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
Kaneko, Kan Voronoi-algorithm expansion of a family with period length going to infinity. (English) Zbl 0917.11055 SUT J. Math. 34, No. 1, 49-62 (1998). Reviewer: C.Levesque (Quebec) MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{K. Kaneko}, SUT J. Math. 34, No. 1, 49--62 (1998; Zbl 0917.11055)
Belabas, K.; Cohen, H. Binary cubic forms and cubic number fields. (English) Zbl 0915.11024 Buell, D. A. (ed.) et al., Computational perspectives on number theory. Proceedings of a conference in honor of A. O. L. Atkin, Chicago, IL, USA, September 1995. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 7, 191-219 (1998). Reviewer: A.Pethő (Debrecen) MSC: 11E76 11R16 11Y40 PDFBibTeX XMLCite \textit{K. Belabas} and \textit{H. Cohen}, AMS/IP Stud. Adv. Math. 7, 191--219 (1998; Zbl 0915.11024)
Smart, Nigel P. The algorithmic resolution of Diophantine equations. (English) Zbl 0907.11001 London Mathematical Society Student Texts. 41. Cambridge: Cambridge University Press. xvi, 243 p. (1998). Reviewer: István Gaál (Debrecen) MSC: 11-02 11Y50 11D25 11D57 11D75 11G05 14G05 11G30 11J86 PDFBibTeX XMLCite \textit{N. P. Smart}, The algorithmic resolution of Diophantine equations. Cambridge: Cambridge University Press (1998; Zbl 0907.11001)
Nemenzo, Fidel Ronquillo All congruent numbers less than 40000. (English) Zbl 0922.11023 Proc. Japan Acad., Ser. A 74, No. 1, 29-31 (1998). Reviewer: Federico Pellarin (Münster) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{F. R. Nemenzo}, Proc. Japan Acad., Ser. A 74, No. 1, 29--31 (1998; Zbl 0922.11023) Full Text: DOI
Scheidler, Renate; Stein, Andreas Unit computation in purely cubic function fields of unit rank 1. (English) Zbl 0935.11051 Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21-25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 592-606 (1998). Reviewer: Claus Fieker (Berlin) MSC: 11Y40 11R27 11R16 11R58 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Lect. Notes Comput. Sci. 1423, 592--606 (1998; Zbl 0935.11051)
Louboutin, Stéphane Computation of relative class numbers of imaginary cyclic fields of 2-power degrees. (English) Zbl 0902.11056 Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21–25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 475-481 (1998). MSC: 11Y40 11R29 11R18 PDFBibTeX XMLCite \textit{S. Louboutin}, Lect. Notes Comput. Sci. 1423, 475--481 (1998; Zbl 0902.11056)
Okazaki, Ryotaro On a Shintani decomposition for a cubic field defined by \(X^3+kX-1=0\). (English) Zbl 0908.11049 Győry, Kálmán (ed.) et al., Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29–August 2, 1996. Berlin: de Gruyter. 445-451 (1998). Reviewer: Franz Lemmermeyer (Bonn) MSC: 11R27 11R16 PDFBibTeX XMLCite \textit{R. Okazaki}, in: Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29--August 2, 1996. Berlin: de Gruyter. 445--451 (1998; Zbl 0908.11049)
Fujiwara, Masahiko \(\theta\)-congruent numbers. (English) Zbl 0920.11035 Győry, Kálmán (ed.) et al., Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29–August 2, 1996. Berlin: de Gruyter. 235-241 (1998). Reviewer: E.L.Cohen (Ottawa) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{M. Fujiwara}, in: Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29--August 2, 1996. Berlin: de Gruyter. 235--241 (1998; Zbl 0920.11035)
Cavallar, Stefania; Lemmermeyer, Franz The Euclidean algorithm in cubic number fields. (English) Zbl 0918.11057 Győry, Kálmán (ed.) et al., Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29–August 2, 1996. Berlin: de Gruyter. 123-146 (1998). Reviewer: H.J.Godwin (Egham) MSC: 11R16 11Y40 PDFBibTeX XMLCite \textit{S. Cavallar} and \textit{F. Lemmermeyer}, in: Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29--August 2, 1996. Berlin: de Gruyter. 123--146 (1998; Zbl 0918.11057) Full Text: arXiv
Bugeaud, Yann On the size of integer solutions of elliptic equations. (English) Zbl 0908.11015 Bull. Aust. Math. Soc. 57, No. 2, 199-206 (1998). Reviewer: D.Poulakis (Thessaloniki) MSC: 11D25 11G05 14H52 PDFBibTeX XMLCite \textit{Y. Bugeaud}, Bull. Aust. Math. Soc. 57, No. 2, 199--206 (1998; Zbl 0908.11015) Full Text: DOI
de Weger, Benjamin M. M. \(A+B=C\) and big Ш’s. (English) Zbl 0917.11020 Q. J. Math., Oxf. II. Ser. 49, No. 193, 105-128 (1998). Reviewer: P.Vojta (Berkeley) MSC: 11G05 11D25 11G40 PDFBibTeX XMLCite \textit{B. M. M. de Weger}, Q. J. Math., Oxf. II. Ser. 49, No. 193, 105--128 (1998; Zbl 0917.11020)
Rusin, David J. Rational triangles with equal area. (English) Zbl 0893.11009 New York J. Math. 4, 1-15 (1998). Reviewer: Edward J.Barbeau (Toronto) MSC: 11D25 11G05 11D09 PDFBibTeX XMLCite \textit{D. J. Rusin}, New York J. Math. 4, 1--15 (1998; Zbl 0893.11009) Full Text: EuDML EMIS
Schaefer, Edward F. Computing a Selmer group of a Jacobian using functions on the curve. (English) Zbl 0889.11021 Math. Ann. 310, No. 3, 447-471 (1998); erratum 339, No. 1, 1 (2007). Reviewer: Edward F.Schaefer (Santa Clara) MSC: 11G10 11G30 14H40 11D25 PDFBibTeX XMLCite \textit{E. F. Schaefer}, Math. Ann. 310, No. 3, 447--471 (1998; Zbl 0889.11021) Full Text: DOI arXiv
Kagawa, Takaaki Determination of elliptic curves with everywhere good reduction over \(\mathbb{Q}(\sqrt{37})\). (English) Zbl 0915.11033 Acta Arith. 83, No. 3, 253-269 (1998). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G05 14H52 11D25 PDFBibTeX XMLCite \textit{T. Kagawa}, Acta Arith. 83, No. 3, 253--269 (1998; Zbl 0915.11033) Full Text: DOI EuDML
Baer, Christine; Rosenberger, Gerhard The equation \(ax^2+by^2+cz^2=dxyz\) over quadratic imaginary fields. (English) Zbl 0930.11012 Result. Math. 33, No. 1-2, 30-39 (1998). Reviewer: Thomas Schmidt (Corvallis) MSC: 11D25 11R04 PDFBibTeX XMLCite \textit{C. Baer} and \textit{G. Rosenberger}, Result. Math. 33, No. 1--2, 30--39 (1998; Zbl 0930.11012) Full Text: DOI
Niklasch, G.; Smart, N. P. Exceptional units in a family of quartic number fields. (English) Zbl 0920.11074 Math. Comput. 67, No. 222, 759-772 (1998). Reviewer: G.Lettl (Graz) MSC: 11R27 11D61 11J86 11R16 PDFBibTeX XMLCite \textit{G. Niklasch} and \textit{N. P. Smart}, Math. Comput. 67, No. 222, 759--772 (1998; Zbl 0920.11074) Full Text: DOI
Gebel, J.; Pethö, A.; Zimmer, H. G. On Mordell’s equation. (English) Zbl 0899.11013 Compos. Math. 110, No. 3, 335-367 (1998). Reviewer: R.P.Steiner (Bowling Green) MSC: 11D25 11G05 14H52 14-04 11-04 PDFBibTeX XMLCite \textit{J. Gebel} et al., Compos. Math. 110, No. 3, 335--367 (1998; Zbl 0899.11013) Full Text: DOI