Salih, N.; Pons, R. Center conditions for a lopsided quartic polynomial vector field. (English) Zbl 1015.34016 Bull. Sci. Math. 126, No. 5, 369-378 (2002). Reviewer: Faouzi Lakrad (Berlin) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{N. Salih} and \textit{R. Pons}, Bull. Sci. Math. 126, No. 5, 369--378 (2002; Zbl 1015.34016) Full Text: DOI
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel Enumerating quartic dihedral extensions of \({\mathbb Q}\). (English) Zbl 1050.11104 Compos. Math. 133, No. 1, 65-93 (2002). Reviewer: Claus Fieker (Sydney) MSC: 11Y40 11R16 11R29 11R45 11R11 PDFBibTeX XMLCite \textit{H. Cohen} et al., Compos. Math. 133, No. 1, 65--93 (2002; Zbl 1050.11104) Full Text: DOI
Girard, Martine Geometry of the group of Weierstrass points of a smooth quartic. (Géométrie du groupe des points de Weierstrass d’une quartique lisse.) (French) Zbl 1002.11054 J. Number Theory 94, No. 1, 103-135 (2002). Reviewer: D.Poulakis (Thessaloniki) MSC: 11G30 14H40 14H45 14H55 PDFBibTeX XMLCite \textit{M. Girard}, J. Number Theory 94, No. 1, 103--135 (2002; Zbl 1002.11054) Full Text: DOI
Xu, Kejian; Qin, Hourong Some Diophantine equations over \(\mathbb{Z}[i]\) and \(\mathbb{Z}[\sqrt{-2}]\) with applications to \(K_2\) of a field. (English) Zbl 0997.11106 Commun. Algebra 30, No. 1, 353-367 (2002). Reviewer: M.E.Keating (London) MSC: 11R70 11D25 19F15 PDFBibTeX XMLCite \textit{K. Xu} and \textit{H. Qin}, Commun. Algebra 30, No. 1, 353--367 (2002; Zbl 0997.11106) Full Text: DOI
Kim, Hyun Kwang; Kim, Jung Soo Evaluation of zeta function of the simplest cubic field at negative odd integers. (English) Zbl 1034.11069 Math. Comput. 71, No. 239, 1243-1162 (2002); errata ibid. 78, No. 265 (2009). Reviewer: Michael Pohst (Berlin) MSC: 11Y40 11R42 11R16 PDFBibTeX XMLCite \textit{H. K. Kim} and \textit{J. S. Kim}, Math. Comput. 71, No. 239, 1243--1162 (2002; Zbl 1034.11069) Full Text: DOI
Louboutin, Stéphane The exponent three class group problem for some real cyclic cubic number fields. (English) Zbl 0999.11068 Proc. Am. Math. Soc. 130, No. 2, 353-361 (2002). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R16 11R29 11R42 PDFBibTeX XMLCite \textit{S. Louboutin}, Proc. Am. Math. Soc. 130, No. 2, 353--361 (2002; Zbl 0999.11068) Full Text: DOI
Swinnerton-Dyer, Peter Arithmetic of diagonal quartic surfaces. II. (English) Zbl 1066.11029 Proc. Lond. Math. Soc., III. Ser. 80, No. 3, 513-544 (2000); corrigenda ibid. 85, No. 3, 564 (2002). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 11G35 11G05 11D25 14D10 14J28 PDFBibTeX XMLCite \textit{P. Swinnerton-Dyer}, Proc. Lond. Math. Soc. (3) 80, No. 3, 513--544 (2002; Zbl 1066.11029) Full Text: DOI
Hoffman, J. W.; Weintraub, S. H. Four dimensional symplectic geometry over the field with three elements and a moduli space of abelian surfaces. (English) Zbl 1223.51005 Note Mat. 20(2000-2001), No. 1, 111-157 (2001). MSC: 51E20 20G40 05B25 11F46 PDFBibTeX XMLCite \textit{J. W. Hoffman} and \textit{S. H. Weintraub}, Note Mat. 20, No. 1, 111--157 (2001; Zbl 1223.51005)
Dujella, Andrej Diophantine \(m\)-tuples and elliptic curves. (English) Zbl 1046.11034 J. Théor. Nombres Bordx. 13, No. 1, 111-124 (2001). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{A. Dujella}, J. Théor. Nombres Bordx. 13, No. 1, 111--124 (2001; Zbl 1046.11034) Full Text: DOI Numdam EuDML EMIS
Brunotte, Horst On trinomial bases of radix representations of algebraic integers. (English) Zbl 0996.11067 Acta Sci. Math. 67, No. 3-4, 521-527 (2001). Reviewer: A.Pethő (Debrecen) MSC: 11R04 11R16 11R21 11A67 PDFBibTeX XMLCite \textit{H. Brunotte}, Acta Sci. Math. 67, No. 3--4, 521--527 (2001; Zbl 0996.11067)
Spearman, Blair K.; Williams, Kenneth S. Integers which are discriminants of bicyclic or cyclic quartic fields. (English) Zbl 1038.11068 JP J. Algebra Number Theory Appl. 1, No. 3, 179-194 (2001). Reviewer: Hideo Yokoi (Aichi) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{B. K. Spearman} and \textit{K. S. Williams}, JP J. Algebra Number Theory Appl. 1, No. 3, 179--194 (2001; Zbl 1038.11068)
Azizi, Abdelmalek; Benhamza, Ikram Determination of the fields \(K={\mathbb Q}(\sqrt d,\sqrt -2)\), the 2-groups of which are of type \((2,2)\). (Détermination des corps \(K={\mathbb Q}(\sqrt d,\sqrt -2)\) dont les 2-groupes de classes sont de type \((2,2)\).) (French) Zbl 1027.11082 Rend. Ist. Mat. Univ. Trieste 33, No. 1-2, 83-104 (2001). Reviewer: E.Benjamin (Belfast / Maine) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{A. Azizi} and \textit{I. Benhamza}, Rend. Ist. Mat. Univ. Trieste 33, No. 1--2, 83--104 (2001; Zbl 1027.11082)
Herrmann, Emanuel; Pethö, Attila \(S\)-integral points on elliptic curves – notes on a paper of B. M. M. de Weger. (English) Zbl 1065.11014 J. Théor. Nombres Bordx. 13, No. 2, 443-451 (2001). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11J86 11G05 PDFBibTeX XMLCite \textit{E. Herrmann} and \textit{A. Pethö}, J. Théor. Nombres Bordx. 13, No. 2, 443--451 (2001; Zbl 1065.11014) Full Text: DOI Numdam EuDML EMIS
Swinnerton-Dyer, Peter The solubility of diagonal cubic surfaces. (English) Zbl 1003.11028 Ann. Sci. Éc. Norm. Supér. (4) 34, No. 6, 891-912 (2001). Reviewer: Roger Heath-Brown (Oxford) MSC: 11G35 14J20 11D25 14G05 11E76 PDFBibTeX XMLCite \textit{P. Swinnerton-Dyer}, Ann. Sci. Éc. Norm. Supér. (4) 34, No. 6, 891--912 (2001; Zbl 1003.11028) Full Text: DOI Numdam EuDML
Beslin, Scott J.; Baney, Douglas J. Another look at factoring polynomials. (English) Zbl 1001.12001 Coll. Math. J. 32, No. 4, 273-275 (2001). Reviewer: George M.Rassias (Athens) MSC: 12D05 12D10 PDFBibTeX XMLCite \textit{S. J. Beslin} and \textit{D. J. Baney}, Coll. Math. J. 32, No. 4, 273--275 (2001; Zbl 1001.12001) Full Text: DOI
Kitaoka, Yoshiyuki Distribution of units of a cubic field with negative discriminant. (English) Zbl 1014.11067 J. Number Theory 91, No. 2, 318-355 (2001). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R27 11R16 PDFBibTeX XMLCite \textit{Y. Kitaoka}, J. Number Theory 91, No. 2, 318--355 (2001; Zbl 1014.11067) Full Text: DOI
Louboutin, Stéphane Class number and class group problems for some non-normal totally real cubic number fields. (English) Zbl 0997.11093 Manuscr. Math. 106, No. 4, 411-427 (2001). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R29 11R16 11R42 PDFBibTeX XMLCite \textit{S. Louboutin}, Manuscr. Math. 106, No. 4, 411--427 (2001; Zbl 0997.11093) Full Text: DOI
Edwards, B. Carter; Shurman, Jerry Folding quartic roots. (English) Zbl 0995.12002 Math. Mag. 74, No. 1, 19-25 (2001). Reviewer: John N.Mordeson (Omaha) MSC: 12E12 12D05 PDFBibTeX XMLCite \textit{B. C. Edwards} and \textit{J. Shurman}, Math. Mag. 74, No. 1, 19--25 (2001; Zbl 0995.12002) Full Text: DOI
Basile, Carmen Laura; Fisher, Thomas Anthony Diagonal cubic equations in four variables with prime coefficients. (English) Zbl 1004.11015 Peyre, Emmanuel (ed.) et al., Rational points on algebraic varieties. Basel: Birkhäuser. Prog. Math. 199, 1-12 (2001). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 11D25 11P32 11G05 PDFBibTeX XMLCite \textit{C. L. Basile} and \textit{T. A. Fisher}, Prog. Math. 199, 1--12 (2001; Zbl 1004.11015)
Bremner, Andrew On squares of squares. II. (English) Zbl 1166.11332 Acta Arith. 99, No. 3, 289-308 (2001). MSC: 11G05 11D25 14G25 PDFBibTeX XMLCite \textit{A. Bremner}, Acta Arith. 99, No. 3, 289--308 (2001; Zbl 1166.11332) Full Text: DOI EuDML
Katayama, Shin-ichi; Levesque, Claude; Nakahara, Toru On the unit group and the class number of certain composita of two real quadratic fields. (English) Zbl 1025.11034 Manuscr. Math. 105, No. 1, 85-101 (2001). Reviewer: Hideo Yokoi (Aichi) MSC: 11R27 11R29 11R16 PDFBibTeX XMLCite \textit{S.-i. Katayama} et al., Manuscr. Math. 105, No. 1, 85--101 (2001; Zbl 1025.11034) Full Text: DOI
Ou, Zhiming M.; Williams, Kenneth S. On the density of cyclic quartic fields. (English) Zbl 0996.11068 Can. Math. Bull. 44, No. 1, 97-104 (2001). Reviewer: Hideo Yokoi (Aichi) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{Z. M. Ou} and \textit{K. S. Williams}, Can. Math. Bull. 44, No. 1, 97--104 (2001; Zbl 0996.11068) Full Text: DOI
Mott, Joe L.; Rose, Kermit Prime-producing cubic polynomials. (English) Zbl 0977.11038 Anderson, Daniel D. (ed.) et al., Ideal theoretic methods in commutative algebra. Proceedings of the conference in honor of Professor James A. Huckaba’s retirement, University of Missouri, Columbia, MO, USA. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 220, 281-317 (2001). Reviewer: Richard A.Mollin (Calgary) MSC: 11N32 11C08 11R29 11R16 PDFBibTeX XMLCite \textit{J. L. Mott} and \textit{K. Rose}, Lect. Notes Pure Appl. Math. 220, 281--317 (2001; Zbl 0977.11038)
Duquesne, Sylvain Integral points on elliptic curves defined by simplest cubic fields. (English) Zbl 0983.11031 Exp. Math. 10, No. 1, 91-102 (2001). Reviewer: Attila Pethő (Debrecen) MSC: 11G05 11Y50 11D25 14H52 PDFBibTeX XMLCite \textit{S. Duquesne}, Exp. Math. 10, No. 1, 91--102 (2001; Zbl 0983.11031) Full Text: DOI Euclid EuDML EMIS
Fichou, G. Group law on the neutral component of the Jacobian of a real curve of genus 2 having many real components. (Loi de groupe sur la composante neutre de la Jacobienne d’une courbe réelle de genre 2 ayant beaucoup de composantes réelles.) (French) Zbl 1033.11031 Manuscr. Math. 104, No. 4, 459-466 (2001). Reviewer: A. Del Centina (Ferrara) MSC: 11G30 14H45 14P05 14H40 PDFBibTeX XMLCite \textit{G. Fichou}, Manuscr. Math. 104, No. 4, 459--466 (2001; Zbl 1033.11031) Full Text: DOI
Flynn, E. Victor; Wetherell, Joseph L. Covering collections and a challenge problem of Serre. (English) Zbl 1049.11066 Acta Arith. 98, No. 2, 197-205 (2001). Reviewer: Bjorn Poonen (Berkeley) MSC: 11G30 14H40 PDFBibTeX XMLCite \textit{E. V. Flynn} and \textit{J. L. Wetherell}, Acta Arith. 98, No. 2, 197--205 (2001; Zbl 1049.11066) Full Text: DOI
Sun, Zhihong Supplements to the theory of quartic residues. (English) Zbl 1049.11007 Acta Arith. 97, No. 4, 361-377 (2001). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11A15 11E25 PDFBibTeX XMLCite \textit{Z. Sun}, Acta Arith. 97, No. 4, 361--377 (2001; Zbl 1049.11007) Full Text: DOI
Bugeaud, Yann On the size of integer solutions of elliptic equations. II. (English) Zbl 1185.11018 Bull. Greek Math. Soc. 43, 125-130 (2000). Reviewer: Florin Nicolae (Berlin) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{Y. Bugeaud}, Bull. Greek Math. Soc. 43, 125--130 (2000; Zbl 1185.11018) Full Text: EuDML
Brown, Ezra Three Fermat trails to elliptic curves. (English) Zbl 0995.11514 Coll. Math. J. 31, No. 3, 162-172 (2000). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{E. Brown}, Coll. Math. J. 31, No. 3, 162--172 (2000; Zbl 0995.11514) Full Text: DOI
Kuba, G.; Müller, Helmut; Nowak, W. G.; Schoissengeier, J. On the distribution of the power of integers of a complex cubic number field. (Zur Verteilung der Potenzen ganzer Zahlen eines komplexen kubischen Zahlkörpers.) (German) Zbl 1008.11039 Abh. Math. Semin. Univ. Hamb. 70, 341-354 (2000). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11P21 11R04 11R47 PDFBibTeX XMLCite \textit{G. Kuba} et al., Abh. Math. Semin. Univ. Hamb. 70, 341--354 (2000; Zbl 1008.11039) Full Text: DOI
Qiu, Derong; Zhang, Xianke Elliptic curves of twin primes over the Gaussian field and Diophantine equations. (English) Zbl 1037.11502 Adv. Math., Beijing 29, No. 3, 279-281 (2000). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{X. Zhang}, Adv. Math., Beijing 29, No. 3, 279--281 (2000; Zbl 1037.11502) Full Text: arXiv
Scheidler, Renate Reduction in purely cubic function fields of unit rank one. (English) Zbl 1035.11057 Bosma, Wieb (ed.), Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2–7, 2000. Proceedings. Berlin: Springer (ISBN 3-540-67695-3). Lect. Notes Comput. Sci. 1838, 515-532 (2000). Reviewer: Robert F. Lax (Baton Rouge) MSC: 11R58 11Y16 11R16 14H05 PDFBibTeX XMLCite \textit{R. Scheidler}, Lect. Notes Comput. Sci. 1838, 515--532 (2000; Zbl 1035.11057)
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel Counting discriminants of number fields of degree up to four. (English) Zbl 0987.11080 Bosma, Wieb (ed.), Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2-7, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1838, 269-283 (2000). Reviewer: M.Pohst (Berlin) MSC: 11Y40 11R16 11R11 11-04 PDFBibTeX XMLCite \textit{H. Cohen} et al., Lect. Notes Comput. Sci. 1838, 269--283 (2000; Zbl 0987.11080)
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel Construction of tables of quartic number fields. (English) Zbl 0987.11079 Bosma, Wieb (ed.), Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2-7, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1838, 257-268 (2000). Reviewer: M.Pohst (Berlin) MSC: 11Y40 11R16 11-04 PDFBibTeX XMLCite \textit{H. Cohen} et al., Lect. Notes Comput. Sci. 1838, 257--268 (2000; Zbl 0987.11079)
Bruin, Nils On powers as sums of two cubes. (English) Zbl 0986.11021 Bosma, Wieb (ed.), Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2-7, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1838, 169-184 (2000). Reviewer: Michael Stoll (Düsseldorf) MSC: 11D25 11Y50 11D41 14G05 14G25 PDFBibTeX XMLCite \textit{N. Bruin}, Lect. Notes Comput. Sci. 1838, 169--184 (2000; Zbl 0986.11021)
Kuwata, Masato; Top, Jaap A singular \(K3\) surface related to sums of consecutive cubes. (English) Zbl 0981.14014 Indag. Math., New Ser. 11, No. 3, 419-435 (2000). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 14J28 11D25 14G25 11G99 PDFBibTeX XMLCite \textit{M. Kuwata} and \textit{J. Top}, Indag. Math., New Ser. 11, No. 3, 419--435 (2000; Zbl 0981.14014) Full Text: DOI arXiv
Kim, Hyun Kwang; Hwang, Hyung Ju Values of zeta functions and class number 1 criterion for the simplest cubic fields. (English) Zbl 0999.11067 Nagoya Math. J. 160, 161-180 (2000). Reviewer: Radan Kučera (Brno) MSC: 11R16 11R42 PDFBibTeX XMLCite \textit{H. K. Kim} and \textit{H. J. Hwang}, Nagoya Math. J. 160, 161--180 (2000; Zbl 0999.11067) Full Text: DOI
Zaharescu, Alexandru A metric symbol for pairs of polynomials over local fields. (English) Zbl 0972.11111 C. R. Math. Acad. Sci., Soc. R. Can. 22, No. 4, 147-150 (2000). Reviewer: Gabriel D.Villa-Salvador (México) MSC: 11S05 11D25 PDFBibTeX XMLCite \textit{A. Zaharescu}, C. R. Math. Acad. Sci., Soc. R. Can. 22, No. 4, 147--150 (2000; Zbl 0972.11111)
Dujella, Andrej Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points. (English) Zbl 0989.11032 Rocky Mt. J. Math. 30, No. 1, 157-164 (2000). Reviewer: Federico Pellarin (Caen) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{A. Dujella}, Rocky Mt. J. Math. 30, No. 1, 157--164 (2000; Zbl 0989.11032) Full Text: DOI arXiv Link
Kim, Jung Soo Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields. (English) Zbl 0974.11025 Proc. Japan Acad., Ser. A 76, No. 9, 129-131 (2000). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G05 11R16 PDFBibTeX XMLCite \textit{J. S. Kim}, Proc. Japan Acad., Ser. A 76, No. 9, 129--131 (2000; Zbl 0974.11025) Full Text: DOI
Gaál, István; Pohst, Michael Computing power integral bases in quartic relative extensions. (English) Zbl 0993.11055 J. Number Theory 85, No. 2, 201-219 (2000). Reviewer: N.Tzanakis (Iraklion) MSC: 11R16 11R21 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{M. Pohst}, J. Number Theory 85, No. 2, 201--219 (2000; Zbl 0993.11055) Full Text: DOI Link
Swan, Richard G. Hilbert’s theorem on positive ternary quartics. (English) Zbl 1026.11045 Bayer-Fluckiger, Eva (ed.) et al., Quadratic forms and their applications. Proceedings of the conference, University College Dublin, Ireland, July 5-9, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 272, 287-292 (2000). Reviewer: N.Schwartz (Passau) MSC: 11E10 13J30 11E76 12D15 PDFBibTeX XMLCite \textit{R. G. Swan}, Contemp. Math. 272, 287--292 (2000; Zbl 1026.11045)
Powers, Victoria; Reznick, Bruce Notes towards a constructive proof of Hilbert’s theorem on ternary quartics. (English) Zbl 1026.11044 Bayer-Fluckiger, Eva (ed.) et al., Quadratic forms and their applications. Proceedings of the conference, University College Dublin, Ireland, July 5-9, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 272, 209-227 (2000). Reviewer: N.Schwartz (Passau) MSC: 11E10 13J30 11E76 PDFBibTeX XMLCite \textit{V. Powers} and \textit{B. Reznick}, Contemp. Math. 272, 209--227 (2000; Zbl 1026.11044)
Poulakis, Dimitrios; Voskos, Evaggelos On the practical solution of genus zero Diophantine equations. (English) Zbl 0985.11051 J. Symb. Comput. 30, No. 5, 573-582 (2000). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11Y50 11R21 11D59 PDFBibTeX XMLCite \textit{D. Poulakis} and \textit{E. Voskos}, J. Symb. Comput. 30, No. 5, 573--582 (2000; Zbl 0985.11051) Full Text: DOI
Coward, Daniel R. Some sums of two rational cubes. (English) Zbl 0983.11030 Q. J. Math. 51, No. 4, 451-464 (2000). Reviewer: Roelof J.Stroeker (Rotterdam) MSC: 11G05 11D25 14G05 PDFBibTeX XMLCite \textit{D. R. Coward}, Q. J. Math. 51, No. 4, 451--464 (2000; Zbl 0983.11030) Full Text: DOI
Scheidler, R. Purely cubic complex function fields with small units. (English) Zbl 1160.11363 Acta Arith. 95, No. 4, 289-304 (2000). MSC: 11R58 11R16 11R27 14H05 PDFBibTeX XMLCite \textit{R. Scheidler}, Acta Arith. 95, No. 4, 289--304 (2000; Zbl 1160.11363) Full Text: DOI EuDML Link
Miura, Kei Field theory for function fields of singular plane quartic curves. (English) Zbl 0986.14016 Bull. Aust. Math. Soc. 62, No. 2, 193-204 (2000). Reviewer: Augusto Nobile (Baton Rouge) MSC: 14H05 14H20 12F20 PDFBibTeX XMLCite \textit{K. Miura}, Bull. Aust. Math. Soc. 62, No. 2, 193--204 (2000; Zbl 0986.14016) Full Text: DOI
Yoshida, Shin-ichi On the equation \(y^2=x^3+pqx\). (English) Zbl 0983.11033 Comment. Math. Univ. St. Pauli 49, No. 1, 23-42 (2000). Reviewer: Roelof J.Stroeker (Rotterdam) MSC: 11G05 14H52 11D25 PDFBibTeX XMLCite \textit{S.-i. Yoshida}, Comment. Math. Univ. St. Pauli 49, No. 1, 23--42 (2000; Zbl 0983.11033)
Azizi, Abdelmalek Capitulation of the 2-ideal classes of \(\mathbb{Q}(\sqrt{p_1p_2},i)\) where \(p_1\) and \(p_2\) are primes such that \(p_1\equiv 1 \pmod 8\), \(p_2\equiv 5 \pmod 8\) and \(\left(\frac{p_1}{p_2}\right)=-1\). (English) Zbl 1003.11050 Boulagouaz, M’hammed (ed.) et al., Algebra and number theory. Proceedings of a conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 208, 13-19 (2000). Reviewer: Charles Parry (Blacksburg) MSC: 11R29 11R16 11R11 PDFBibTeX XMLCite \textit{A. Azizi}, Lect. Notes Pure Appl. Math. 208, 13--19 (2000; Zbl 1003.11050)
Dujella, Andrej; Pethő, Attila Integer points on a family of elliptic curves. (English) Zbl 0960.11019 Publ. Math. Debr. 56, No. 3-4, 321-335 (2000). MSC: 11D25 11G05 11D09 11Y50 PDFBibTeX XMLCite \textit{A. Dujella} and \textit{A. Pethő}, Publ. Math. Debr. 56, No. 3--4, 321--335 (2000; Zbl 0960.11019)
Pethő, Attila; Zimmer, Horst G. \(S\)-integer points on elliptic curves, theory and practice. (English) Zbl 0973.11107 Halter-Koch, Franz (ed.) et al., Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30-September 5, 1998. Berlin: Walter de Gruyter. 351-363 (2000). Reviewer: Roelof J.Stroeker (Rotterdam) MSC: 11Y50 11D25 11G05 PDFBibTeX XMLCite \textit{A. Pethő} and \textit{H. G. Zimmer}, in: Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30--September 5, 1998. Berlin: Walter de Gruyter. 351--363 (2000; Zbl 0973.11107)
Kida, Masanari Computing elliptic curves having good reduction everywhere over quadratic fields. II. (English) Zbl 1001.11024 Halter-Koch, Franz (ed.) et al., Algebraic number theory and Diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30-September 5, 1998. Berlin: Walter de Gruyter. 239-247 (2000). Reviewer: Horst G.Zimmer (Saarbrücken) MSC: 11G05 11Y50 11D25 PDFBibTeX XMLCite \textit{M. Kida}, in: Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30--September 5, 1998. Berlin: Walter de Gruyter. 239--247 (2000; Zbl 1001.11024)
Cao, Zhenfu; Mu, Shanzhi; Dong, Xiaolei A new proof of a conjecture of Antoniadis. (English) Zbl 0958.11025 J. Number Theory 83, No. 2, 185-193 (2000). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 11D25 PDFBibTeX XMLCite \textit{Z. Cao} et al., J. Number Theory 83, No. 2, 185--193 (2000; Zbl 0958.11025) Full Text: DOI
Siksek, Samir The Hasse principle for a class of cubic surfaces. (English) Zbl 0962.11019 Arab J. Math. Sci. 6, No. 1, 85-87 (2000). Reviewer: D.Poulakis (Thessaloniki) MSC: 11D25 14G05 14J20 PDFBibTeX XMLCite \textit{S. Siksek}, Arab J. Math. Sci. 6, No. 1, 85--87 (2000; Zbl 0962.11019)
Otsubo, Noriyuki Selmer groups and zero-cycles on the Fermat quartic surface. (English) Zbl 1018.11033 J. Reine Angew. Math. 525, 113-146 (2000). Reviewer: O.Ninnemann (Berlin) MSC: 11G35 11G40 14C15 14C35 14G25 PDFBibTeX XMLCite \textit{N. Otsubo}, J. Reine Angew. Math. 525, 113--146 (2000; Zbl 1018.11033) Full Text: DOI
Rose, Harvey E. On some elliptic curves with large sha. (English) Zbl 0983.11032 Exp. Math. 9, No. 1, 85-89 (2000). Reviewer: Roelof J.Stroeker (Rotterdam) MSC: 11G05 14H52 11D25 PDFBibTeX XMLCite \textit{H. E. Rose}, Exp. Math. 9, No. 1, 85--89 (2000; Zbl 0983.11032) Full Text: DOI Euclid EuDML
Dujella, Andrej A parametric family of elliptic curves. (English) Zbl 0972.11048 Acta Arith. 94, No. 1, 87-101 (2000). Reviewer: Attila Pethő (Debrecen) MSC: 11G05 11Y50 11D25 PDFBibTeX XMLCite \textit{A. Dujella}, Acta Arith. 94, No. 1, 87--101 (2000; Zbl 0972.11048) Full Text: DOI EuDML
Kishi, Yasuhiro A constructive approach to Spiegelung relations between 3-ranks of absolute ideal class groups and congruent ones modulo \((3)^2\) in quadratic fields. (English) Zbl 0967.11048 J. Number Theory 83, No. 1, 1-49 (2000). Reviewer: Florence Soriano-Gafiuk (Schweyen) MSC: 11R37 11R29 11R16 11R70 11R11 PDFBibTeX XMLCite \textit{Y. Kishi}, J. Number Theory 83, No. 1, 1--49 (2000; Zbl 0967.11048) Full Text: DOI
Poulakis, Dimitrios Corrigendum to the paper “The number of solutions of the Mordell equation”. (English) Zbl 1016.11011 Acta Arith. 92, No. 4, 387-388 (2000). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{D. Poulakis}, Acta Arith. 92, No. 4, 387--388 (2000; Zbl 1016.11011) Full Text: DOI EuDML
Lemmermeyer, Franz Reciprocity laws. From Euler to Eisenstein. (English) Zbl 0949.11002 Springer Monographs in Mathematics. Berlin: Springer. xix, 487 p. (2000). Reviewer: Hans Opolka (Braunschweig) MSC: 11-03 11A15 01-01 11-01 11R18 11R37 PDFBibTeX XMLCite \textit{F. Lemmermeyer}, Reciprocity laws. From Euler to Eisenstein. Berlin: Springer (2000; Zbl 0949.11002)
Scheidler, R.; Stein, A. Voronoi’s algorithm in purely cubic congruence function fields of unit rank 1. (English) Zbl 1042.11068 Math. Comput. 69, No. 231, 1245-1266 (2000). MSC: 11R16 11R27 11R58 11-04 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Math. Comput. 69, No. 231, 1245--1266 (2000; Zbl 1042.11068) Full Text: DOI
Granville, Andrew; Stark, H. M. \(ABC\) implies no “Siegel zeros” for \(L\)-functions of characters with negative discriminant. (English) Zbl 0967.11033 Invent. Math. 139, No. 3, 509-523 (2000). Reviewer: Roger Heath-Brown (Oxford) MSC: 11M20 11D25 11R42 11F11 PDFBibTeX XMLCite \textit{A. Granville} and \textit{H. M. Stark}, Invent. Math. 139, No. 3, 509--523 (2000; Zbl 0967.11033) Full Text: DOI
Buchholz, Ralph H.; MacDougall, James A. When Newton met Diophantus: a study of rational-derived polynomials and their extension to quadratic fields. (English) Zbl 1035.11009 J. Number Theory 81, No. 2, 210-233 (2000). Reviewer: Horst G. Zimmer (Saarbrücken) MSC: 11D25 11D41 11C08 14H52 11R09 14J25 14J27 11G30 14H40 11G05 PDFBibTeX XMLCite \textit{R. H. Buchholz} and \textit{J. A. MacDougall}, J. Number Theory 81, No. 2, 210--233 (2000; Zbl 1035.11009) Full Text: DOI Link
Miura, Kei; Yoshihara, Hisao Field theory for function fields of plane quartic curves. (English) Zbl 0983.11067 J. Algebra 226, No. 1, 283-294 (2000). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 11R58 14H05 PDFBibTeX XMLCite \textit{K. Miura} and \textit{H. Yoshihara}, J. Algebra 226, No. 1, 283--294 (2000; Zbl 0983.11067) Full Text: DOI
Byeon, Dongho Class number 3 problem for the simplest cubic fields. (English) Zbl 0981.11034 Proc. Am. Math. Soc. 128, No. 5, 1319-1323 (2000). Reviewer: Franz Lemmermeyer (Bonn) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{D. Byeon}, Proc. Am. Math. Soc. 128, No. 5, 1319--1323 (2000; Zbl 0981.11034) Full Text: DOI
Grundman, H. G. Explicit resolutions of cubic cusp singularities. (English) Zbl 0999.11023 Math. Comput. 69, No. 230, 815-825 (2000). MSC: 11F41 11Y40 14E15 14G35 11R16 11R42 PDFBibTeX XMLCite \textit{H. G. Grundman}, Math. Comput. 69, No. 230, 815--825 (2000; Zbl 0999.11023) Full Text: DOI
Ling, Shengzhi A remark on the positive definite problem of a binary quartic form. (English) Zbl 0971.11021 Chin. Q. J. Math. 14, No. 1, 43-46 (1999). Reviewer: M.Peters (Münster) MSC: 11E76 11E04 PDFBibTeX XMLCite \textit{S. Ling}, Chin. Q. J. Math. 14, No. 1, 43--46 (1999; Zbl 0971.11021)
Okazaki, Ryotaro Non-normal class number one problem and the least prime power-residue. (English) Zbl 0972.11106 Kanemitsu, Shigeru (ed.) et al., Number theory and its applications. Proceedings of the conference held at the RIMS, Kyoto, Japan, November 10-14, 1997. Dordrecht: Kluwer Academic Publishers. Dev. Math. 2, 273-289 (1999). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{R. Okazaki}, Dev. Math. 2, 273--289 (1999; Zbl 0972.11106)
Adler, Allen Hirzebruch’s curves \(F_1, F_2, F_4, F_{14}, F_{28}\) for \(\mathbb{Q}(\sqrt 7)\). (English) Zbl 0991.11017 Levy, Silvio (ed.), The eightfold way. The beauty of Klein’s quartic curve. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 35, 221-285 (1999). Reviewer: Werner Kleinert (Berlin) MSC: 11F41 14G35 11G30 PDFBibTeX XMLCite \textit{A. Adler}, Math. Sci. Res. Inst. Publ. 35, 221--285 (1999; Zbl 0991.11017) Full Text: Link
Elkies, Noam D. The Klein quartic in number theory. (English) Zbl 0991.11032 Levy, Silvio (ed.), The eightfold way. The beauty of Klein’s quartic curve. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 35, 51-101 (1999). Reviewer: Werner Kleinert (Berlin) MSC: 11G30 11G18 11D41 PDFBibTeX XMLCite \textit{N. D. Elkies}, Math. Sci. Res. Inst. Publ. 35, 51--101 (1999; Zbl 0991.11032) Full Text: Link
Stroeker, Roel J.; Tzanakis, Nikos On the elliptic logarithm method for elliptic Diophantine equations: reflections and an improvement. (English) Zbl 0979.11060 Exp. Math. 8, No. 2, 135-149 (1999). Reviewer: I.Gaál (Debrecen) MSC: 11Y50 11D25 11G05 PDFBibTeX XMLCite \textit{R. J. Stroeker} and \textit{N. Tzanakis}, Exp. Math. 8, No. 2, 135--149 (1999; Zbl 0979.11060) Full Text: DOI Euclid EuDML
Ono, Takashi Shafarevich-Tate set for \(y^4=x^4-\ell^2\). (English) Zbl 1004.11032 Turk. J. Math. 23, No. 4, 557-573 (1999). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{T. Ono}, Turk. J. Math. 23, No. 4, 557--573 (1999; Zbl 1004.11032)
Heath-Brown, D. R. The solubility of diagonal cubic Diophantine equations. (English) Zbl 1029.11010 Proc. Lond. Math. Soc., III. Ser. 79, No. 2, 241-259 (1999). Reviewer: Roger Heath-Brown (Oxford) MSC: 11D25 11G05 14G05 11G35 11G40 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Proc. Lond. Math. Soc. (3) 79, No. 2, 241--259 (1999; Zbl 1029.11010) Full Text: DOI
Yang, Hee-Sun; Kwon, Soun-Hi The non-normal quartic CM-fields and the octic dihedral CM-fields with relative class number two. (English) Zbl 0976.11051 J. Number Theory 79, No. 2, 175-193 (1999). Reviewer: Hideo Yokoi (Aichi) MSC: 11R29 11R21 PDFBibTeX XMLCite \textit{H.-S. Yang} and \textit{S.-H. Kwon}, J. Number Theory 79, No. 2, 175--193 (1999; Zbl 0976.11051)
Lemmermeyer, F. A note on Pépin’s counterexamples to the Hasse principle for curves of genus 1. (English) Zbl 0949.11019 Abh. Math. Semin. Univ. Hamb. 69, 335-345 (1999). Reviewer: D.Poulakis (Thessaloniki) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{F. Lemmermeyer}, Abh. Math. Semin. Univ. Hamb. 69, 335--345 (1999; Zbl 0949.11019) Full Text: DOI arXiv
Kaplansky, Irving A salute to Euler and Dickson on the occasion of Hy’s 65th birthday. (English) Zbl 1017.11014 Lam, T. Y. (ed.) et al., Algebra, \(K\)-theory, groups, and education. On the occasion of Hyman Bass’s 65th birthday. Mainly the proceedings of the conference, Columbia University, New York, NY, November 6-7, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 243, 79-81 (1999). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{I. Kaplansky}, Contemp. Math. 243, 79--81 (1999; Zbl 1017.11014)
Dence, Joseph B.; Dence, Thomas P. Elements of the theory of numbers. (English) Zbl 0932.11001 San Diego, CA: Harcourt/Academic Press. xviii, 517 p. (1999). Reviewer: N.Robbins (San Francisco) MSC: 11-01 11Axx 11P81 11B37 11R11 PDFBibTeX XMLCite \textit{J. B. Dence} and \textit{T. P. Dence}, Elements of the theory of numbers. San Diego, CA: Harcourt/Academic Press (1999; Zbl 0932.11001)
Jenkner, Wolfgang On divisors whose sum is a square. (English) Zbl 0933.11009 Acta Arith. 90, No. 2, 113-120 (1999). Reviewer: Nigel Smart (Bristol) MSC: 11D25 11N25 11G05 PDFBibTeX XMLCite \textit{W. Jenkner}, Acta Arith. 90, No. 2, 113--120 (1999; Zbl 0933.11009) Full Text: DOI EuDML
Wong, Siman Automorphic forms on \(\text{GL}(2)\) and the rank of class groups. (English) Zbl 1005.11059 J. Reine Angew. Math. 515, 125-153 (1999). MSC: 11R29 11F30 11R32 11F70 PDFBibTeX XMLCite \textit{S. Wong}, J. Reine Angew. Math. 515, 125--153 (1999; Zbl 1005.11059) Full Text: DOI
Broberg, Niklas Rational points on cubic surfaces. (English) Zbl 0949.11017 Chalmers University of Technology. The University of Göteborg, Department of Mathematics. Preprint. 38. Göteborg: Chalmers Univ. of Technology and Göteborg University, Department of Mathematics, 18 p. (1999). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11D25 11G35 14G05 11E76 11R47 PDFBibTeX XMLCite \textit{N. Broberg}, Rational points on cubic surfaces. Göteborg: Chalmers Univ. of Technology and Göteborg University, Department of Mathematics (1999; Zbl 0949.11017)
Scheidler, R. Purely cubic function fields with short periods. (English) Zbl 0968.11040 Publ. Math. Debr. 54, No. 3-4, 497-511 (1999). MSC: 11R58 11Y65 11R16 11R27 PDFBibTeX XMLCite \textit{R. Scheidler}, Publ. Math. Debr. 54, No. 3--4, 497--511 (1999; Zbl 0968.11040)
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
Chakraborty, K.; Kulkarni, Manisha V. Solutions of cubic equations in quadratic fields. (English) Zbl 0935.11019 Acta Arith. 89, No. 1, 37-43 (1999). Reviewer: Richard A. Mollin (Calgary) MSC: 11D57 11G05 11D25 11R11 PDFBibTeX XMLCite \textit{K. Chakraborty} and \textit{M. V. Kulkarni}, Acta Arith. 89, No. 1, 37--43 (1999; Zbl 0935.11019) Full Text: DOI EuDML
Poulakis, Dimitrios The number of solutions of the Mordell equation. (English) Zbl 0933.11008 Acta Arith. 88, No. 2, 173-179 (1999). Reviewer: I.Gaál (Debrecen) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{D. Poulakis}, Acta Arith. 88, No. 2, 173--179 (1999; Zbl 0933.11008) Full Text: DOI EuDML
Kable, Anthony C. Power bases in dihedral quartic fields. (English) Zbl 0934.11051 J. Number Theory 76, No. 1, 120-129 (1999). Reviewer: I.Gaál (Debrecen) MSC: 11R16 11R04 PDFBibTeX XMLCite \textit{A. C. Kable}, J. Number Theory 76, No. 1, 120--129 (1999; Zbl 0934.11051) Full Text: DOI
Cremona, J. E. Reduction of binary cubic and quartic forms. (English) Zbl 0927.11020 LMS J. Comput. Math. 2, 62-92 (1999). Reviewer: A.Pethő (Debrecen) MSC: 11E76 12Y05 11R16 11R29 11H55 PDFBibTeX XMLCite \textit{J. E. Cremona}, LMS J. Comput. Math. 2, 64--94 (1999; Zbl 0927.11020) Full Text: DOI Link
Beukers, Frits Integral points on cubic surfaces. (English) Zbl 0936.11019 Gupta, Rajiv (ed.) et al., Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17-22, 1996. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 19, 25-33 (1999). Reviewer: B.Z.Moroz (Bonn) MSC: 11D25 11G35 14G05 14J20 PDFBibTeX XMLCite \textit{F. Beukers}, in: Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17--22, 1996. Providence, RI: American Mathematical Society. 25--33 (1999; Zbl 0936.11019) Backlinks: MO
Bremner, Andrew On squares of squares. (English) Zbl 1126.11320 Acta Arith. 88, No. 3, 289-297 (1999). Reviewer: David A. Clark (MR1683635) MSC: 11G05 11D25 11A99 PDFBibTeX XMLCite \textit{A. Bremner}, Acta Arith. 88, No. 3, 289--297 (1999; Zbl 1126.11320) Full Text: DOI EuDML
Stroeker, Roelof J.; de Weger, Benjamin M. M. Elliptic binomial diophantine equations. (English) Zbl 0920.11014 Math. Comput. 68, No. 227, 1257-1281 (1999). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11D25 11G05 11B65 PDFBibTeX XMLCite \textit{R. J. Stroeker} and \textit{B. M. M. de Weger}, Math. Comput. 68, No. 227, 1257--1281 (1999; Zbl 0920.11014) Full Text: DOI
Azizi, Abdelmalek On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\). (Sur le 2-groupe de classes d’idéaux de \(\mathbb{Q}(\sqrt{d},i)\).) (French) Zbl 0920.11076 Rend. Circ. Mat. Palermo, II. Ser. 48, No. 1, 71-92 (1999). Reviewer: Franz Lemmermeyer (Bonn) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{A. Azizi}, Rend. Circ. Mat. Palermo (2) 48, No. 1, 71--92 (1999; Zbl 0920.11076) Full Text: DOI
Stroeker, Roelof J.; de Weger, Benjamin M. M. Solving elliptic Diophantine equations: the general cubic case. (English) Zbl 0930.11015 Acta Arith. 87, No. 4, 339-365 (1999). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G05 11Y50 11J86 PDFBibTeX XMLCite \textit{R. J. Stroeker} and \textit{B. M. M. de Weger}, Acta Arith. 87, No. 4, 339--365 (1999; Zbl 0930.11015) Full Text: DOI EuDML Link Backlinks: MO
Rizzo, Ottavio G. Average root numbers in families of elliptic curves. (English) Zbl 0944.11019 Proc. Am. Math. Soc. 127, No. 6, 1597-1603 (1999). Reviewer: Federico Pellarin (Paris) MSC: 11G05 14H52 11D25 14H10 PDFBibTeX XMLCite \textit{O. G. Rizzo}, Proc. Am. Math. Soc. 127, No. 6, 1597--1603 (1999; Zbl 0944.11019) Full Text: DOI
Nassirou, Lo Study of the level of certain fields. (Étude du niveau de certains corps.) (French) Zbl 0920.11023 Bull. Belg. Math. Soc. - Simon Stevin 6, No. 1, 131-146 (1999). Reviewer: K.Szymiczek (Tychy) MSC: 11E25 12D15 PDFBibTeX XMLCite \textit{L. Nassirou}, Bull. Belg. Math. Soc. - Simon Stevin 6, No. 1, 131--146 (1999; Zbl 0920.11023)
Macleod, Allan J. A simple practical higher descent for large height rational points on certain elliptic curves. arXiv:math/9904172 Preprint, arXiv:math/9904172 [math.NT] (1999). MSC: 11G05 11Y50 11D25 BibTeX Cite \textit{A. J. Macleod}, ``A simple practical higher descent for large height rational points on certain elliptic curves'', Preprint, arXiv:math/9904172 [math.NT] (1999) Full Text: arXiv
Dong, Xiaolei On the Diophantine equation \(x^3+a^3=Dy^2\). (Chinese. English summary) Zbl 1076.11506 Heilongjiangdaxue Ziran Kexue Xuebao 15, No. 1, 7-11 (1998). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{X. Dong}, J. Nat. Sci. Heilongjiang Univ. 15, No. 1, 7--11 (1998; Zbl 1076.11506)
Minemura, Kenji On totally real cubic fields whose unit groups are of type \(\{\theta + r,\theta + s\}\). (English) Zbl 0933.11051 Proc. Japan Acad., Ser. A 74, No. 10, 156-159 (1998). Reviewer: F.Halter-Koch (Graz) MSC: 11R16 11R80 11R27 PDFBibTeX XMLCite \textit{K. Minemura}, Proc. Japan Acad., Ser. A 74, No. 10, 156--159 (1998; Zbl 0933.11051) Full Text: DOI
Buchholz, Ralph H.; Rathbun, Randall L. Heron triangles and elliptic curves. (English) Zbl 0923.11052 Bull. Aust. Math. Soc. 58, No. 3, 411-421 (1998). Reviewer: Edward J. Barbeau (Toronto) MSC: 11D25 11G05 51N35 14G05 PDFBibTeX XMLCite \textit{R. H. Buchholz} and \textit{R. L. Rathbun}, Bull. Aust. Math. Soc. 58, No. 3, 411--421 (1998; Zbl 0923.11052) Full Text: DOI
Yamamura, Ken Determination of the imaginary normal octic number fields with class number one which are not CM-fields. (English) Zbl 0924.11091 Acta Arith. 86, No. 2, 133-147 (1998). Reviewer: E.Benjamin (Belfast / Maine) MSC: 11R29 11R21 PDFBibTeX XMLCite \textit{K. Yamamura}, Acta Arith. 86, No. 2, 133--147 (1998; Zbl 0924.11091) Full Text: DOI EuDML
Pethő, Attila; Zimmer, Horst G. On a system of norm-equations over cyclic cubic number fields. (English) Zbl 0911.11020 Publ. Math. Debr. 53, No. 3-4, 317-332 (1998). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D57 11R16 11R04 11R09 11G05 PDFBibTeX XMLCite \textit{A. Pethő} and \textit{H. G. Zimmer}, Publ. Math. Debr. 53, No. 3--4, 317--332 (1998; Zbl 0911.11020)
Kraus, Alain On the equation \(a^3+ b^3= c^p\). (Sur l’équation \(a^3+ b^3= c^p\).) (French) Zbl 0923.11054 Exp. Math. 7, No. 1, 1-13 (1998). Reviewer: D.Poulakis (Thessaloniki) MSC: 11D41 11D25 11G05 PDFBibTeX XMLCite \textit{A. Kraus}, Exp. Math. 7, No. 1, 1--13 (1998; Zbl 0923.11054) Full Text: DOI EuDML EMIS