spectrum for totally real cubic fields. (English) Zbl 0736.11063 Monatsh. Math. 112, No. 3, 217-220 (1991). Reviewer: T.W.Cusick (Buffalo) MSC: 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{T. W. Cusick}, Monatsh. Math. 112, No. 3, 217--220 (1991; Zbl 0736.11063) Full Text: DOI EuDML
Isbell, John A freshman calculus proof that real quartics factor. (English) Zbl 0743.12003 Am. Math. Mon. 98, No. 8, 749-751 (1991). Reviewer: W.Narkiewicz (Wrocław) MSC: 12D05 PDFBibTeX XMLCite \textit{J. Isbell}, Am. Math. Mon. 98, No. 8, 749--751 (1991; Zbl 0743.12003) Full Text: DOI
Atkinson, O. D.; Brüdern, J.; Cook, R. J. Three additive cubic equations. (English) Zbl 0738.11027 Acta Arith. 60, No. 1, 29-83 (1991). Reviewer: Ming-Chit Liu (Hongkong) MSC: 11D25 11P55 11D88 PDFBibTeX XMLCite \textit{O. D. Atkinson} et al., Acta Arith. 60, No. 1, 29--83 (1991; Zbl 0738.11027) Full Text: DOI EuDML
Okazaki, Ryotaro On evaluation of \(L\)-functions over real quadratic fields. (English) Zbl 0776.11071 J. Math. Kyoto Univ. 31, No. 4, 1125-1153 (1991). Reviewer: B.Z.Moroz (Bonn) MSC: 11Y40 11R42 11R16 11R29 11R27 PDFBibTeX XMLCite \textit{R. Okazaki}, J. Math. Kyoto Univ. 31, No. 4, 1125--1153 (1991; Zbl 0776.11071) Full Text: DOI
Smyth, C. J. Ideal 9th-order multigrades and Letac’s elliptic curve. (English) Zbl 0744.11015 Math. Comput. 57, No. 196, 817-823 (1991). Reviewer: J.Top (Rotterdam) MSC: 11B75 11D25 11G05 14G05 14H52 11D72 PDFBibTeX XMLCite \textit{C. J. Smyth}, Math. Comput. 57, No. 196, 817--823 (1991; Zbl 0744.11015) Full Text: DOI
Washington, Lawrence C. A family of cyclic quartic fields arising from modular curves. (English) Zbl 0743.11058 Math. Comput. 57, No. 196, 763-775 (1991). Reviewer: R.Schoof (Povo) MSC: 11R16 11F11 11G16 11R27 PDFBibTeX XMLCite \textit{L. C. Washington}, Math. Comput. 57, No. 196, 763--775 (1991; Zbl 0743.11058) Full Text: DOI
Shen, Yuan-Yuan Unit groups and class numbers of real cyclic octic fields. (English) Zbl 0738.11055 Trans. Am. Math. Soc. 326, No. 1, 179-209 (1991). Reviewer: M.D.Hendy (Palmerston North) MSC: 11R21 11R27 11R29 11R09 11R16 PDFBibTeX XMLCite \textit{Y.-Y. Shen}, Trans. Am. Math. Soc. 326, No. 1, 179--209 (1991; Zbl 0738.11055) Full Text: DOI
Meyer, Curt Class number formulas for imaginary pure quartic number fields. (English) Zbl 0738.11058 Number theory, Proc. Semin., New York/NY, 1989–1990, 215-227 (1991). Reviewer: Charles J. Parry (Blacksburg) MSC: 11R29 11R16 11F20 PDFBibTeX XMLCite \textit{C. Meyer}, in: Moduli of abelian varieties. . 215--227 (1991; Zbl 0738.11058) Full Text: DOI
Serf, P. Congruent numbers and elliptic curves. (English) Zbl 0736.11017 Computational number theory, Proc. Colloq., Debrecen/Hung. 1989, 227-238 (1991). Reviewer: Bernd Richter (Berlin) MSC: 11D25 11G05 14H52 14H25 PDFBibTeX XMLCite \textit{P. Serf}, in: On the construction of primitive elements and primitive normal bases in a finite field. . 227--238 (1991; Zbl 0736.11017)
Pethö, Attila Application of Gröbner bases to the resolution of systems of norm equations. (English) Zbl 0922.11116 Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 144-150 (1991). MSC: 11Y50 13P10 11D57 11R16 PDFBibTeX XMLCite \textit{A. Pethö}, in: ISSAC '91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15--17, 1991. New York, NY: ACM Press. 144--150 (1991; Zbl 0922.11116)
Ayad, Mohamed Points \(\Delta\)-entiers sur les courbes elliptiques. (\(\Delta\)-integer points on elliptic curves). (French) Zbl 0736.11028 J. Number Theory 38, No. 3, 323-337 (1991). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G05 11D25 14H52 PDFBibTeX XMLCite \textit{M. Ayad}, J. Number Theory 38, No. 3, 323--337 (1991; Zbl 0736.11028) Full Text: DOI