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