Pérez A., Amílcar J. Algorithm for finding a biquadratic cyclotomic extension field of \(\mathbb{Q}\). (English) Zbl 1217.11121 Divulg. Mat. 14, No. 1, 59-72 (2006). MSC: 11Y40 11-04 11R16 11R18 11Y16 PDFBibTeX XMLCite \textit{A. J. Pérez A.}, Divulg. Mat. 14, No. 1, 59--72 (2006; Zbl 1217.11121) Full Text: EuDML EMIS
Spearman, Blair K.; Williams, Kenneth S. The proportion of cyclic quartic field discriminants divisible by a given prime. (English) Zbl 1156.11044 Kobe J. Math. 23, No. 1-2, 1-10 (2006). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R47 11R16 11R29 PDFBibTeX XMLCite \textit{B. K. Spearman} and \textit{K. S. Williams}, Kobe J. Math. 23, No. 1--2, 1--10 (2006; Zbl 1156.11044)
Miyake, Katsuya Cubic fields and Mordell curves. (English) Zbl 1202.11034 Zhang, Wenpeng (ed.) et al., Number theory. Tradition and modernization. Papers from the 3rd China-Japan seminar on number theory, Xi’an, China, February 12–16, 2004. New York, NY: Springer (ISBN 978-0-387-30414-4/hbk). Developments in Mathematics 15, 175-183 (2006). Reviewer: Alex Bartel (Pohang) MSC: 11G05 11R16 PDFBibTeX XMLCite \textit{K. Miyake}, Dev. Math. 15, 175--183 (2006; Zbl 1202.11034) Full Text: DOI
Manley, Eric D. On quadratic solutions of \(x^4+py^4=z^4\). (English) Zbl 1139.11018 Rocky Mt. J. Math. 36, No. 3, 1027-1031 (2006). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D25 PDFBibTeX XMLCite \textit{E. D. Manley}, Rocky Mt. J. Math. 36, No. 3, 1027--1031 (2006; Zbl 1139.11018) Full Text: DOI Euclid
Springer, T. A. Some groups of type \(E_7\). (English) Zbl 1160.20044 Nagoya Math. J. 182, 259-284 (2006). MSC: 20G15 20G05 11E04 20G10 PDFBibTeX XMLCite \textit{T. A. Springer}, Nagoya Math. J. 182, 259--284 (2006; Zbl 1160.20044) Full Text: DOI
Spearman, Blair K.; Williams, Kenneth S. The prime ideal factorization of 2 in pure quartic fields with index 2. (English) Zbl 1175.11061 Math. J. Okayama Univ. 48, 43-46 (2006). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{B. K. Spearman} and \textit{K. S. Williams}, Math. J. Okayama Univ. 48, 43--46 (2006; Zbl 1175.11061)
Madore, David A. Weak approximation at places of good reduction on cubic surfaces over function fields. (Approximation faible aux places de bonne réduction sur les surfaces cubiques sur les corps de fonctions.) (French) Zbl 1133.14036 Bull. Soc. Math. Fr. 134, No. 4, 475-485 (2006). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14J26 14G05 14H05 11D25 PDFBibTeX XMLCite \textit{D. A. Madore}, Bull. Soc. Math. Fr. 134, No. 4, 475--485 (2006; Zbl 1133.14036) Full Text: DOI
Schönhage, Arnold Polynomial root separation examples. (English) Zbl 1158.12300 J. Symb. Comput. 41, No. 10, 1080-1090 (2006). MSC: 12D10 68W30 PDFBibTeX XMLCite \textit{A. Schönhage}, J. Symb. Comput. 41, No. 10, 1080--1090 (2006; Zbl 1158.12300) Full Text: DOI
Brunotte, Horst; Huszti, Andrea; Pethő, Attila Bases of canonical number systems in quartic algebraic number fields. (English) Zbl 1193.11099 J. Théor. Nombres Bordx. 18, No. 3, 537-557 (2006). MSC: 11R04 11R16 11A63 11Y40 PDFBibTeX XMLCite \textit{H. Brunotte} et al., J. Théor. Nombres Bordx. 18, No. 3, 537--557 (2006; Zbl 1193.11099) Full Text: DOI Numdam Numdam EuDML EMIS
Alaca, Şaban; Spearman, Blair K.; Williams, Kenneth S. Explicit decomposition of a rational prime in a cubic field. (English) Zbl 1153.11054 Int. J. Math. Math. Sci. 2006, No. 10, 17641, 11 p. (2006). Reviewer: Richard A. Mollin (Calgary) MSC: 11R16 11R09 PDFBibTeX XMLCite \textit{Ş. Alaca} et al., Int. J. Math. Math. Sci. 2006, No. 10, 17641, 11 p. (2006; Zbl 1153.11054) Full Text: DOI EuDML
Fuchs, Clemens; Ziegler, Volker Thomas’s family of Thue equations over functions fields. (English) Zbl 1185.11020 Q. J. Math. 57, No. 1, 81-91 (2006). MSC: 11D59 11D25 PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{V. Ziegler}, Q. J. Math. 57, No. 1, 81--91 (2006; Zbl 1185.11020) Full Text: DOI
Narkiewicz, Władysław Polynomial cycles in cubic fields of negative discriminant. (English) Zbl 1196.37130 Funct. Approximatio, Comment. Math. 35, 261-269 (2006). MSC: 37P05 11R09 11R16 37C25 PDFBibTeX XMLCite \textit{W. Narkiewicz}, Funct. Approximatio, Comment. Math. 35, 261--269 (2006; Zbl 1196.37130) Full Text: DOI Euclid
Louboutin, Stéphane R. The class-number one problem for some real cubic number fields with negative discriminants. (English) Zbl 1171.11057 J. Number Theory 121, No. 1, 30-39 (2006). MSC: 11R16 11R29 11R42 PDFBibTeX XMLCite \textit{S. R. Louboutin}, J. Number Theory 121, No. 1, 30--39 (2006; Zbl 1171.11057) Full Text: DOI
Kim, Sey On congruence relations between the fundamental units of biquadratic fields. (English) Zbl 1171.11327 J. Number Theory 121, No. 1, 7-29 (2006). MSC: 11R16 11R27 11R42 PDFBibTeX XMLCite \textit{S. Kim}, J. Number Theory 121, No. 1, 7--29 (2006; Zbl 1171.11327) Full Text: DOI
Daileda, Ryan C. Non-abelian number fields with very large class numbers. (English) Zbl 1158.11044 Acta Arith. 125, No. 3, 215-255 (2006). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11F12 11R29 11R42 PDFBibTeX XMLCite \textit{R. C. Daileda}, Acta Arith. 125, No. 3, 215--255 (2006; Zbl 1158.11044) Full Text: DOI
Zhou, Haiyan Tame kernels of cubic cyclic fields. (English) Zbl 1152.11048 Acta Arith. 124, No. 4, 293-313 (2006). MSC: 11R70 11R16 19F15 PDFBibTeX XMLCite \textit{H. Zhou}, Acta Arith. 124, No. 4, 293--313 (2006; Zbl 1152.11048) Full Text: DOI
Vargas, J. A. Matrices of linear forms and curves. (English) Zbl 1107.15010 Linear Algebra Appl. 418, No. 2-3, 363-379 (2006). Reviewer: A. Arvanitoyeorgos (Rion) MSC: 15A30 20G15 PDFBibTeX XMLCite \textit{J. A. Vargas}, Linear Algebra Appl. 418, No. 2--3, 363--379 (2006; Zbl 1107.15010) Full Text: DOI
Silvester, Alan K.; Spearman, Blair K.; Williams, Kenneth S. Cyclic cubic fields of given conductor and given index. (English) Zbl 1104.11047 Can. Math. Bull. 49, No. 3, 472-480 (2006). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{A. K. Silvester} et al., Can. Math. Bull. 49, No. 3, 472--480 (2006; Zbl 1104.11047) Full Text: DOI
MacLeod, Allan J. 14-term arithmetic progressions on quartic elliptic curves. (English) Zbl 1101.11018 J. Integer Seq. 9, No. 1, Article 06.1.2, 4 p. (2006). Reviewer: Alain Kraus (Paris) MSC: 11G05 11D25 11B25 PDFBibTeX XMLCite \textit{A. J. MacLeod}, J. Integer Seq. 9, No. 1, Article 06.1.2, 4 p. (2006; Zbl 1101.11018) Full Text: EuDML EMIS
Zhu, Huilin; Chen, Jianhua Integral points on a class of elliptic curve. (English) Zbl 1122.11018 Wuhan Univ. J. Nat. Sci. 11, No. 3, 477-480 (2006). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{H. Zhu} and \textit{J. Chen}, Wuhan Univ. J. Nat. Sci. 11, No. 3, 477--480 (2006; Zbl 1122.11018) Full Text: DOI
Bhargava, Manjul Higher composition laws and applications. (English) Zbl 1129.11049 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 271-294 (2006). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R29 11R45 11R16 11E12 11E20 11E76 PDFBibTeX XMLCite \textit{M. Bhargava}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 271--294 (2006; Zbl 1129.11049)
Jeon, Daeyeol; Kim, Chang Heon; Park, Euisung On the torsion of elliptic curves over quartic number fields. (English) Zbl 1165.11054 J. Lond. Math. Soc., II. Ser. 74, No. 1, 1-12 (2006). Reviewer: Andreas Schweizer (Hsinchu) MSC: 11G05 11G18 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Lond. Math. Soc., II. Ser. 74, No. 1, 1--12 (2006; Zbl 1165.11054) Full Text: DOI
Sun, Zhihong On the number of incongruent residues of \(x^4+ax^2+bx\) modulo \(p\). (English) Zbl 1205.11009 J. Number Theory 119, No. 2, 210-241 (2006). Reviewer: Pieter Moree (Bonn) MSC: 11A07 11A15 11G20 11L10 PDFBibTeX XMLCite \textit{Z. Sun}, J. Number Theory 119, No. 2, 210--241 (2006; Zbl 1205.11009) Full Text: DOI
Chahal, Jasbir S. Congruent numbers and elliptic curves. (English) Zbl 1099.11030 Am. Math. Mon. 113, No. 4, 308-317 (2006). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{J. S. Chahal}, Am. Math. Mon. 113, No. 4, 308--317 (2006; Zbl 1099.11030) Full Text: DOI
Fuchs, Clemens; Ziegler, Volker On a family of Thue equations over function fields. (English) Zbl 1103.11009 Monatsh. Math. 147, No. 1, 11-23 (2006). Reviewer: Alain S. Togbe (Westville) MSC: 11D59 11D25 11Y50 PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{V. Ziegler}, Monatsh. Math. 147, No. 1, 11--23 (2006; Zbl 1103.11009) Full Text: DOI
Draziotis, Konstantinos; Poulakis, Dimitrios Practical solution of the Diophantine equation \( y^2 = x(x+2^ap^b)(x-2^ap^b)\). (English) Zbl 1119.11073 Math. Comput. 75, No. 255, 1585-1593 (2006). Reviewer: Alain S. Togbe (Westville) MSC: 11Y50 11D25 11G05 PDFBibTeX XMLCite \textit{K. Draziotis} and \textit{D. Poulakis}, Math. Comput. 75, No. 255, 1585--1593 (2006; Zbl 1119.11073) Full Text: DOI
Girard, Martine The group of Weierstrass points of a plane quartic with at least eight hyperflexes. (English) Zbl 1119.14030 Math. Comput. 75, No. 255, 1561-1583 (2006). Reviewer: D. Poulakis (Thessaloniki) MSC: 14H55 11G30 14Q05 14H40 PDFBibTeX XMLCite \textit{M. Girard}, Math. Comput. 75, No. 255, 1561--1583 (2006; Zbl 1119.14030) Full Text: DOI
Draziotis, Konstantinos A. Integer points on the curve \( Y^{2}=X^{3}\pm p^{k}X\). (English) Zbl 1093.11020 Math. Comput. 75, No. 255, 1493-1505 (2006). Reviewer: Alain Kraus (Paris) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{K. A. Draziotis}, Math. Comput. 75, No. 255, 1493--1505 (2006; Zbl 1093.11020) Full Text: DOI
Nart, Enric; Ritzenthaler, Christophe Non-hyperelliptic curves of genus three over finite fields of characteristic two. (English) Zbl 1102.14019 J. Number Theory 116, No. 2, 443-473 (2006). Reviewer: Robert F. Lax (Baton Rouge) MSC: 14H25 14H10 14H45 14G15 11G20 11G10 PDFBibTeX XMLCite \textit{E. Nart} and \textit{C. Ritzenthaler}, J. Number Theory 116, No. 2, 443--473 (2006; Zbl 1102.14019) Full Text: DOI arXiv