Fleckinger, Vincent Study of the elliptic curve \(y^ 2=4x^ 3-27((3+\sqrt{-19})/2)^ 2\) and monogenicity of certain rings of integers. (Étude de la courbe elliptique \(y^ 2=4x^ 3-27((3+\sqrt{-19})/2)^ 2\) et monogénéité de certains anneaux d’entiers.) (French) Zbl 0748.14012 Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 103-116 (1989). Reviewer: H.G.Zimmer (Saarbrücken) MSC: 11G05 14H52 14G10 11R37 PDFBibTeX XMLCite \textit{V. Fleckinger}, Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 103--116 (1989; Zbl 0748.14012) Full Text: DOI Numdam EuDML
Zagier, Don The dilogarithm function in geometry and number theory. (English) Zbl 0744.33011 Number theory and related topics, Pap. Ramanujan Colloq., Bombay/India 1988, Stud. Math., Tata Inst. Fundam. Res. 12, 231-243 (1989). Reviewer: D.Zagier MSC: 33E20 11F11 11R42 53C25 PDFBibTeX XMLCite \textit{D. Zagier}, in: Number theory and related topics. Papers presented at the Ramanujan birth centenary international colloquium, Bombay, India, 4-11 January, 1988. Oxford: Oxford University Press, published for the Tata Institute of Fundamental Research. 231--243 (1989; Zbl 0744.33011)
Ramanathan, K. G. On some theorems stated by Ramanujan. (English) Zbl 0746.11009 Number theory and related topics, Pap. Ramanujan Colloq., Bombay/India 1988, Stud. Math., Tata Inst. Fundam. Res. 12, 151-160 (1989). MSC: 11A55 11R04 PDFBibTeX XMLCite \textit{K. G. Ramanathan}, in: Number theory and related topics. Papers presented at the Ramanujan birth centenary international colloquium, Bombay, India, 4-11 January, 1988. Oxford: Oxford University Press, published for the Tata Institute of Fundamental Research. 151--160 (1989; Zbl 0746.11009)
Cho, In-Ho; Kwon, Sun-Hi; Lim, Jong-In On the construction of quaternion fields. (English) Zbl 1273.11163 Commun. Korean Math. Soc. 4, No. 1, 155-160 (1989). MSC: 11R52 12E15 PDFBibTeX XMLCite \textit{I.-H. Cho} et al., Commun. Korean Math. Soc. 4, No. 1, 155--160 (1989; Zbl 1273.11163)
Skula, Ladislav Special invariant subspaces of a vector space over \(Z/lZ\). (English) Zbl 0737.11027 Arch. Math., Brno 25, No. 1-2, 35-46 (1989). Reviewer: L.Washington (College Park) MSC: 11R18 PDFBibTeX XMLCite \textit{L. Skula}, Arch. Math., Brno 25, No. 1--2, 35--46 (1989; Zbl 0737.11027) Full Text: EuDML
Coates, John On \(p\)-adic \(L\)-functions attached to motives over \(\mathbb Q\). II. (English) Zbl 0783.11040 Bol. Soc. Bras. Mat., Nova Sér. 20, No. 1, 101-112 (1989). Reviewer: P.Bayer (Barcelona) MSC: 11G40 11F33 11F67 11G09 11R23 PDFBibTeX XMLCite \textit{J. Coates}, Bol. Soc. Bras. Mat., Nova Sér. 20, No. 1, 101--112 (1989; Zbl 0783.11040) Full Text: DOI
Feit, Walter Some Galois groups over number fields. (English) Zbl 0756.12001 Bol. Soc. Bras. Mat., Nova Sér. 20, No. 1, 55-59 (1989). Reviewer: N.Vila (Barcelona) MSC: 12F12 11R32 11-02 20D06 PDFBibTeX XMLCite \textit{W. Feit}, Bol. Soc. Bras. Mat., Nova Sér. 20, No. 1, 55--59 (1989; Zbl 0756.12001) Full Text: DOI
Halter-Koch, F. Some periodic continued fraction expansions and fundamental units of quadratic orders. (Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen.) (German) Zbl 0764.11009 Abh. Math. Semin. Univ. Hamb. 59, 157-169 (1989). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A55 11R11 11R27 PDFBibTeX XMLCite \textit{F. Halter-Koch}, Abh. Math. Semin. Univ. Hamb. 59, 157--169 (1989; Zbl 0764.11009) Full Text: DOI
Rzedowski-Calderon, Martha Construction of global function fields with nilpotent automorphism groups. (English) Zbl 0803.11062 Bol. Soc. Mat. Mex., II. Ser. 34, No. 1-2, 1-10 (1989). Reviewer: H.Nakamura (Tokyo) MSC: 11R58 12F12 11R32 PDFBibTeX XMLCite \textit{M. Rzedowski-Calderon}, Bol. Soc. Mat. Mex., II. Ser. 34, No. 1--2, 1--10 (1989; Zbl 0803.11062)
Kučera, Radan A basis for the Stickelberger ideal and the system of circular units of a cyclotomic field. (English. Russian original) Zbl 0745.11048 J. Sov. Math. 57, No. 6, 3485-3489 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 69-74 (1989). MSC: 11R27 11R18 11R29 PDFBibTeX XMLCite \textit{R. Kučera}, J. Sov. Math. 57, No. 6, 3485--3489 (1989; Zbl 0745.11048); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 69--74 (1989) Full Text: DOI
Rausch, Ulrich Zum Ellipsoidproblem in algebraischen Zahlkörpern. (On the ellipsoid problem in algebraic number fields). (German) Zbl 0734.11049 Clausthal: Techn. Univ. Clausthal, Math.-Naturwiss. Fak., Habil.-Schr. 41 S. (1989). MSC: 11P21 11R99 PDFBibTeX XMLCite \textit{U. Rausch}, Zum Ellipsoidproblem in algebraischen Zahlkörpern. (On the ellipsoid problem in algebraic number fields). Clausthal: Techn. Univ. Clausthal, Math.-Naturwiss. Fak. (1989; Zbl 0734.11049)
Bertin, Marie José; Pathiaux-Delefosse, Martine Lehmer’s conjecture and small Salem numbers. (Conjecture de Lehmer et petits nombres de Salem.) (French) Zbl 0707.11073 Queen’s Papers in Pure and Applied Mathematics, 81. Kingston: Queen’s University. 144 p. (1989). Reviewer: David W. Boyd (Vancouver) MSC: 11R06 11-02 PDFBibTeX XMLCite \textit{M. J. Bertin} and \textit{M. Pathiaux-Delefosse}, Conjecture de Lehmer et petits nombres de Salem. Kingston: Queen's University (1989; Zbl 0707.11073)
Stewart, Ian Galois theory. 2nd ed. (English) Zbl 0694.12001 London etc.: Chapman and Hall. xxx, 202 p. £11.95/pbk (1989). MSC: 12-01 12F10 11R32 12-04 01A55 PDFBibTeX XMLCite \textit{I. Stewart}, Galois theory. 2nd ed. London etc.: Chapman and Hall (1989; Zbl 0694.12001)
Le, Maohua On the divisibility of the class number of the imaginary quadratic field \(\mathbb{Q}(\sqrt{a^ 2-4k^ n})\). (English) Zbl 0779.11053 Acta Math. Sin., New Ser. 5, No. 1, 80-86 (1989). MSC: 11R29 11R11 PDFBibTeX XMLCite \textit{M. Le}, Acta Math. Sin., New Ser. 5, No. 1, 80--86 (1989; Zbl 0779.11053) Full Text: DOI
Cox, David A. Primes of the form \(x^2+ny^2\). Fermat, class field theory and complex multiplication. (English) Zbl 0701.11001 New York etc.: John Wiley & Sons. xi, 351 p. £34.45/hbk, $ 49.95/pbk (1989). Reviewer: Harvey Cohn (New York) MSC: 11-02 11R37 11A51 11G15 11Y11 11E25 PDFBibTeX XMLCite \textit{D. A. Cox}, Primes of the form \(x^2+ny^2\). Fermat, class field theory and complex multiplication. New York etc.: John Wiley \&| Sons (1989; Zbl 0701.11001)
Launert, Martin Arithmetical determination of fundamental unit and class number in cyclic quintic number fields. (Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen quintischen Zahlkörpern.) (German) Zbl 0709.11060 Göttingen: Univ. Göttingen, Math.-Naturwiss. Fachbereiche, Diss. 75 S. (1989). Reviewer: Franz Halter-Koch (Graz) MSC: 11R20 11R27 11R29 PDFBibTeX XMLCite \textit{M. Launert}, Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen quintischen Zahlkörpern. Göttingen: Univ. Göttingen, Math.-Naturwiss. Fachbereiche (1989; Zbl 0709.11060)
Lüneburg, Heinz Tools and fundamental constructions of combinatorial mathematics. (English) Zbl 0692.05001 Mannheim etc.: B.I.-Wissenschaftsverlag. 525 S. DM 78.00 (1989). Reviewer: A.Huťa jun MSC: 05-02 03-02 06Axx 11B75 11Rxx 11Sxx 22Exx 20-XX PDFBibTeX XMLCite \textit{H. Lüneburg}, Tools and fundamental constructions of combinatorial mathematics. Mannheim etc.: B.I.-Wissenschaftsverlag (1989; Zbl 0692.05001)
Arthur, James; Clozel, Laurent Simple algebras, base change, and the advanced theory of the trace formula. (English) Zbl 0682.10022 Annals of Mathematics Studies, 120. Princeton, NY: Princeton University Press. xiii, 230 p. $ 55.00/hbk; $ 19.95/pbk (1989). Reviewer: J.G.M.Mars MSC: 11F70 11-02 11R39 22E55 12-02 22-02 11R32 PDFBibTeX XMLCite \textit{J. Arthur} and \textit{L. Clozel}, Simple algebras, base change, and the advanced theory of the trace formula. Princeton, NY: Princeton University Press (1989; Zbl 0682.10022) Full Text: DOI
Serre, Jean-Pierre Brown, Martin (ed.) [Waldschmidt, Michel] Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. (English) Zbl 0676.14005 Aspects of Mathematics, E 15. Braunschweig etc.: Friedr. Vieweg & Sohn. x, 218 p. DM 52.00 (1989). Reviewer: S. Kamienny (Los Angeles) MSC: 14G05 14H52 11G05 11G50 14H25 14-02 11-02 14G25 14H45 14K15 11R27 PDFBibTeX XMLCite \textit{J.-P. Serre} and \textit{M. Brown} (ed.), Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Braunschweig etc.: Friedr. Vieweg \&| Sohn (1989; Zbl 0676.14005)
Barbeau, E. J. Polynomials. (English) Zbl 0682.12001 Problem Books in Mathematics. New York etc.: Springer-Verlag. xxii, 441 p. DM 124.00/hbk (1989). Reviewer: Winfried B.Müller MSC: 12-01 11R09 11T06 12D05 11C08 12D10 00A07 PDFBibTeX XMLCite \textit{E. J. Barbeau}, Polynomials. New York etc.: Springer-Verlag (1989; Zbl 0682.12001)
Snaith, Victor P. Topological methods in Galois representation theory. (English) Zbl 0673.12009 Canadian Mathematical Society Series of Monographs and Advanced Texts; Wiley-Interscience Publication. New York etc.: John Wiley & Sons. xiii, 299 p. £28.75 (1989). Reviewer: M.Kolster MSC: 12G05 12-02 11R52 57R20 11R34 14F22 11R32 55P42 PDFBibTeX XMLCite \textit{V. P. Snaith}, Topological methods in Galois representation theory. New York etc.: John Wiley \&| Sons (1989; Zbl 0673.12009)
Kubota, Tomio Remarks on the theorems of Takagi and Furtwängler. (English) Zbl 0734.11068 Algebraic number theory - in honor of K. Iwasawa, Proc. Workshop Iwasawa Theory Spec. Values L-Funct., Berkeley/CA (USA) 1987, Adv. Stud. Pure Math. 17, 267-270 (1989). Reviewer: Charles J. Parry (Blacksburg) MSC: 11R37 PDFBibTeX XML
Burns, D. J. Factorisability and the arithmetic of wildly ramified Galois extensions. (English) Zbl 0734.11065 Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 59-65 (1989). MSC: 11R33 11S23 11S15 11S20 PDFBibTeX XMLCite \textit{D. J. Burns}, Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 59--65 (1989; Zbl 0734.11065) Full Text: DOI Numdam EuDML
Coleman, R. F. Anderson-Ihara theory: Gauss sums and circular units. (English) Zbl 0733.14012 Algebraic number theory - in honor of K. Iwasawa, Proc. Workshop Iwasawa Theory Spec. Values L-Funct., Berkeley/CA (USA) 1987, Adv. Stud. Pure Math. 17, 55-72 (1989). Reviewer: D.Goss (Columbus) MSC: 14H25 33B15 11R18 14H45 14A20 11R23 11L05 PDFBibTeX XML
Jannsen, Uwe Iwasawa modules up to isomorphism. (English) Zbl 0732.11061 Algebraic number theory - in honor of K. Iwasawa, Proc. Workshop Iwasawa Theory Spec. Values L-Funct., Berkeley/CA (USA) 1987, Adv. Stud. Pure Math. 17, 171-207 (1989). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11R23 11R34 PDFBibTeX XML
Washington, Lawrence C. On Sinnott’s proof of the vanishing of the Iwasawa invariant \(\mu_ p\). (English) Zbl 0732.11059 Algebraic number theory - in honor of K. Iwasawa, Proc. Workshop Iwasawa Theory Spec. Values L-Funct., Berkeley/CA (USA) 1987, Adv. Stud. Pure Math. 17, 457-462 (1989). Reviewer: K.Lakkis (Thessaloniki) MSC: 11R23 11R18 PDFBibTeX XML
Ohm, Jack On ruled fields. (English) Zbl 0731.12001 Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 27-49 (1989). Reviewer: J.N.Mordeson (Omaha) MSC: 12F20 11R58 14H05 PDFBibTeX XMLCite \textit{J. Ohm}, Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 27--49 (1989; Zbl 0731.12001) Full Text: DOI Numdam EuDML
Martinet, Jacques The quadratic discriminants and the Stickelberger congruence. (Les discriminants quadratiques et la congruence de Stickelberger.) (French) Zbl 0731.11061 Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 197-204 (1989). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11R29 11R11 PDFBibTeX XMLCite \textit{J. Martinet}, Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 197--204 (1989; Zbl 0731.11061) Full Text: DOI Numdam EuDML
de Shalit, Ehud A note on norm-coherent units in certain \(Z_ p\)-extensions. (English) Zbl 0731.11060 Algebraic number theory - in honor of K. Iwasawa, Proc. Workshop Iwasawa Theory Spec. Values L-Funct., Berkeley/CA (USA) 1987, Adv. Stud. Pure Math. 17, 83-88 (1989). Reviewer: A.R.Rajwade (Chandigarh) MSC: 11R27 11R20 11G16 11G15 PDFBibTeX XML
Kida, Yûji Cyclotomic \({\mathbb{Z}}_ p\)-extensions of \({\mathbb{Q}}(\sqrt{-1})\) and \({\mathbb{Q}}(\sqrt{-3})\). (English) Zbl 0731.11058 Algebraic number theory - in honor of K. Iwasawa, Proc. Workshop Iwasawa Theory Spec. Values L-Funct., Berkeley/CA (USA) 1987, Adv. Stud. Pure Math. 17, 261-265 (1989). Reviewer: A.R.Rajwade (Chandigarh) MSC: 11R11 11R18 11R23 PDFBibTeX XML
Shafarevich, Igor R. Collected mathematical papers. Translated from the Russian. (English) Zbl 0669.12001 Berlin etc.: Springer-Verlag (ISBN 3-540-13618-5). 784 p. (1989). Reviewer: Jean Dieudonné (Paris) MSC: 12-03 01A75 11R32 14-03 14G25 14G05 17B50 20E18 20F29 PDFBibTeX XMLCite \textit{I. R. Shafarevich}, Collected mathematical papers. Translated from the Russian. Berlin etc.: Springer-Verlag (1989; Zbl 0669.12001)
Yu, Jietai The fundamental units of algebraic function fields. (Chinese) Zbl 0724.11055 Chin. Ann. Math., Ser. A 10, No. 6, 705-713 (1989). Reviewer: Pei Dingyi (Beijing) MSC: 11R58 11R27 PDFBibTeX XMLCite \textit{J. Yu}, Chin. Ann. Math., Ser. A 10, No. 6, 705--713 (1989; Zbl 0724.11055)
Mai, Liem Lower bounds for the ranks of CM types. (English) Zbl 0723.11062 J. Number Theory 32, No. 2, 192-202 (1989). Reviewer: J.A.Antoniadis (Iraklion) MSC: 11R99 11G15 14K22 PDFBibTeX XMLCite \textit{L. Mai}, J. Number Theory 32, No. 2, 192--202 (1989; Zbl 0723.11062) Full Text: DOI
Lewittes, Joseph Genus and gaps in function fields. (English) Zbl 0723.11060 J. Pure Appl. Algebra 58, No. 1, 29-44 (1989). Reviewer: N.L.Manev (Sofia) MSC: 11R58 12F20 14H05 11G20 PDFBibTeX XMLCite \textit{J. Lewittes}, J. Pure Appl. Algebra 58, No. 1, 29--44 (1989; Zbl 0723.11060) Full Text: DOI
Green, Barry Functional equations for zeta functions of non-Gorenstein orders in global fields. (English) Zbl 0723.11058 Manuscr. Math. 64, No. 4, 485-502 (1989). Reviewer: R.W.van der Waall (Amsterdam) MSC: 11R54 PDFBibTeX XMLCite \textit{B. Green}, Manuscr. Math. 64, No. 4, 485--502 (1989; Zbl 0723.11058) Full Text: DOI EuDML
Taylor, M. J. Rings of integers and trace forms for tame extensions of odd degree. (English) Zbl 0723.11055 Math. Z. 202, No. 3, 313-341 (1989). Reviewer: C.Parry (Blacksburg) MSC: 11R33 11R54 11E39 PDFBibTeX XMLCite \textit{M. J. Taylor}, Math. Z. 202, No. 3, 313--341 (1989; Zbl 0723.11055) Full Text: DOI EuDML
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)
Lan, Yizhong A complete determination of the cubic cyclic extension fields of number fields. (English) Zbl 0722.11049 Chin. Sci. Bull. 34, No. 12, 973-976 (1989). Reviewer: K.Lakkis (Thessaloniki) MSC: 11R16 PDFBibTeX XMLCite \textit{Y. Lan}, Chin. Sci. Bull. 34, No. 12, 973--976 (1989; Zbl 0722.11049)
Deninger, Christopher Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. I. (English) Zbl 0721.14004 Invent. Math. 96, No. 1, 1-69 (1989). MSC: 11G40 11R42 11R70 14G10 19F27 PDFBibTeX XMLCite \textit{C. Deninger}, Invent. Math. 96, No. 1, 1--69 (1989; Zbl 0721.14004) Full Text: DOI EuDML
Kleinert, E. Über Relationen zwischen Artinschen L-Funktionen. (On relations between Artin L-functions). (German) Zbl 0721.11048 Abh. Math. Semin. Univ. Hamb. 59, 1-14 (1989). Reviewer: B.Z.Moroz (Bonn) MSC: 11R42 11R45 12F12 PDFBibTeX XMLCite \textit{E. Kleinert}, Abh. Math. Semin. Univ. Hamb. 59, 1--14 (1989; Zbl 0721.11048) Full Text: DOI
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
Olivier, M. Sextic fields containing a quadratic field. I. (Corps sextiques contenant un corps quadratique. I.) (French) Zbl 0719.11087 Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 205-250 (1989). Reviewer: M.Pohst (Düsseldorf) MSC: 11Y40 11R21 11-04 11R29 11R11 PDFBibTeX XMLCite \textit{M. Olivier}, Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 205--250 (1989; Zbl 0719.11087) Full Text: DOI Numdam EuDML
Ono, Mizuki Classification of lattices with \(Z_ m\) symmetry. (English) Zbl 0719.11070 Commun. Math. Phys. 126, No. 1, 25-48 (1989). Reviewer: M.Peters (Münster) MSC: 11R18 11H56 81T30 83E30 PDFBibTeX XMLCite \textit{M. Ono}, Commun. Math. Phys. 126, No. 1, 25--48 (1989; Zbl 0719.11070) Full Text: DOI
Lee, Ronnie; Weintraub, Steven H. A generalization of a theorem of Hecke to the Siegel space of degree two. (English) Zbl 0718.14015 Algebraic topology, Proc. Int. Conf., Evanston/IL 1988, Contemp. Math. 96, 243-259 (1989). Reviewer: A.N.Parshin (Moskva) MSC: 14G35 11F46 11R29 14L30 PDFBibTeX XML
Halter-Koch, F. Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit). (German) Zbl 0718.11054 Abh. Math. Semin. Univ. Hamb. 59, 171-181 (1989). Reviewer: T.Lepistö (Tampere) MSC: 11R27 11R11 PDFBibTeX XMLCite \textit{F. Halter-Koch}, Abh. Math. Semin. Univ. Hamb. 59, 171--181 (1989; Zbl 0718.11054) Full Text: DOI
Wan, Daqing On the Lang-Trotter conjecture about elliptic curves. (English) Zbl 0715.14028 J. Sichuan Univ., Nat. Sci. Ed. 26, Spec. Issue, 41-43 (1989). Reviewer: W.Kleinert MSC: 14H52 11R45 14G40 PDFBibTeX XML
Shioda, Tetsuji Mordell-Weil lattices and Galois representation. III. (English) Zbl 0715.14017 Proc. Japan Acad., Ser. A 65, No. 8, 300-303 (1989). Reviewer: R.-P.Holzapfel MSC: 14G40 11R32 14G10 14J27 11E20 11G05 14H52 PDFBibTeX XMLCite \textit{T. Shioda}, Proc. Japan Acad., Ser. A 65, No. 8, 300--303 (1989; Zbl 0715.14017) Full Text: DOI
Cohen, Henri Class number computation of an imaginary or real quadratic field [after Shanks, Williams, McCurley, A. K. Lenstra and Schnorr]. (Calcul du nombre de classes d’un corps quadratique imaginaire ou réel [d’après Shanks, Williams, McCurley, A. K. Lenstra et Schnorr].) (French) Zbl 0715.11073 Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 117-135 (1989). Reviewer: H. J. Godwin (Egham) MSC: 11Y40 11R29 11R11 11-04 11E16 PDFBibTeX XMLCite \textit{H. Cohen}, Sémin. Théor. Nombres Bordx., Sér. II 1, No. 1, 117--135 (1989; Zbl 0715.11073) Full Text: DOI Numdam EuDML
Kersten, I. On \(K_2\) and \(\mathbb Z_ p\)-extensions of \(\mathbb Q(\zeta_{p^r})\). (English) Zbl 0715.11069 C. R. Math. Acad. Sci., Soc. R. Can. 11, No. 6, 225-229 (1989). MSC: 11R70 11R18 19C99 19D45 PDFBibTeX XMLCite \textit{I. Kersten}, C. R. Math. Acad. Sci., Soc. R. Can. 11, No. 6, 225--229 (1989; Zbl 0715.11069)
Wingberg, Kay On Galois groups of \(p\)-closed algebraic number fields with restricted ramification. (English) Zbl 0715.11065 J. Reine Angew. Math. 400, 185-202 (1989). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R32 11R34 PDFBibTeX XMLCite \textit{K. Wingberg}, J. Reine Angew. Math. 400, 185--202 (1989; Zbl 0715.11065) Full Text: DOI Crelle EuDML
Wingberg, Kay On Demuškin groups with involution. (English) Zbl 0715.11064 Ann. Sci. Éc. Norm. Supér. (4) 22, No. 4, 555-567 (1989). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R32 11R34 11R23 PDFBibTeX XMLCite \textit{K. Wingberg}, Ann. Sci. Éc. Norm. Supér. (4) 22, No. 4, 555--567 (1989; Zbl 0715.11064) Full Text: DOI Numdam EuDML
Wingberg, Kay Galois groups of Poincaré-type over algebraic number fields. (English) Zbl 0715.11063 Galois groups over \(\mathbb Q\), Proc. Workshop, Berkeley/CA (USA) 1987, Publ., Math. Sci. Res. Inst. 16, 439-449 (1989). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R32 11R58 11S20 11R34 PDFBibTeX XML
Kučera, Radan The basis of the Stickelberger ideal and the system of principal circular units of a cyclotomic field. (Russian) Zbl 0715.11060 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 69-74 (1989). Reviewer: Veikko Ennola (Turku) MSC: 11R23 11R27 11R18 11R29 PDFBibTeX XMLCite \textit{R. Kučera}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 69--74 (1989; Zbl 0715.11060) Full Text: EuDML
Miki, Hiroo On the congruence for Gauss sums and its applications. (English) Zbl 0715.11041 Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 633-641 (1989). MSC: 11L05 11R20 11R23 11R47 PDFBibTeX XML
Mazur, B. Deforming Galois representations. (English) Zbl 0714.11076 Galois groups over \({\mathbb{Q}}\), Proc. Workshop, Berkeley/CA (USA) 1987, Publ., Math. Sci. Res. Inst. 16, 385-437 (1989). Reviewer: R.Pink MSC: 11R32 11F70 11S20 14D15 PDFBibTeX XML
Pahlings, H. Some sporadic groups as Galois groups. II. (English) Zbl 0714.11075 Rend. Semin. Mat. Univ. Padova 82, 163-171 (1989). Reviewer: N.Vila MSC: 11R32 12F12 20D08 20F29 11R58 PDFBibTeX XMLCite \textit{H. Pahlings}, Rend. Semin. Mat. Univ. Padova 82, 163--171 (1989; Zbl 0714.11075) Full Text: Numdam EuDML
Schneps, Leila \(\tilde D_ 4\) et \(\hat D_ 4\) comme groupes de Galois. (\(\tilde D_ 4\) and \(\hat D_ 4\) as Galois groups). (French) Zbl 0714.11073 C. R. Acad. Sci., Paris, Sér. I 308, No. 2, 33-36 (1989). Reviewer: J.Brinkhuis MSC: 11R32 12F12 PDFBibTeX XMLCite \textit{L. Schneps}, C. R. Acad. Sci., Paris, Sér. I 308, No. 2, 33--36 (1989; Zbl 0714.11073)
Mollin, R. A.; Williams, H. C. Class number one for real quadratic fields, continued fractions and reduced ideals. (English) Zbl 0714.11067 Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 481-496 (1989). Reviewer: M. D. Hendy (Palmerston North) MSC: 11R29 11R11 11N32 11A55 11R09 PDFBibTeX XML
Mollin, R. A.; Williams, H. C. Quadratic non-residues and prime-producing polynomials. (English) Zbl 0714.11066 Can. Math. Bull. 32, No. 4, 474-478 (1989). Reviewer: M.D.Hendy MSC: 11R29 11N32 11R11 11R09 PDFBibTeX XMLCite \textit{R. A. Mollin} and \textit{H. C. Williams}, Can. Math. Bull. 32, No. 4, 474--478 (1989; Zbl 0714.11066) Full Text: DOI
Li, Delang Sextic cyclic fields containing cubic root of unity. (English) Zbl 0714.11065 Chin. Sci. Bull. 34, No. 22, 1854-1856 (1989). Reviewer: Zhang Xianke MSC: 11R20 11R16 PDFBibTeX XMLCite \textit{D. Li}, Chin. Sci. Bull. 34, No. 22, 1854--1856 (1989; Zbl 0714.11065)
Ţena, Marcel On the unitary subrings of \({\mathbb{C}}\) having a finite number of units. (Romanian) Zbl 0714.11064 Gaz. Mat., Bucur. 94, No. 9, 305-308 (1989). Reviewer: J.Sándor MSC: 11R04 PDFBibTeX XMLCite \textit{M. Ţena}, Gaz. Mat., Bucur. 94, No. 9, 305--308 (1989; Zbl 0714.11064)
Sato, Fumihiro On functional equations of zeta distributions. (English) Zbl 0714.11053 Automorphic forms and geometry of arithmetic varieties, Adv. Stud. Pure Math. 15, 465-508 (1989). Reviewer: R. Sczech MSC: 11M41 11S90 14M17 14G10 11R42 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
Benyash-Krivets, V. V. On the transcendence basis of the function field for the variety of characters of a free group. (Russian. English summary) Zbl 0713.20021 Dokl. Akad. Nauk BSSR 33, No. 4, 297-301 (1989). Reviewer: Yu.N.Mal’tsev MSC: 20E10 12F20 20C15 11R58 16R10 PDFBibTeX XMLCite \textit{V. V. Benyash-Krivets}, Dokl. Akad. Nauk BSSR 33, No. 4, 297--301 (1989; Zbl 0713.20021)
Szydło, Bogdan Über Vorzeichenwechsel einiger arithmetischer Funktionen. III. (On sign-changes of certain arithmetical functions. III). (German) Zbl 0713.11080 Monatsh. Math. 108, No. 4, 325-336 (1989). Reviewer: B.Szydło MSC: 11R44 11N37 11R42 11N05 PDFBibTeX XMLCite \textit{B. Szydło}, Monatsh. Math. 108, No. 4, 325--336 (1989; Zbl 0713.11080) Full Text: DOI
Lu, Hongwen; Zhang, Mingyao On Kronecker limit formula for real quadratic fields. II. (English) Zbl 0713.11079 Sci. China, Ser. A 32, No. 12, 1409-1422 (1989). Reviewer: J.A.Antoniadis MSC: 11R42 11R11 11R29 PDFBibTeX XMLCite \textit{H. Lu} and \textit{M. Zhang}, Sci. China, Ser. A 32, No. 12, 1409--1422 (1989; Zbl 0713.11079)
Li, Delang Class groups of cubic cyclic fields. (Chinese. English summary) Zbl 0713.11076 J. Sichuan Univ., Nat. Sci. Ed. 26, Spec. Issue, 132-135 (1989). Reviewer: J.Liang MSC: 11R29 11R37 11R16 PDFBibTeX XML
Emsalem, Michel Places totalement décomposées dans des \({\mathbb{Z}}_ p\)-extensions d’un corps de nombres. (Completely split places in \({\mathbb{Z}}_ p\)-extensions of a number field). (French) Zbl 0713.11075 Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 160-168 (1989). Reviewer: M.Waldschmidt MSC: 11R27 11J81 14L10 PDFBibTeX XML
Müller, Wolfgang On the asymptotic behaviour of the ideal counting function in quadratic number fields. (English) Zbl 0713.11071 Monatsh. Math. 108, No. 4, 301-323 (1989). Reviewer: Wolfgang Müller (Graz) MSC: 11R47 11N37 PDFBibTeX XMLCite \textit{W. Müller}, Monatsh. Math. 108, No. 4, 301--323 (1989; Zbl 0713.11071) Full Text: DOI EuDML
Sun, Qi On the diophantine equation \(a_ 1x^ d_ 1+\dots +a_ nx^ d_ n=0\). (Chinese. English summary) Zbl 0713.11025 J. Sichuan Univ., Nat. Sci. Ed. 26, Spec. Issue, 55-59 (1989). Reviewer: M.-C.Liu MSC: 11D41 11D72 11R18 PDFBibTeX XML
Garcia, Arnaldo On Weierstrass points on Artin-Schreier extensions of k(x). (English) Zbl 0712.14020 Math. Nachr. 144, 233-239 (1989). Reviewer: E.-U.Gekeler MSC: 14H55 14H05 11R58 PDFBibTeX XMLCite \textit{A. Garcia}, Math. Nachr. 144, 233--239 (1989; Zbl 0712.14020) Full Text: DOI
McCurley, Kevin S. Cryptographic key distribution and computation in class groups. (English) Zbl 0712.11076 Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 459-479 (1989). Reviewer: Hugh C. Williams (Winnipeg) MSC: 11Y16 11Y40 94A60 11R11 11R29 11T71 PDFBibTeX XML
Hurrelbrink, Jurgen Class numbers, units and \(K_2\). (English) Zbl 0712.11068 Algebraic \(K\)-theory: Connections with geometry and topology, Proc. Meet., Lake Louise/Can. 1987, NATO ASI Ser., Ser. C 279, 87-102 (1989). Reviewer: Manfred Kolster (Hamilton/Ontario) MSC: 11R70 11R27 11R29 19C99 PDFBibTeX XML
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
Foote, Richard; Murty, V. Kumar Zeros and poles of Artin L-series. (English) Zbl 0711.11043 Math. Proc. Camb. Philos. Soc. 105, No. 1, 5-11 (1989). Reviewer: S.Kanemitsu MSC: 11R42 11M41 PDFBibTeX XMLCite \textit{R. Foote} and \textit{V. K. Murty}, Math. Proc. Camb. Philos. Soc. 105, No. 1, 5--11 (1989; Zbl 0711.11043) Full Text: DOI
Hoffstein, J.; Jochnowitz, N. On Artin’s conjecture and the class number of certain CM fields. I,II. (English) Zbl 0711.11042 Duke Math. J. 59, No. 2, 553-563, 565-584 (1989). Reviewer: S.Kanemitsu MSC: 11R29 11R42 PDFBibTeX XMLCite \textit{J. Hoffstein} and \textit{N. Jochnowitz}, Duke Math. J. 59, No. 2, 553--563, 565--584 (1989; Zbl 0711.11042) Full Text: DOI
Glesser, Philippe Inégalités sur la mesure des polynômes. (Inequalities concerning the measure of polynomials). (French) Zbl 0711.11037 Rend. Semin. Fac. Sci. Univ. Cagliari 59, No. 1, 1-14 (1989). Reviewer: D.W.Boyd MSC: 11R09 11J81 PDFBibTeX XMLCite \textit{P. Glesser}, Rend. Semin. Fac. Sci. Univ. Cagliari 59, No. 1, 1--14 (1989; Zbl 0711.11037)
Bayer-Fluckiger, Eva Self-dual normal bases. (English) Zbl 0709.12004 Indag. Math. 51, No. 4, 379-383 (1989). Reviewer: M.Kula MSC: 12F05 11E04 11R21 PDFBibTeX XMLCite \textit{E. Bayer-Fluckiger}, Indag. Math. 51, No. 4, 379--383 (1989; Zbl 0709.12004)
Lewis, D. W. Levels of quaternion algebras. (English) Zbl 0709.12002 Rocky Mt. J. Math. 19, No. 3, 787-792 (1989). Reviewer: M.Kula MSC: 12E15 11R52 11E81 11E25 16K20 PDFBibTeX XMLCite \textit{D. W. Lewis}, Rocky Mt. J. Math. 19, No. 3, 787--792 (1989; Zbl 0709.12002) Full Text: DOI
Ono, Takashi A note on the Artin map. (English) Zbl 0709.11062 Proc. Japan Acad., Ser. A 65, No. 8, 304-306 (1989). Reviewer: H.Opolka MSC: 11R37 11R32 12F10 20C05 PDFBibTeX XMLCite \textit{T. Ono}, Proc. Japan Acad., Ser. A 65, No. 8, 304--306 (1989; Zbl 0709.11062) Full Text: DOI
Kersten, Ina; Michaliček, Johannes On Vandiver’s conjecture and \({\mathbb{Z}}_ p\)-extensions of \({\mathbb{Q}}(\zeta_{p^ n})\). (English) Zbl 0709.11058 J. Number Theory 32, No. 3, 371-386 (1989). Reviewer: L.N.Childs MSC: 11R18 11R23 PDFBibTeX XMLCite \textit{I. Kersten} and \textit{J. Michaliček}, J. Number Theory 32, No. 3, 371--386 (1989; Zbl 0709.11058) Full Text: DOI
Kersten, Ina; Michaliček, Johannes \(\mathbb Z_p\)-extensions of complex multiplication fields. (English) Zbl 0709.11057 J. Number Theory 32, No. 2, 131-150 (1989). Reviewer: Lindsay N. Childs (Albany) MSC: 11R18 11R23 PDFBibTeX XMLCite \textit{I. Kersten} and \textit{J. Michaliček}, J. Number Theory 32, No. 2, 131--150 (1989; Zbl 0709.11057) Full Text: DOI
Chinburg, Ted A quaternionic \(L\)-value congruence. (English) Zbl 0708.11063 J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 3, 765-787 (1989). Reviewer: K.I.Ohta MSC: 11R42 PDFBibTeX XMLCite \textit{T. Chinburg}, J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 3, 765--787 (1989; Zbl 0708.11063)
Miyata, Yoshimasa Wildly ramified extensions of prime degree \(p\) and Stickelberger conditions. (English) Zbl 0708.11058 Jap. J. Math., New Ser. 15, No. 1, 157-168 (1989). Reviewer: Teruo Takeuchi (Niigata) MSC: 11R33 PDFBibTeX XMLCite \textit{Y. Miyata}, Jpn. J. Math., New Ser. 15, No. 1, 157--168 (1989; Zbl 0708.11058)
Beale, Stephen; Harrison, D. K. Generalized cyclotomic fields. (English) Zbl 0708.11056 Ill. J. Math. 33, No. 4, 691-703 (1989). Reviewer: Franz Halter-Koch (Graz) MSC: 11R32 12F10 11R18 PDFBibTeX XMLCite \textit{S. Beale} and \textit{D. K. Harrison}, Ill. J. Math. 33, No. 4, 691--703 (1989; Zbl 0708.11056)
Wilson, S. M. J. The isomorphism class of a set of lattices. (English) Zbl 0707.11081 Math. Proc. Camb. Philos. Soc. 105, No. 2, 197-210 (1989). Reviewer: W.Rump MSC: 11R54 11R32 16H05 16P10 PDFBibTeX XMLCite \textit{S. M. J. Wilson}, Math. Proc. Camb. Philos. Soc. 105, No. 2, 197--210 (1989; Zbl 0707.11081) Full Text: DOI
Tilouine, J. On the anticyclotomic main conjecture. (Sur la conjecture principale anticyclotomique.) (French) Zbl 0707.11079 Duke Math. J. 59, No. 3, 629-673 (1989). Reviewer: Roland Gillard (Saint-Martin-d’Hères) MSC: 11R23 11R20 11S80 PDFBibTeX XMLCite \textit{J. Tilouine}, Duke Math. J. 59, No. 3, 629--673 (1989; Zbl 0707.11079) Full Text: DOI
Kamienny, S. Torsion points on elliptic curves over fields of low degree. (English) Zbl 0706.14023 Manuscr. Math. 65, No. 3, 349-355 (1989). Reviewer: M.Morales MSC: 14H52 11R11 14G25 14H25 PDFBibTeX XMLCite \textit{S. Kamienny}, Manuscr. Math. 65, No. 3, 349--355 (1989; Zbl 0706.14023) Full Text: DOI EuDML
Ihara, Yasutaka The Galois representation arising from \(P^ 1-\{0,1,\infty \}\) and Tate twists of even degree. (English) Zbl 0706.14018 Galois groups over \({\mathbb{Q}}\), Proc. Workshop, Berkeley/CA (USA) 1987, Publ., Math. Sci. Res. Inst. 16, 299-313 (1989). Reviewer: A.Buium MSC: 14H30 11R32 14H25 PDFBibTeX XML
Greither, Cornelius Cyclic Galois extensions and normal bases. (English) Zbl 0706.13009 Théorie des nombres, C. R. Conf. Int., Quebec City/Can. 1987, 322-329 (1989). Reviewer: M.Beattie MSC: 13B05 13B02 11R18 PDFBibTeX XML
Coates, John On \(p\)-adic \(L\)-functions. (English) Zbl 0706.11064 Sémin. Bourbaki, Vol. 31, 41e année (1988/1989), Exp. No. 701, Astérisque 177-178, 33-59 (1989). Reviewer: B. Z. Moroz MSC: 11G40 11R23 11S40 14G10 PDFBibTeX XML Full Text: Numdam EuDML
Ichimura, Humio A note on the universal power series for Jacobi sums. (English) Zbl 0706.11063 Proc. Japan Acad., Ser. A 65, No. 7, 256-259 (1989). Reviewer: L.Washington MSC: 11R23 11L05 11R32 PDFBibTeX XMLCite \textit{H. Ichimura}, Proc. Japan Acad., Ser. A 65, No. 7, 256--259 (1989; Zbl 0706.11063) Full Text: DOI
Ichimura, Humio On the coefficients of the universal power series for Jacobi sums. (English) Zbl 0706.11062 J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 1, 1-7 (1989). Reviewer: J.H.Loxton MSC: 11R23 11L05 11S31 11G35 11R32 PDFBibTeX XMLCite \textit{H. Ichimura}, J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 1, 1--7 (1989; Zbl 0706.11062)
Horie, Kuniaki On the class numbers of cyclotomic fields. (English) Zbl 0706.11060 Manuscr. Math. 65, No. 4, 465-477 (1989). Reviewer: L.Washington MSC: 11R18 11R29 PDFBibTeX XMLCite \textit{K. Horie}, Manuscr. Math. 65, No. 4, 465--477 (1989; Zbl 0706.11060) Full Text: DOI EuDML
Ivić, A.; Perelli, A. Mean values of certain zeta-functions on the critical line. (English) Zbl 0706.11049 Lith. Math. J. 29, No. 4, 351-360 (1989); translation from Lit. Mat. Sb. 29, No. 4, 701-714 (1989). Reviewer: D.R.Heath-Brown MSC: 11M06 11M26 11M41 11R42 11F66 PDFBibTeX XMLCite \textit{A. Ivić} and \textit{A. Perelli}, Lith. Math. J. 29, No. 4, 351--360 (1989; Zbl 0706.11049); translation from Lit. Mat. Sb. 29, No. 4, 701--714 (1989) Full Text: DOI
Sładek, Andrzej Witt rings of skew fields. (English) Zbl 0706.11024 Pr. Nauk. Uniw. Śląsk. Katowicach 1079, 50 p. (1989). Reviewer: A.Tschimmel-Faltings MSC: 11E81 19G12 12E15 11E04 11R52 12D15 11E70 PDFBibTeX XML
Laubenbacher, Reinhard C. On the K-theory of \({\mathbb{Z}}G\), G a group of square-free order. (English) Zbl 0705.19009 Algebraic \(K\)-theory: Connections with geometry and topology, Proc. Meet., Lake Louise/Alberta (Can.) 1987, NATO ASI Ser., Ser. C 279, 189-208 (1989). Reviewer: W.W.J.Hulsbergen MSC: 19F99 11R70 20C05 16S34 PDFBibTeX XML
Kolster, Manfred Odd torsion in the tame kernel of totally real number fields. (English) Zbl 0705.19008 Algebraic \(K\)-theory: Connections with geometry and topology, Proc. Meet., Lake Louise/Alberta (Can.) 1987, NATO ASI Ser., Ser. C 279, 177-188 (1989). Reviewer: W. W. J. Hulsbergen MSC: 19F15 11R70 11R80 PDFBibTeX XML
Keune, Frans On the structure of the \(K_ 2\) of the ring of integers in a number field. (English) Zbl 0705.19007 \(K\)-Theory 2, No. 5, 625-645 (1989). Reviewer: G.Gras MSC: 19F05 11R70 11R37 PDFBibTeX XMLCite \textit{F. Keune}, \(K\)-Theory 2, No. 5, 625--645 (1989; Zbl 0705.19007) Full Text: DOI
Conner, P. E.; Hurrelbrink, Jurgen The 4-rank of \(K_ 2(O)\). (English) Zbl 0705.19006 Can. J. Math. 41, No. 5, 932-960 (1989). Reviewer: G.Gras MSC: 19F05 11R70 11R29 11R37 11R11 PDFBibTeX XMLCite \textit{P. E. Conner} and \textit{J. Hurrelbrink}, Can. J. Math. 41, No. 5, 932--960 (1989; Zbl 0705.19006) Full Text: DOI