Ziane, M’hammed Fundamental systems of units of certain families of quartic number fields. (Systèmes fondamentaux d’unités de certaines familles de corps de nombres quartiques.) (French) Zbl 1106.11038 Ann. Sci. Math. Qué. 28, No. 1-2, 225-227 (2004). Reviewer: Claude Levesque (Québec) MSC: 11R27 11R16 PDFBibTeX XMLCite \textit{M. Ziane}, Ann. Sci. Math. Qué. 28, No. 1--2, 225--227 (2004; Zbl 1106.11038)
Miyake, Katsuya An introduction to elliptic curves and their Diophantine geometry – Mordell curves. (English) Zbl 1102.11030 Ann. Sci. Math. Qué. 28, No. 1-2, 165-178 (2004). Reviewer: Remke Kloosterman (Hannover) MSC: 11G05 11D25 14G25 PDFBibTeX XMLCite \textit{K. Miyake}, Ann. Sci. Math. Qué. 28, No. 1--2, 165--178 (2004; Zbl 1102.11030)
Williams, Kenneth S. An extension of Vulakh’s theorem on units in complex cubic fields. (English) Zbl 1095.11051 Far East J. Math. Sci. (FJMS) 14, No. 1, 1-7 (2004). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R27 11R09 PDFBibTeX XMLCite \textit{K. S. Williams}, Far East J. Math. Sci. (FJMS) 14, No. 1, 1--7 (2004; Zbl 1095.11051)
Ritzenthaler, Christophe Automorphism group of \(C:y^3+x^4+1=0\) in characteristic \(p\). (English) Zbl 1078.14038 JP J. Algebra Number Theory Appl. 4, No. 3, 621-623 (2004). Reviewer: Robert F. Lax (Baton Rouge) MSC: 14H37 14H50 11G20 14H30 PDFBibTeX XMLCite \textit{C. Ritzenthaler}, JP J. Algebra Number Theory Appl. 4, No. 3, 621--623 (2004; Zbl 1078.14038)
Scheidler, R. Algorithmic aspects of cubic function fields. (English) Zbl 1125.11363 Buell, Duncan (ed.), Algorithmic number theory. 6th international symposium, ANTS-VI, Burlington, VT, USA, June 13–18, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22156-5/pbk). Lecture Notes in Computer Science 3076, 395-410 (2004). MSC: 11Y40 11R58 11R16 11R27 PDFBibTeX XMLCite \textit{R. Scheidler}, Lect. Notes Comput. Sci. 3076, 395--410 (2004; Zbl 1125.11363) Full Text: DOI
Brunotte, Horst On cubic CNS polynomials with three real roots. (English) Zbl 1064.11005 Acta Sci. Math. 70, No. 3-4, 495-504 (2004). Reviewer: Joachim Piehler (Merseburg) MSC: 11C08 11R04 11R16 11A63 12D99 PDFBibTeX XMLCite \textit{H. Brunotte}, Acta Sci. Math. 70, No. 3--4, 495--504 (2004; Zbl 1064.11005)
Spearman, Blair K.; Williams, Kenneth S. On the Lagrange resolvents of a dihedral quintic polynomial. (English) Zbl 1126.11059 Int. J. Math. Math. Sci. 2004, No. 69-72, 3817-3820 (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 11R16 11R21 PDFBibTeX XMLCite \textit{B. K. Spearman} and \textit{K. S. Williams}, Int. J. Math. Math. Sci. 2004, No. 69--72, 3817--3820 (2004; Zbl 1126.11059) Full Text: DOI EuDML
Szabó, Sándor The Diophantine equation \(x^4-y^4=z^2\) in three quadratic fields. (English) Zbl 1059.11029 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 20, 1-10 (2004). MSC: 11D25 11R11 PDFBibTeX XMLCite \textit{S. Szabó}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 20, 1--10 (2004; Zbl 1059.11029) Full Text: EuDML EMIS
Cheon, Seung Ju; Lee, Jun Ho Evaluation of zeta function of some non-normal totally real cubic fields. (English) Zbl 1125.11064 Kim, H. K. (ed.) et al., Proceedings of the Japan-Korea joint seminar on number theory, October 9–12, 2004, Kuju, Japan. Fukuoka: Kyushu University. 34-44 (2004). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R42 11R16 11R80 11Y40 PDFBibTeX XMLCite \textit{S. J. Cheon} and \textit{J. H. Lee}, in: Proceedings of the Japan-Korea joint seminar on number theory, October 9--12, 2004, Kuju, Japan. Fukuoka: Kyushu University. 34--44 (2004; Zbl 1125.11064)
Heath-Brown, Roger Rational points and analytic number theory. (English) Zbl 1197.11069 Poonen, Bjorn (ed.) et al., Arithmetic of higher-dimensional algebraic varieties. Proceedings of the workshop on rational and integral points of higher-dimensional varieties, Palo Alto, CA, USA, December 11–20, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3259-X/hbk). Progress in Mathematics 226, 37-42 (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 11G35 11P55 11D25 11D45 14G05 PDFBibTeX XMLCite \textit{R. Heath-Brown}, Prog. Math. 226, 37--42 (2004; Zbl 1197.11069)
Hernández, Santos; Luca, Florian Divisibility of exponents of class groups of pure cubic number fields. (English) Zbl 1090.11070 van der Poorten, Alf (ed.) et al., High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24–30, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3353-7/hbk). Fields Institute Communications 41, 237-244 (2004). Reviewer: Günter Lettl (Graz) MSC: 11R29 11R16 11D25 PDFBibTeX XMLCite \textit{S. Hernández} and \textit{F. Luca}, Fields Inst. Commun. 41, 237--244 (2004; Zbl 1090.11070)
Katayama, Shin-ichi; Levesque, Claude; Nakahara, Toru On a family of real bicyclic biquadratic fields. (English) Zbl 1088.11082 Kisilevsky, Hershy (ed.) et al., Number theory. Papers from the 7th conference of the Canadian Number Theory Association, University of Montreal, Montreal, QC, Canada, May 19–25, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3331-6/pbk). CRM Proceedings & Lecture Notes 36, 177-187 (2004). Reviewer: Franz Halter-Koch (Graz) MSC: 11R27 11R29 11R16 11B37 PDFBibTeX XMLCite \textit{S.-i. Katayama} et al., CRM Proc. Lect. Notes 36, 177--187 (2004; Zbl 1088.11082)
Duke, William Number fields with large class group. (English) Zbl 1104.11050 Kisilevsky, Hershy (ed.) et al., Number theory. Papers from the 7th conference of the Canadian Number Theory Association, University of Montreal, Montreal, QC, Canada, May 19–25, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3331-6/pbk). CRM Proceedings & Lecture Notes 36, 117-126 (2004). Reviewer: Jean-François Jaulent (Talence) MSC: 11R29 11R80 11R16 11R47 PDFBibTeX XMLCite \textit{W. Duke}, CRM Proc. Lect. Notes 36, 117--126 (2004; Zbl 1104.11050)
Lee, Jung-Jo A remark on the ranks of twist of elliptic curves. (English) Zbl 1065.11038 C. R. Math. Acad. Sci., Soc. R. Can. 26, No. 3, 73-78 (2004). Reviewer: Robert F. Lax (Baton Rouge) MSC: 11G05 11N37 14H52 PDFBibTeX XMLCite \textit{J.-J. Lee}, C. R. Math. Acad. Sci., Soc. R. Can. 26, No. 3, 73--78 (2004; Zbl 1065.11038)
Dummit, D. S. Computations related to Stark’s conjecture. (English) Zbl 1159.11322 Burns, David (ed.) et al., Stark’s conjectures: recent work and new directions. Papers from the international conference on Stark’s conjectures and related topics, Johns Hopkins University, Baltimore, MD, USA, August 5–9, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3480-0/pbk). Contemporary Mathematics 358, 37-54 (2004). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11Y40 11R37 11R16 PDFBibTeX XMLCite \textit{D. S. Dummit}, Contemp. Math. 358, 37--54 (2004; Zbl 1159.11322)
Bhargava, Manjul Higher composition laws. III: The parametrization of quartic rings. (English) Zbl 1169.11045 Ann. Math. (2) 159, No. 3, 1329-1360 (2004). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R11 11R29 11R16 11E12 11E20 PDFBibTeX XMLCite \textit{M. Bhargava}, Ann. Math. (2) 159, No. 3, 1329--1360 (2004; Zbl 1169.11045) Full Text: DOI
Zhang, Tonghua; Han, Maoan; Zang, Hong; Meng, Xinzhu Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations. (English) Zbl 1060.37041 Chaos Solitons Fractals 22, No. 5, 1127-1138 (2004). MSC: 37G15 34C07 37C05 37G20 PDFBibTeX XMLCite \textit{T. Zhang} et al., Chaos Solitons Fractals 22, No. 5, 1127--1138 (2004; Zbl 1060.37041) Full Text: DOI
Spearman, Blair K.; Williams, Kenneth S. Density of integers which are discriminants of cyclic fields of odd prime degree. (English) Zbl 1056.11068 Arch. Math. 83, No. 6, 507-513 (2004). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11N25 11R16 11R20 PDFBibTeX XMLCite \textit{B. K. Spearman} and \textit{K. S. Williams}, Arch. Math. 83, No. 6, 507--513 (2004; Zbl 1056.11068) Full Text: DOI
Alaca, Şaban; Williams, Kenneth S. On Voronoi’s method for finding an integral basis of a cubic field. (English) Zbl 1061.11056 Util. Math. 65, 163-166 (2004). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11R16 11R29 11R04 PDFBibTeX XMLCite \textit{Ş. Alaca} and \textit{K. S. Williams}, Util. Math. 65, 163--166 (2004; Zbl 1061.11056)
Louboutin, Stéphane R. The simplest quartic fields with ideal class groups of exponents less than or equal to 2. (English) Zbl 1142.11365 J. Math. Soc. Japan 56, No. 3, 717-727 (2004). MSC: 11R16 11R29 11R42 11Y40 PDFBibTeX XMLCite \textit{S. R. Louboutin}, J. Math. Soc. Japan 56, No. 3, 717--727 (2004; Zbl 1142.11365) Full Text: DOI
Zhang, Digen An elementary proof that the length of \(X_1^4+X_2^4+X_3^4+X_4^4\) is 4. (English) Zbl 1073.11023 J. Pure Appl. Algebra 193, No. 1-3, 307-311 (2004). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E10 11E76 PDFBibTeX XMLCite \textit{D. Zhang}, J. Pure Appl. Algebra 193, No. 1--3, 307--311 (2004; Zbl 1073.11023) Full Text: DOI
Mazur, Marcin; Ullom, Stephen V. Galois module structure of units in real biquadratic number fields. (English) Zbl 1060.11070 Acta Arith. 111, No. 2, 105-124 (2004). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{M. Mazur} and \textit{S. V. Ullom}, Acta Arith. 111, No. 2, 105--124 (2004; Zbl 1060.11070) Full Text: DOI Link
Campbell, Garikai Points on \(y=x^2\) at rational distance. (English) Zbl 1051.14022 Math. Comput. 73, No. 248, 2093-2108 (2004). Reviewer: Noriko Yui (Kingston) MSC: 14G05 11G05 11D25 PDFBibTeX XMLCite \textit{G. Campbell}, Math. Comput. 73, No. 248, 2093--2108 (2004; Zbl 1051.14022) Full Text: DOI
Williams, Kenneth S. On real cubic fields with a unique fundamental unit. (English) Zbl 1047.11104 Far East J. Math. Sci. (FJMS) 12, No. 1, 1-7 (2004). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11R27 12D10 PDFBibTeX XMLCite \textit{K. S. Williams}, Far East J. Math. Sci. (FJMS) 12, No. 1, 1--7 (2004; Zbl 1047.11104)
Vulakh, L. Ya. Units in some families of algebraic number fields. (English) Zbl 1055.11065 Trans. Am. Math. Soc. 356, No. 6, 2325-2348 (2004). Reviewer: Thomas Schmidt (Corvallis) MSC: 11R27 11J70 11R16 11R80 PDFBibTeX XMLCite \textit{L. Ya. Vulakh}, Trans. Am. Math. Soc. 356, No. 6, 2325--2348 (2004; Zbl 1055.11065) Full Text: DOI
Bremner, Andrew; Tzanakis, Nikos Lucas sequences whose 8th term is a square. arXiv:math/0408371 Preprint, arXiv:math/0408371 [math.NT] (2004). MSC: 11B39 11G05 11D25 BibTeX Cite \textit{A. Bremner} and \textit{N. Tzanakis}, ``Lucas sequences whose 8th term is a square'', Preprint, arXiv:math/0408371 [math.NT] (2004) Full Text: arXiv