Wu, Qingquan; Scheidler, Renate An explicit treatment of biquadratic function fields. (English) Zbl 1239.11134 Contrib. Discrete Math. 2, No. 1, 43-60 (2007). MSC: 11R58 11R16 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{R. Scheidler}, Contrib. Discrete Math. 2, No. 1, 43--60 (2007; Zbl 1239.11134)
Parry, Charles J.; Ranalli, Ramona R. The structure of the 2-Sylow subgroups of the ideal class groups of imaginary bicyclic biquadratic fields. (English) Zbl 1165.11079 JP J. Algebra Number Theory Appl. 8, No. 1, 81-105 (2007). Reviewer: Paul Buckingham (Edmonton) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{C. J. Parry} and \textit{R. R. Ranalli}, JP J. Algebra Number Theory Appl. 8, No. 1, 81--105 (2007; Zbl 1165.11079)
Bach, Eric; Ryan, Nathan C. Efficient verification of Tunnell’s criterion. (English) Zbl 1183.11015 Japan J. Ind. Appl. Math. 24, No. 3, 229-239 (2007). Reviewer: Fumio Hazama (Hatoyama) MSC: 11D25 11G05 11D45 11Y16 11E25 PDFBibTeX XMLCite \textit{E. Bach} and \textit{N. C. Ryan}, Japan J. Ind. Appl. Math. 24, No. 3, 229--239 (2007; Zbl 1183.11015) Full Text: DOI
Laoudi, Aïni; Lecacheux, Odile Modular elliptic surfaces and cyclic cubic fields. (Surfaces elliptiques modulaires et corps cubiques cycliques.) (French. English summary) Zbl 1160.14010 Ann. Sci. Math. Qué. 31, No. 1, 51-66 (2007). Reviewer: Junecue Suh (Cambridge, MA) MSC: 11R16 11G16 11G18 14G35 PDFBibTeX XMLCite \textit{A. Laoudi} and \textit{O. Lecacheux}, Ann. Sci. Math. Qué. 31, No. 1, 51--66 (2007; Zbl 1160.14010)
Kreussler, Bernd Solving cubic equations in two variables. (English) Zbl 1218.11033 Ir. Math. Soc. Bull. 60, 45-66 (2007). MSC: 11D25 14G25 11G05 PDFBibTeX XMLCite \textit{B. Kreussler}, Ir. Math. Soc. Bull. 60, 45--66 (2007; Zbl 1218.11033) Full Text: Link
Kreussler, Bernd Elliptic curves – an introduction. (English) Zbl 1154.11325 Ir. Math. Soc. Bull. 60, 39-43 (2007). MSC: 11G05 11-01 14-01 11D25 14G25 14H42 14H52 14H60 33E05 PDFBibTeX XMLCite \textit{B. Kreussler}, Ir. Math. Soc. Bull. 60, 39--43 (2007; Zbl 1154.11325) Full Text: Link
Ziane, M’hammed On the group of units of number fields of degree 2 and 4. (Sur le groupe des unités de corps de nombres de degré 2 et 4.) (French. English summary) Zbl 1196.11150 J. Théor. Nombres Bordx. 19, No. 3, 799-808 (2007). MSC: 11R27 11R11 11R16 11R04 PDFBibTeX XMLCite \textit{M. Ziane}, J. Théor. Nombres Bordx. 19, No. 3, 799--808 (2007; Zbl 1196.11150) Full Text: DOI EuDML
Tekcan, Ahmet On indefinite binary quadratic forms, cubic congruence and elliptic curves. (English) Zbl 1148.11018 Int. J. Contemp. Math. Sci. 2, No. 21-24, 1031-1036 (2007). MSC: 11E16 11G05 11D25 PDFBibTeX XMLCite \textit{A. Tekcan}, Int. J. Contemp. Math. Sci. 2, No. 21--24, 1031--1036 (2007; Zbl 1148.11018) Full Text: DOI Link
Soydan, Gökhan; Demirci, Musa; Ikikardeş, Nazlı Yıldız; Cangül, Ismail Naci Counting the number of Pythagorean triples in finite fields. (English) Zbl 1138.11330 Adv. Theor. Appl. Math. 2, No. 1, 77-82 (2007). MSC: 11G20 14G15 11D25 PDFBibTeX XMLCite \textit{G. Soydan} et al., Adv. Theor. Appl. Math. 2, No. 1, 77--82 (2007; Zbl 1138.11330)
Xu, Kejian; Wang, Yongliang Several Diophantine equations in some rings of integers of quadratic imaginary fields. (English) Zbl 1157.19001 Algebra Colloq. 14, No. 4, 661-668 (2007). Reviewer: Kevin Hutchinson (Dublin) MSC: 19C20 11D25 11R70 PDFBibTeX XMLCite \textit{K. Xu} and \textit{Y. Wang}, Algebra Colloq. 14, No. 4, 661--668 (2007; Zbl 1157.19001) Full Text: DOI
Steuding, Jörn Voronoï’s contribution to modern number theory. (English) Zbl 1146.11001 Šiauliai Math. Semin. 2(10), 67-106 (2007). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-03 01A70 11A55 11B68 11E10 11H55 11N37 11N56 11R16 PDFBibTeX XMLCite \textit{J. Steuding}, Šiauliai Math. Semin. 2(10), 67--106 (2007; Zbl 1146.11001)
Campbell, Garikai; Brady, James Thomas; Nair, Arvind Tiling the unit square with 5 rational triangles. (English) Zbl 1208.11071 Rocky Mt. J. Math. 37, No. 2, 399-418 (2007). MSC: 11G05 11D25 52C20 PDFBibTeX XMLCite \textit{G. Campbell} et al., Rocky Mt. J. Math. 37, No. 2, 399--418 (2007; Zbl 1208.11071) Full Text: DOI Euclid
Cheon, Seung Ju; Kim, Hyun Kwang; Lee, Jun Ho Evaluation of the Dedekind zeta functions of some non-normal totally real cubic fields at negative odd integers. (English) Zbl 1166.11042 Manuscr. Math. 124, No. 4, 551-560 (2007). MSC: 11R42 11R16 PDFBibTeX XMLCite \textit{S. J. Cheon} et al., Manuscr. Math. 124, No. 4, 551--560 (2007; Zbl 1166.11042) Full Text: DOI
Auckly, Dave Solving the quartic with a pencil. (English) Zbl 1134.12001 Am. Math. Mon. 114, No. 1, 29-39 (2007). Reviewer: Juan Gerardo Alcazar (Alcala da Henares) MSC: 12E12 14Q05 14C21 PDFBibTeX XMLCite \textit{D. Auckly}, Am. Math. Mon. 114, No. 1, 29--39 (2007; Zbl 1134.12001) Full Text: DOI arXiv
Heath-Brown, D. R. Cubic forms in 14 variables. (English) Zbl 1135.11031 Invent. Math. 170, No. 1, 199-230 (2007). Reviewer: B. Z. Moroz (Bonn) MSC: 11G35 11D25 11E72 11E76 11P55 14G25 11L15 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Invent. Math. 170, No. 1, 199--230 (2007; Zbl 1135.11031) Full Text: DOI
El Fadil, Lhoussain Computation of a power integral basis of a pure cubic number field. (English) Zbl 1148.11015 Int. J. Contemp. Math. Sci. 2, No. 13-16, 601-606 (2007). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R16 PDFBibTeX XMLCite \textit{L. El Fadil}, Int. J. Contemp. Math. Sci. 2, No. 13--16, 601--606 (2007; Zbl 1148.11015) Full Text: DOI Link
Zhou, Haiyan On tame kernels and ideal class groups. (English) Zbl 1165.11082 Acta Math. Sin., Engl. Ser. 23, No. 10, 1807-1812 (2007). MSC: 11R70 19F15 11R16 11R29 PDFBibTeX XMLCite \textit{H. Zhou}, Acta Math. Sin., Engl. Ser. 23, No. 10, 1807--1812 (2007; Zbl 1165.11082) Full Text: DOI
Elsenhans, Andreas-Stephan; Jahnel, Jörg On the smallest point on a diagonal quartic threefold. (English) Zbl 1133.14023 J. Ramanujan Math. Soc. 22, No. 2, 189-204 (2007). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G05 14G25 14J20 14J30 14J45 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, J. Ramanujan Math. Soc. 22, No. 2, 189--204 (2007; Zbl 1133.14023)
Miyake, Katsuya Two expositions on arithmetic of cubics. (English) Zbl 1160.11047 Kanemitsu, S. (ed.) et al., Number theory. Sailing on the sea of number theory. Proceedings of the 4th China-Japan seminar on number theory, Weihai, China, August 30–September 3, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-810-6/hbk). Series on Number Theory and its Applications 2, 136-154 (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R09 11G05 11R16 PDFBibTeX XMLCite \textit{K. Miyake}, Ser. Number Theory Appl. 2, 136--154 (2007; Zbl 1160.11047) Full Text: DOI
Zhou, Haiyan On the \(p^{2}\)-rank of tame kernels of quadratic fields. (English) Zbl 1166.11044 Commun. Algebra 35, No. 9, 2810-2819 (2007). MSC: 11R70 11R16 13C20 13D15 19C99 PDFBibTeX XMLCite \textit{H. Zhou}, Commun. Algebra 35, No. 9, 2810--2819 (2007; Zbl 1166.11044) Full Text: DOI
Komatsu, Toru Cyclic cubic field with explicit Artin symbols. (English) Zbl 1188.11053 Tokyo J. Math. 30, No. 1, 169-178 (2007). MSC: 11R16 PDFBibTeX XMLCite \textit{T. Komatsu}, Tokyo J. Math. 30, No. 1, 169--178 (2007; Zbl 1188.11053) Full Text: DOI Euclid
Ulas, Maciej Rational points on certain elliptic surfaces. (English) Zbl 1142.11017 Acta Arith. 129, No. 2, 167-185 (2007). Reviewer: Alain Kraus (Paris) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{M. Ulas}, Acta Arith. 129, No. 2, 167--185 (2007; Zbl 1142.11017) Full Text: DOI arXiv
Ziegler, Volker Thomas’ conjecture over function fields. (English) Zbl 1193.11030 J. Théor. Nombres Bordx. 19, No. 1, 289-309 (2007). Reviewer: Alain S. Togbe (Westville) MSC: 11D59 11D25 11Y50 PDFBibTeX XMLCite \textit{V. Ziegler}, J. Théor. Nombres Bordx. 19, No. 1, 289--309 (2007; Zbl 1193.11030) Full Text: DOI Numdam EuDML
Duquesne, Sylvain Elliptic curves associated with simplest quartic fields. (English) Zbl 1123.11018 J. Théor. Nombres Bordx. 19, No. 1, 81-100 (2007). Reviewer: Andreas Schweizer (Exeter) MSC: 11G05 11G50 PDFBibTeX XMLCite \textit{S. Duquesne}, J. Théor. Nombres Bordx. 19, No. 1, 81--100 (2007; Zbl 1123.11018) Full Text: DOI Numdam EuDML Link
Dąbrowski, Andrzej On the integers represented by \(x^4-y^4\). (English) Zbl 1139.11020 Bull. Aust. Math. Soc. 76, No. 1, 133-136 (2007). Reviewer: Alain Kraus (Paris) MSC: 11D41 11F33 11F80 11G05 PDFBibTeX XMLCite \textit{A. Dąbrowski}, Bull. Aust. Math. Soc. 76, No. 1, 133--136 (2007; Zbl 1139.11020) Full Text: DOI
Xu, Kejian On Browkin’s conjecture about the elements of order five in \(K_2(\mathbb Q)\). (English) Zbl 1188.11061 Sci. China, Ser. A 50, No. 1, 116-120 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 11R70 19F15 PDFBibTeX XMLCite \textit{K. Xu}, Sci. China, Ser. A 50, No. 1, 116--120 (2007; Zbl 1188.11061) Full Text: DOI
Ulas, Maciej Rational points on certain hyperelliptic curves over finite fields. (English) Zbl 1131.11039 Bull. Pol. Acad. Sci., Math. 55, No. 2, 97-104 (2007). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11G20 14G15 11D25 PDFBibTeX XMLCite \textit{M. Ulas}, Bull. Pol. Acad. Sci., Math. 55, No. 2, 97--104 (2007; Zbl 1131.11039) Full Text: DOI arXiv
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark Average ranks of elliptic curves: tension between data and conjecture. (English) Zbl 1190.11032 Bull. Am. Math. Soc., New Ser. 44, No. 2, 233-254 (2007). MSC: 11G05 11-02 11D25 11Y35 11Y40 PDFBibTeX XMLCite \textit{B. Bektemirov} et al., Bull. Am. Math. Soc., New Ser. 44, No. 2, 233--254 (2007; Zbl 1190.11032) Full Text: DOI
Draziotis, Konstantinos A. The Ljunggren equation revisited. (English) Zbl 1175.11017 Colloq. Math. 109, No. 1, 9-11 (2007). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11G05 11Y50 PDFBibTeX XMLCite \textit{K. A. Draziotis}, Colloq. Math. 109, No. 1, 9--11 (2007; Zbl 1175.11017) Full Text: DOI
Xia, Honggang On zeros of cubic \(L\)-functions. (English) Zbl 1131.11061 J. Number Theory 124, No. 2, 415-428 (2007). Reviewer: Roger Heath-Brown (Oxford) MSC: 11M41 11M26 11R29 11R42 11R16 PDFBibTeX XMLCite \textit{H. Xia}, J. Number Theory 124, No. 2, 415--428 (2007; Zbl 1131.11061) Full Text: DOI
Bassa, Alp; Stichtenoth, Henning A simplified proof for the limit of a tower over a cubic finite field. (English) Zbl 1109.11056 J. Number Theory 123, No. 1, 154-169 (2007). Reviewer: Thomas Schmidt (Corvallis) MSC: 11R58 11R16 PDFBibTeX XMLCite \textit{A. Bassa} and \textit{H. Stichtenoth}, J. Number Theory 123, No. 1, 154--169 (2007; Zbl 1109.11056) Full Text: DOI
Wittenberg, Olivier Intersections of two quadrics and pencils of curves of genus 1. (Intersections de deux quadriques et pinceaux de courbes de genre 1.) (French) Zbl 1122.14001 Lecture Notes in Mathematics 1901. Berlin: Springer (ISBN 978-3-540-69137-2/pbk). viii, 218 p. (2007). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14-02 11G35 14J20 14J27 14J26 11D25 14G25 14D10 PDFBibTeX XMLCite \textit{O. Wittenberg}, Intersections de deux quadriques et pinceaux de courbes de genre 1. Berlin: Springer (2007; Zbl 1122.14001) Full Text: arXiv
Louboutin, Stéphane R. Efficient computation of root numbers and class numbers of parametrized families of real abelian number fields. (English) Zbl 1109.11065 Math. Comput. 76, No. 257, 455-473 (2007). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11Y40 11R16 11R20 11R29 11R42 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Math. Comput. 76, No. 257, 455--473 (2007; Zbl 1109.11065) Full Text: DOI
Garcia-Selfa, I.; Tornero, Jose M. WITHDRAWN: On the discriminant of elliptic curves with non-trivial torsion. arXiv:0707.1765 Preprint, arXiv:0707.1765 [math.NT] (2007); retraction notice ibid. MSC: 11G05 11R16 BibTeX Cite \textit{I. Garcia-Selfa} and \textit{J. M. Tornero}, ``WITHDRAWN: On the discriminant of elliptic curves with non-trivial torsion'', Preprint, arXiv:0707.1765 [math.NT] (2007); retraction notice ibid. Full Text: arXiv