Azizi, Abdelmalek; Benhamza, Ikram On the capitulation of 2-ideal classes of \(\mathbb Q(\sqrt{d},\sqrt{-2})\). (Sur la capitulation des 2-classes d’idéaux de \(\mathbb Q(\sqrt{d},\sqrt{-2})\).) (French. English summary) Zbl 1217.11097 Ann. Sci. Math. Qué. 29, No. 1, 1-20 (2005). MSC: 11R29 11R16 11R37 PDFBibTeX XMLCite \textit{A. Azizi} and \textit{I. Benhamza}, Ann. Sci. Math. Qué. 29, No. 1, 1--20 (2005; Zbl 1217.11097) Full Text: Link
Hessami Pilehrood, Kh.; Hessami Pilehrood, T. On sums of two rational cubes. (English) Zbl 1155.11315 Indian J. Pure Appl. Math. 36, No. 12, 707-717 (2005). Reviewer: Olaf Ninnemann (Berlin) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{Kh. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, Indian J. Pure Appl. Math. 36, No. 12, 707--717 (2005; Zbl 1155.11315)
Reich, Nils On units and class numbers of pure cubic fields. (English) Zbl 1117.11059 Mathematika 52, No. 1-2, 87-91 (2005). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{N. Reich}, Mathematika 52, No. 1--2, 87--91 (2005; Zbl 1117.11059) Full Text: DOI
Feng, Ke Qin; Yang, Jing; Luo, Shi Xin Gauss sum of index 4. I: Cyclic case. (English) Zbl 1123.11041 Acta Math. Sin., Engl. Ser. 21, No. 6, 1425-1434 (2005). Reviewer: Sergey Stepanov (Moskva) MSC: 11T24 11L05 PDFBibTeX XMLCite \textit{K. Q. Feng} et al., Acta Math. Sin., Engl. Ser. 21, No. 6, 1425--1434 (2005; Zbl 1123.11041) Full Text: DOI
Lahlou, Ouafae; Farhane, Ahmed On the extreme points in a cubic order. (Sur les points extrémaux dans un ordre cubique.) (French. English summary) Zbl 1186.11066 Bull. Belg. Math. Soc. - Simon Stevin 12, No. 3, 449-459 (2005). Reviewer: Claude Levesque (Québec) MSC: 11R16 11Y40 PDFBibTeX XMLCite \textit{O. Lahlou} and \textit{A. Farhane}, Bull. Belg. Math. Soc. - Simon Stevin 12, No. 3, 449--459 (2005; Zbl 1186.11066) Full Text: Euclid
Bhargava, Manjul The density of discriminants of quartic rings and fields. (English) Zbl 1159.11045 Ann. Math. (2) 162, No. 2, 1031-1063 (2005). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R45 11R16 11R29 PDFBibTeX XMLCite \textit{M. Bhargava}, Ann. Math. (2) 162, No. 2, 1031--1063 (2005; Zbl 1159.11045) Full Text: DOI Euclid
Gerth, Frank III On 3-class groups of certain pure cubic fields. (English) Zbl 1159.11043 Bull. Aust. Math. Soc. 72, No. 3, 471-476 (2005). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{F. Gerth III}, Bull. Aust. Math. Soc. 72, No. 3, 471--476 (2005; Zbl 1159.11043) Full Text: DOI
Kloosterman, Remke The \(p\)-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large. (English) Zbl 1153.11313 J. Théor. Nombres Bordx. 17, No. 3, 787-800 (2005). MSC: 11G05 11D25 14G25 14H25 PDFBibTeX XMLCite \textit{R. Kloosterman}, J. Théor. Nombres Bordx. 17, No. 3, 787--800 (2005; Zbl 1153.11313) Full Text: DOI arXiv Numdam EuDML
Louboutin, Stéphane R. On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes. (English) Zbl 1091.11039 J. Théor. Nombres Bordx. 17, No. 2, 559-573 (2005). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R29 11R16 11R18 11R42 PDFBibTeX XMLCite \textit{S. R. Louboutin}, J. Théor. Nombres Bordx. 17, No. 2, 559--573 (2005; Zbl 1091.11039) Full Text: DOI Numdam Numdam EuDML
Olajos, Péter Power integral bases in the family of simplest quartic fields. (English) Zbl 1092.11042 Exp. Math. 14, No. 2, 129-132 (2005). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11D57 11R04 11Y50 PDFBibTeX XMLCite \textit{P. Olajos}, Exp. Math. 14, No. 2, 129--132 (2005; Zbl 1092.11042) Full Text: DOI Euclid EuDML
Howe, Everett W.; Lauter, Kristin E.; Top, Jaap Pointless curves of genus three and four. (English) Zbl 1116.14010 Aubry, Yves (ed.) et al., Arithmetic, geometry and coding theory (AGCT 2003). Selected papers of the European school “Algebraic geometry and information theory” and the 9th international conference “Arithmetic, geometry and coding theory”, Luminy, France, May 19–23, 2003. Paris: Société Mathématique de France (ISBN 2-85629-175-9/pbk). Séminaires et Congrès 11, 125-141 (2005). MSC: 14G05 11G20 14H25 14G10 14G15 14H45 PDFBibTeX XMLCite \textit{E. W. Howe} et al., Sémin. Congr. 11, 125--141 (2005; Zbl 1116.14010) Full Text: arXiv Link
Kihel, Omar; Levesque, Claude On the Diophantine equation \(X^4-DY^4=\pm Z^2\) and its associated elliptic curve \(V^2=U^3-DU\). (English) Zbl 1078.11018 Int. J. Pure Appl. Math. 21, No. 3, 369-388 (2005). Reviewer: Alain Kraus (Paris) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{O. Kihel} and \textit{C. Levesque}, Int. J. Pure Appl. Math. 21, No. 3, 369--388 (2005; Zbl 1078.11018)
Marušič, Dragan Quartic half-arc-transitive graphs with large vertex stabilizers. (English) Zbl 1073.05036 Discrete Math. 299, No. 1-3, 180-193 (2005). MSC: 05C25 PDFBibTeX XMLCite \textit{D. Marušič}, Discrete Math. 299, No. 1--3, 180--193 (2005; Zbl 1073.05036) Full Text: DOI
Louboutin, Stéphane R. The Brauer-Siegel theorem. (English) Zbl 1078.11064 J. Lond. Math. Soc., II. Ser. 72, No. 1, 40-52 (2005). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11R29 11R16 PDFBibTeX XMLCite \textit{S. R. Louboutin}, J. Lond. Math. Soc., II. Ser. 72, No. 1, 40--52 (2005; Zbl 1078.11064) Full Text: DOI
McCall, Thomas M.; Parry, Charles J. Imaginary bicyclic biquadratic fields with elementary 2-class group. (English) Zbl 1122.11071 JP J. Algebra Number Theory Appl. 5, No. 1, 173-195 (2005). Reviewer: Jean-François Jaulent (Talence) MSC: 11R16 11R29 11R11 PDFBibTeX XMLCite \textit{T. M. McCall} and \textit{C. J. Parry}, JP J. Algebra Number Theory Appl. 5, No. 1, 173--195 (2005; Zbl 1122.11071)
Wong, Siman Densities of quartic fields with even Galois groups. (English) Zbl 1106.11041 Proc. Am. Math. Soc. 133, No. 10, 2873-2881 (2005). Reviewer: Nuria Vila (Barcelona) MSC: 11R45 11R16 11R29 11G05 PDFBibTeX XMLCite \textit{S. Wong}, Proc. Am. Math. Soc. 133, No. 10, 2873--2881 (2005; Zbl 1106.11041) Full Text: DOI
Lettl, Günter Thue equations over algebraic function fields. (English) Zbl 1073.11020 Acta Arith. 117, No. 2, 107-123 (2005). Reviewer: Alain S. Togbe (Westville) MSC: 11D59 11R58 14G05 11D25 PDFBibTeX XMLCite \textit{G. Lettl}, Acta Arith. 117, No. 2, 107--123 (2005; Zbl 1073.11020) Full Text: DOI
Chinta, Gautam Mean values of biquadratic zeta functions. (English) Zbl 1161.11403 Invent. Math. 160, No. 1, 145-163 (2005). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11R16 PDFBibTeX XMLCite \textit{G. Chinta}, Invent. Math. 160, No. 1, 145--163 (2005; Zbl 1161.11403) Full Text: DOI
Browkin, Jerzy Tame kernels of cubic cyclic fields. (English) Zbl 1137.11351 Math. Comput. 74, No. 250, 967-999 (2005). MSC: 11R70 11R16 19F15 11Y40 PDFBibTeX XMLCite \textit{J. Browkin}, Math. Comput. 74, No. 250, 967--999 (2005; Zbl 1137.11351) Full Text: DOI
Ahmad, Hamza The Witt kernels of purely inseparable quartic extensions. (English) Zbl 1116.11025 Linear Algebra Appl. 395, 265-273 (2005). MSC: 11E81 11E04 PDFBibTeX XMLCite \textit{H. Ahmad}, Linear Algebra Appl. 395, 265--273 (2005; Zbl 1116.11025) Full Text: DOI