Hwang, Wontae; Jeon, Daeyeol Modular curves with infinitely many quartic points. (English) Zbl 07753433 Math. Comput. 93, No. 345, 383-395 (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 11G30 PDFBibTeX XMLCite \textit{W. Hwang} and \textit{D. Jeon}, Math. Comput. 93, No. 345, 383--395 (2024; Zbl 07753433) Full Text: DOI
Dina, Bogdan; Ionica, Sorina; Sijsling, Jeroen Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication. (English) Zbl 1507.14044 Math. Comput. 92, No. 339, 349-383 (2023). Reviewer: Tony Ezome (Libreville) MSC: 14H40 14H25 14H45 14H50 14K20 14K22 PDFBibTeX XMLCite \textit{B. Dina} et al., Math. Comput. 92, No. 339, 349--383 (2023; Zbl 1507.14044) Full Text: DOI arXiv
González-Jiménez, Enrique; Lozano-Robledo, Álvaro On the torsion of rational elliptic curves over quartic fields. (English) Zbl 1397.11092 Math. Comput. 87, No. 311, 1457-1478 (2018). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 14H52 14G05 11R16 PDFBibTeX XMLCite \textit{E. González-Jiménez} and \textit{Á. Lozano-Robledo}, Math. Comput. 87, No. 311, 1457--1478 (2018; Zbl 1397.11092) Full Text: DOI arXiv
Lezowski, Pierre; McGown, Kevin J. The Euclidean algorithm in quintic and septic cyclic fields. (English) Zbl 1428.11005 Math. Comput. 86, No. 307, 2535-2549 (2017). MSC: 11A05 11R04 11Y40 11R16 11R80 11L40 11R32 PDFBibTeX XMLCite \textit{P. Lezowski} and \textit{K. J. McGown}, Math. Comput. 86, No. 307, 2535--2549 (2017; Zbl 1428.11005) Full Text: DOI arXiv
Cohen, Henri Exact counting of \(D_{\ell}\) number fields with given quadratic resolvent. (English) Zbl 1318.11137 Math. Comput. 84, No. 294, 1933-1951 (2015). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R20 11R29 PDFBibTeX XMLCite \textit{H. Cohen}, Math. Comput. 84, No. 294, 1933--1951 (2015; Zbl 1318.11137) Full Text: DOI
Ulas, Maciej On some Diophantine systems involving symmetric polynomials. (English) Zbl 1290.11064 Math. Comput. 83, No. 288, 1915-1930 (2014). MSC: 11D25 11D72 11G05 PDFBibTeX XMLCite \textit{M. Ulas}, Math. Comput. 83, No. 288, 1915--1930 (2014; Zbl 1290.11064) Full Text: DOI arXiv
Morra, Anna An algorithm to compute relative cubic fields. (English) Zbl 1360.11147 Math. Comput. 82, No. 284, 2343-2361 (2013). MSC: 11Y40 11R16 PDFBibTeX XMLCite \textit{A. Morra}, Math. Comput. 82, No. 284, 2343--2361 (2013; Zbl 1360.11147) Full Text: DOI arXiv
Zhang, Yong; Cai, Tianxin \(N\)-tuples of positive integers with the same sum and the same product. (English) Zbl 1275.11058 Math. Comput. 82, No. 281, 617-623 (2013). MSC: 11D25 11D72 11G05 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{T. Cai}, Math. Comput. 82, No. 281, 617--623 (2013; Zbl 1275.11058) Full Text: DOI
Rozenhart, Pieter; Jacobson, Michael jun.; Scheidler, Renate Tabulation of cubic function fields via polynomial binary cubic forms. (English) Zbl 1290.11154 Math. Comput. 81, No. 280, 2335-2359 (2012). Reviewer: Andreas Stein (Oldenburg) MSC: 11R58 11Y40 11R16 PDFBibTeX XMLCite \textit{P. Rozenhart} et al., Math. Comput. 81, No. 280, 2335--2359 (2012; Zbl 1290.11154) Full Text: DOI arXiv
Elsenhans, Andreas-Stephan Rational points on diagonal quartic surfaces. (English) Zbl 1234.14019 Math. Comput. 81, No. 277, 481-492 (2012). Reviewer: Štefan Porubský (Praha) MSC: 14G05 11Y50 14J28 11D25 11G35 14J25 PDFBibTeX XMLCite \textit{A.-S. Elsenhans}, Math. Comput. 81, No. 277, 481--492 (2012; Zbl 1234.14019) Full Text: DOI arXiv
Jeon, Daeyeol; Kim, Chang Heon; Lee, Yoonjin Families of elliptic curves over quartic number fields with prescribed torsion subgroups. (English) Zbl 1267.11072 Math. Comput. 80, No. 276, 2395-2410 (2011). MSC: 11G05 11G18 PDFBibTeX XMLCite \textit{D. Jeon} et al., Math. Comput. 80, No. 276, 2395--2410 (2011; Zbl 1267.11072) Full Text: DOI
Louboutin, Stéphane R. Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields. (English) Zbl 1282.11150 Math. Comput. 80, No. 275, 1813-1822 (2011). Reviewer: Lejla Smajlovic (Sarajevo) MSC: 11R42 11R16 11R29 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Math. Comput. 80, No. 275, 1813--1822 (2011; Zbl 1282.11150) Full Text: DOI
Hajdu, L.; Kovács, T. Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations. (English) Zbl 1215.11057 Math. Comput. 78, No. 266, 1201-1210 (2009). Reviewer: Alain S. Togbe (Westville) MSC: 11G05 11Y50 11D25 PDFBibTeX XMLCite \textit{L. Hajdu} and \textit{T. Kovács}, Math. Comput. 78, No. 266, 1201--1210 (2009; Zbl 1215.11057) Full Text: DOI
Kim, Hyun Kwang Errata to “Evaluation of zeta function of the simplest cubic field at negative odd integers”. (English) Zbl 1214.11126 Math. Comput. 78, No. 265, 617-618 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11R16 11Y40 PDFBibTeX XMLCite \textit{H. K. Kim}, Math. Comput. 78, No. 265, 617--618 (2009; Zbl 1214.11126) Full Text: DOI
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
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
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
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
Jacobson, M. J. jun.; Pintér, Á.; Walsh, P. G. A computational approach for solving \(y^2=1^k+2^k+\dotsb+x^k\). (English) Zbl 1113.11075 Math. Comput. 72, No. 244, 2099-2110 (2003). Reviewer: Alain S. Togbe (Westville) MSC: 11Y50 11D25 11J86 11D61 11Y40 PDFBibTeX XMLCite \textit{M. J. Jacobson jun.} et al., Math. Comput. 72, No. 244, 2099--2110 (2003; Zbl 1113.11075) Full Text: DOI
Kim, Hyun Kwang; Kim, Jung Soo Evaluation of zeta function of the simplest cubic field at negative odd integers. (English) Zbl 1034.11069 Math. Comput. 71, No. 239, 1243-1162 (2002); errata ibid. 78, No. 265 (2009). Reviewer: Michael Pohst (Berlin) MSC: 11Y40 11R42 11R16 PDFBibTeX XMLCite \textit{H. K. Kim} and \textit{J. S. Kim}, Math. Comput. 71, No. 239, 1243--1162 (2002; Zbl 1034.11069) Full Text: DOI
Scheidler, R.; Stein, A. Voronoi’s algorithm in purely cubic congruence function fields of unit rank 1. (English) Zbl 1042.11068 Math. Comput. 69, No. 231, 1245-1266 (2000). MSC: 11R16 11R27 11R58 11-04 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Math. Comput. 69, No. 231, 1245--1266 (2000; Zbl 1042.11068) Full Text: DOI
Grundman, H. G. Explicit resolutions of cubic cusp singularities. (English) Zbl 0999.11023 Math. Comput. 69, No. 230, 815-825 (2000). MSC: 11F41 11Y40 14E15 14G35 11R16 11R42 PDFBibTeX XMLCite \textit{H. G. Grundman}, Math. Comput. 69, No. 230, 815--825 (2000; Zbl 0999.11023) Full Text: DOI
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
Niklasch, G.; Smart, N. P. Exceptional units in a family of quartic number fields. (English) Zbl 0920.11074 Math. Comput. 67, No. 222, 759-772 (1998). Reviewer: G.Lettl (Graz) MSC: 11R27 11D61 11J86 11R16 PDFBibTeX XMLCite \textit{G. Niklasch} and \textit{N. P. Smart}, Math. Comput. 67, No. 222, 759--772 (1998; Zbl 0920.11074) Full Text: DOI
Nagao, Koh-ichi Construction of high-rank elliptic curves with a nontrivial torsion point. (English) Zbl 0854.11029 Math. Comput. 66, No. 217, 411-415 (1997). MSC: 11G05 14H52 11D25 11Y50 14Q05 PDFBibTeX XMLCite \textit{K.-i. Nagao}, Math. Comput. 66, No. 217, 411--415 (1997; Zbl 0854.11029) Full Text: DOI
Dummit, David S.; Sands, Jonathan W.; Tangedal, Brett A. Computing Stark units for totally real cubic fields. (English) Zbl 0904.11033 Math. Comput. 66, No. 219, 1239-1267 (1997). Reviewer: T.Metsänkylä (Turku) MSC: 11R42 11Y40 11R37 11R16 11-04 PDFBibTeX XMLCite \textit{D. S. Dummit} et al., Math. Comput. 66, No. 219, 1239--1267 (1997; Zbl 0904.11033) Full Text: DOI
Belabas, K. A fast algorithm to compute cubic fields. (English) Zbl 0882.11070 Math. Comput. 66, No. 219, 1213-1237 (1997). Reviewer: M.Pohst (Berlin) MSC: 11Y40 11R16 PDFBibTeX XMLCite \textit{K. Belabas}, Math. Comput. 66, No. 219, 1213--1237 (1997; Zbl 0882.11070) Full Text: DOI
Jakubec, Stanislav; Marko, František; Szymiczek, Kazimierz Parity of class numbers and Witt equivalence of quartic fields. (English) Zbl 0854.11023 Math. Comput. 64, No. 212, 1711-1715 (1995); Corrigendum ibid. 66, No. 218, 927 (1997). Reviewer: A.G.Earnest (Carbondale) MSC: 11E81 11R29 11R16 11E41 PDFBibTeX XMLCite \textit{S. Jakubec} et al., Math. Comput. 64, No. 212, 1711--1715 (1995; Zbl 0854.11023) Full Text: DOI
Rose, H. E. On a class of elliptic curves with rank at most two. (English) Zbl 0833.11022 Math. Comput. 64, No. 211, 1251-1265, S27-S34 (1995). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G05 14H52 11D25 11-04 14Q05 PDFBibTeX XMLCite \textit{H. E. Rose}, Math. Comput. 64, No. 211, 1251--1265, S27--S34 (1995; Zbl 0833.11022) Full Text: DOI
Diaz y Diaz, Francisco; Olivier, M. Imprimitive ninth-degree number fields with small discriminants. (English) Zbl 0819.11070 Math. Comput. 64, No. 209, 305-321, microfiche suppl. (1995). Reviewer: M.Pohst (Berlin) MSC: 11Y40 11R21 11-04 11R16 PDFBibTeX XMLCite \textit{F. Diaz y Diaz} and \textit{M. Olivier}, Math. Comput. 64, No. 209, 305--321, microfiche suppl. (1995; Zbl 0819.11070) Full Text: DOI
Cohen, Henri; Martinet, Jacques Heuristics on class groups: some good primes are not too good. (English) Zbl 0827.11067 Math. Comput. 63, No. 207, 329-334 (1994). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11R29 11R16 11Y40 PDFBibTeX XMLCite \textit{H. Cohen} and \textit{J. Martinet}, Math. Comput. 63, No. 207, 329--334 (1994; Zbl 0827.11067) Full Text: DOI
Godwin, H. J.; Smith, J. R. On the Euclidean nature of four cyclic cubic fields. (English) Zbl 0795.11055 Math. Comput. 60, No. 201, 421-423 (1993). MSC: 11R16 11Y40 11R20 PDFBibTeX XMLCite \textit{H. J. Godwin} and \textit{J. R. Smith}, Math. Comput. 60, No. 201, 421--423 (1993; Zbl 0795.11055) Full Text: DOI
Buchmann, Johannes; Ford, David; Pohst, Michael Enumeration of quartic fields of small discriminant. (English) Zbl 0788.11060 Math. Comput. 61, No. 204, 873-879 (1993). MSC: 11Y40 11-04 11R16 PDFBibTeX XMLCite \textit{J. Buchmann} et al., Math. Comput. 61, No. 204, 873--879 (1993; Zbl 0788.11060) Full Text: DOI
Bremner, Andrew; Guy, Richard K.; Nowakowski, Richard J. Which integers are representable as the product of the sum of three integers with the sum of their reciprocals? (English) Zbl 0808.11022 Math. Comput. 61, No. 203, 117-130 (1993). Reviewer: Jakob Top (Groningen) MSC: 11D25 11G05 11Y50 PDFBibTeX XMLCite \textit{A. Bremner} et al., Math. Comput. 61, No. 203, 117--130 (1993; Zbl 0808.11022) Full Text: DOI
Bremner, Andrew; Buell, Duncan A. Three points of great height on elliptic curves. (English) Zbl 0785.11035 Math. Comput. 61, No. 203, 111-115 (1993). Reviewer: E. Nart (Barcelona) MSC: 11G05 14H52 11-04 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{D. A. Buell}, Math. Comput. 61, No. 203, 111--115 (1993; Zbl 0785.11035) Full Text: DOI
Fujita, Hiroyuki The minimum discriminant of totally real algebraic number fields of degree 9 with cubic subfields. (English) Zbl 0773.11079 Math. Comput. 60, No. 202, 801-810 (1993). Reviewer: M.Pohst (Berlin) MSC: 11Y40 11R29 11R80 11R16 PDFBibTeX XMLCite \textit{H. Fujita}, Math. Comput. 60, No. 202, 801--810 (1993; Zbl 0773.11079) Full Text: DOI
Pohst, M.; Graf von Schmettow, J. On the computation of unit groups and class groups of totally complex quartic fields. (English) Zbl 0778.11077 Math. Comput. 60, No. 202, 793-800 (1993). Reviewer: H.Cohn (New York) MSC: 11Y40 11-04 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{M. Pohst} and \textit{J. Graf von Schmettow}, Math. Comput. 60, No. 202, 793--800 (1993; Zbl 0778.11077) Full Text: DOI
Louboutin, Stéphane \(L\)-functions and class numbers of imaginary quadratic fields and of quadratic extensions of an imaginary quadratic field. (English) Zbl 0752.11046 Math. Comput. 59, No. 199, 213-230 (1992). Reviewer: B.Z.Moroz (Bonn) MSC: 11R29 11R16 11R42 11R11 11-04 11Y40 PDFBibTeX XMLCite \textit{S. Louboutin}, Math. Comput. 59, No. 199, 213--230 (1992; Zbl 0752.11046) Full Text: DOI
Bremner, Andrew; Guy, Richard K. Nu-configurations in tiling the square. (English) Zbl 0761.11013 Math. Comput. 59, No. 199, 195-202, S1-S20 (1992). MSC: 11D25 11G05 11Y50 05B45 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{R. K. Guy}, Math. Comput. 59, No. 199, 195--202, S1--S20 (1992; Zbl 0761.11013) Full Text: DOI
Mayer, Daniel C. Multiplicities of dihedral discriminants. (English) Zbl 0737.11028 Math. Comput. 58, No. 198, 831-848 (1992). Reviewer: Daniel C. Mayer (Winnipeg) MSC: 11R20 11R11 11R16 11R29 11Y40 PDFBibTeX XMLCite \textit{D. C. Mayer}, Math. Comput. 58, No. 198, 831--848 (1992; Zbl 0737.11028) Full Text: DOI
Jakubec, Stanislav; Marko, František Witt equivalence classes of quartic number fields. (English) Zbl 0742.11022 Math. Comput. 58, No. 197, 355-368 (1992). Reviewer: K.Szymiczek (Tychy) MSC: 11E81 11E08 11R16 11E12 PDFBibTeX XMLCite \textit{S. Jakubec} and \textit{F. Marko}, Math. Comput. 58, No. 197, 355--368 (1992; Zbl 0742.11022) Full Text: DOI
Smyth, C. J. Ideal 9th-order multigrades and Letac’s elliptic curve. (English) Zbl 0744.11015 Math. Comput. 57, No. 196, 817-823 (1991). Reviewer: J.Top (Rotterdam) MSC: 11B75 11D25 11G05 14G05 14H52 11D72 PDFBibTeX XMLCite \textit{C. J. Smyth}, Math. Comput. 57, No. 196, 817--823 (1991; Zbl 0744.11015) Full Text: DOI
Washington, Lawrence C. A family of cyclic quartic fields arising from modular curves. (English) Zbl 0743.11058 Math. Comput. 57, No. 196, 763-775 (1991). Reviewer: R.Schoof (Povo) MSC: 11R16 11F11 11G16 11R27 PDFBibTeX XMLCite \textit{L. C. Washington}, Math. Comput. 57, No. 196, 763--775 (1991; Zbl 0743.11058) Full Text: DOI
Bergé, A.-M.; Martinet, J.; Olivier, M. The computation of sextic fields with a quadratic subfield. (English) Zbl 0709.11056 Math. Comput. 54, No. 190, 869-884 (1990). Reviewer: M.Pohst MSC: 11R16 11Y40 11-04 11R29 11Y16 PDFBibTeX XMLCite \textit{A. M. Bergé} et al., Math. Comput. 54, No. 190, 869--884 (1990; Zbl 0709.11056) Full Text: DOI
Fung, Gilbert W.; Williams, H. C. On the computation of a table of complex cubic fields with discriminant \(D>-10^ 6\). (English) Zbl 0705.11063 Math. Comput. 55, No. 191, 313-325 (1990). Reviewer: T.Lepistö MSC: 11R16 11Y40 11R29 PDFBibTeX XMLCite \textit{G. W. Fung} and \textit{H. C. Williams}, Math. Comput. 55, No. 191, 313--325 (1990; Zbl 0705.11063) Full Text: DOI
Buchmann, J.; Pohst, M.; Schmettow, J.v. On the computation of unit groups and class groups of totally real quartic fields. (English) Zbl 0714.11002 Math. Comput. 53, No. 187, 387-397 (1989). Reviewer: M.D.Hendy MSC: 11-04 11R16 11Y40 11R27 11R29 11R80 PDFBibTeX XMLCite \textit{J. Buchmann} et al., Math. Comput. 53, No. 187, 387--397 (1989; Zbl 0714.11002) Full Text: DOI
Buchmann, Johannes; Ford, David On the computation of totally real quartic fields of small discriminant. (English) Zbl 0668.12001 Math. Comput. 52, No. 185, 161-174 (1989). Reviewer: Tauno Metsänkylä (Turku) MSC: 11Y40 11R16 11R80 PDFBibTeX XMLCite \textit{J. Buchmann} and \textit{D. Ford}, Math. Comput. 52, No. 185, 161--174 (1989; Zbl 0668.12001) Full Text: DOI
Elkies, Noam D. On \(A^ 4+B^ 4+C^ 4=D^ 4\). (English) Zbl 0698.10010 Math. Comput. 51, No. 184, 825-835 (1988). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{N. D. Elkies}, Math. Comput. 51, No. 184, 825--835 (1988; Zbl 0698.10010) Full Text: DOI
Silverman, Joseph H. Computig heights on elliptic curves. (English) Zbl 0656.14016 Math. Comput. 51, No. 183, 339-358 (1988). Reviewer: H.G.Zimmer MSC: 14H25 14G05 14-04 11D25 14H52 PDFBibTeX XMLCite \textit{J. H. Silverman}, Math. Comput. 51, No. 183, 339--358 (1988; Zbl 0656.14016) Full Text: DOI
Dueck, G.; Williams, H. C. Corrigendum to: “Computation of the class number and class group of a complex cubic field”. (English) Zbl 0652.12003 Math. Comput. 50, No. 182, 223-231 (1988). Reviewer: K.Lakkis MSC: 11R16 11R23 12-04 68Q25 12D99 PDFBibTeX XMLCite \textit{G. Dueck} and \textit{H. C. Williams}, Math. Comput. 50, No. 182, 223--231 (1988; Zbl 0652.12003)
Llorente, Pascual; Quer, Jordi On totally real cubic fields with discriminant \(D<10^ 7\). (English) Zbl 0651.12001 Math. Comput. 50, No. 182, 581-594 (1988). Reviewer: K.Peeva MSC: 12-04 11R16 11R80 PDFBibTeX XMLCite \textit{P. Llorente} and \textit{J. Quer}, Math. Comput. 50, No. 182, 581--594 (1988; Zbl 0651.12001) Full Text: DOI
Zagier, Don Addendum to “Large integral points on elliptic curves”. (English) Zbl 0649.10013 Math. Comput. 51, No. 183, 183 (1988). MSC: 11D25 14H52 14G25 PDFBibTeX XMLCite \textit{D. Zagier}, Math. Comput. 51, No. 183, 183 (1988; Zbl 0649.10013) Full Text: DOI
Hardy, Kenneth; Hudson, R. H.; Richman, D.; Williams, Kenneth S.; Holtz, N. M. Calculation of the class numbers of imaginary cyclic quartic fields. (English) Zbl 0624.12004 Math. Comput. 49, 615-620 (1987). MSC: 11R21 11R23 12-04 PDFBibTeX XMLCite \textit{K. Hardy} et al., Math. Comput. 49, 615--620 (1987; Zbl 0624.12004) Full Text: DOI
Washington, Lawrence C. Class numbers of the simplest cubic fields. (English) Zbl 0613.12002 Math. Comput. 48, 371-384 (1987). Reviewer: H.J.Godwin MSC: 11R29 11R16 11G05 11R20 PDFBibTeX XMLCite \textit{L. C. Washington}, Math. Comput. 48, 371--384 (1987; Zbl 0613.12002) Full Text: DOI
Cusick, T. W.; Schoenfeld, Lowell A table of fundamental pairs of units in totally real cubic fields. (English) Zbl 0611.12002 Math. Comput. 48, 147-158 (1987). Reviewer: Harvey Cohn MSC: 11R16 11R27 11R23 PDFBibTeX XMLCite \textit{T. W. Cusick} and \textit{L. Schoenfeld}, Math. Comput. 48, 147--158 (1987; Zbl 0611.12002) Full Text: DOI
Zagier, Don Large integral points on elliptic curves. (English) Zbl 0611.10008 Math. Comput. 48, 425-436 (1987). Reviewer: Joseph H. Silverman (Providence) MSC: 11D25 14H52 14G25 PDFBibTeX XMLCite \textit{D. Zagier}, Math. Comput. 48, 425--436 (1987; Zbl 0611.10008) Full Text: DOI
Tennenhouse, M.; Williams, H. C. A note on class-number one in certain real quadratic and pure cubic fields. (English) Zbl 0589.12003 Math. Comput. 46, 333-336 (1986). Reviewer: V.Ennola MSC: 12-04 11R11 11R16 11R23 PDFBibTeX XMLCite \textit{M. Tennenhouse} and \textit{H. C. Williams}, Math. Comput. 46, 333--336 (1986; Zbl 0589.12003) Full Text: DOI
Cohn, Harvey; Deutsch, Jesse Use of a computer scan to prove \({\mathbb{Q}}(\sqrt{2+\sqrt{2}})\) and \({\mathbb{Q}}(\sqrt{3+\sqrt{2}})\) are Euclidean. (English) Zbl 0585.12002 Math. Comput. 46, 295-299 (1986). Reviewer: H.J.Godwin MSC: 11R16 12-04 PDFBibTeX XMLCite \textit{H. Cohn} and \textit{J. Deutsch}, Math. Comput. 46, 295--299 (1986; Zbl 0585.12002) Full Text: DOI
Ennola, Veikko; Turunen, Reino On cyclic cubic fields. (English) Zbl 0582.12002 Math. Comput. 45, 585-589 (1985). Reviewer: M.-N.Gras MSC: 11R16 11R27 11R23 PDFBibTeX XMLCite \textit{V. Ennola} and \textit{R. Turunen}, Math. Comput. 45, 585--589 (1985; Zbl 0582.12002) Full Text: DOI Backlinks: MO
Vaughan, Theresa P. The construction of unramified cyclic quartic extensions of \({\mathbb{Q}}(\sqrt{m})\). (English) Zbl 0576.12008 Math. Comput. 45, 233-242 (1985). Reviewer: Harvey Cohn MSC: 11R23 11R37 11R21 11R11 PDFBibTeX XMLCite \textit{T. P. Vaughan}, Math. Comput. 45, 233--242 (1985; Zbl 0576.12008) Full Text: DOI
Ennola, Veikko; Turunen, Reino On totally real cubic fields. (English) Zbl 0564.12006 Math. Comput. 44, 495-518 (1985). Reviewer: H.J.Godwin MSC: 11R16 11R23 PDFBibTeX XMLCite \textit{V. Ennola} and \textit{R. Turunen}, Math. Comput. 44, 495--518 (1985; Zbl 0564.12006) Full Text: DOI
Godwin, H. J. Corrigenda to “On quartic fields of signature one with small discriminant. II”. (English) Zbl 0552.12002 Math. Comput. 43, 621 (1984). Reviewer: H.Cohen MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{H. J. Godwin}, Math. Comput. 43, 621 (1984; Zbl 0552.12002) Full Text: DOI
Adams, William W. Splitting of quartic polynomials. (English) Zbl 0551.12017 Math. Comput. 43, 329-343 (1984). Reviewer: H.Cohn MSC: 12D05 11B37 12F10 11T06 12-04 PDFBibTeX XMLCite \textit{W. W. Adams}, Math. Comput. 43, 329--343 (1984; Zbl 0551.12017) Full Text: DOI
Williams, H. C.; Dueck, G. W. An analogue of the nearest integer continued fraction for certain cubic irrationalities. (English) Zbl 0544.10032 Math. Comput. 42, 683-705 (1984). Reviewer: G.Ramharter MSC: 11J70 11R16 11H06 PDFBibTeX XMLCite \textit{H. C. Williams} and \textit{G. W. Dueck}, Math. Comput. 42, 683--705 (1984; Zbl 0544.10032) Full Text: DOI
Godwin, H. J. On quartic fields of signature one with small discriminant. II. (English) Zbl 0535.12003 Math. Comput. 42, 707-711 (1984). Reviewer: Henri Cohen (Talence) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{H. J. Godwin}, Math. Comput. 42, 707--711 (1984; Zbl 0535.12003) Full Text: DOI
Bremner, A.; Cassels, J. W. S. On the equation \(Y^2=X(X^2+p)\). (English) Zbl 0531.10014 Math. Comput. 42, 247-264 (1984). Reviewer: R.J.Stroeker MSC: 11G05 11D25 11Y50 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{J. W. S. Cassels}, Math. Comput. 42, 247--264 (1984; Zbl 0531.10014) Full Text: DOI
Bremner, Andrew; Tzanakis, Nicholas Integer points on \(y^2=x^3-7x+10\). (English) Zbl 0554.10007 Math. Comput. 41, 731-741 (1983). Reviewer: R. P. Steiner MSC: 11D25 11G05 11D59 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{N. Tzanakis}, Math. Comput. 41, 731--741 (1983; Zbl 0554.10007) Full Text: DOI
Llorente, P.; Oneto, A. V. On the real cubic fields. (English) Zbl 0511.12005 Math. Comput. 39, 689-692 (1982). MSC: 11R16 11R80 11R23 12-04 11R09 PDFBibTeX XMLCite \textit{P. Llorente} and \textit{A. V. Oneto}, Math. Comput. 39, 689--692 (1982; Zbl 0511.12005) Full Text: DOI
Hendy, M. D.; Jeans, N. S. The Jacobi-Perron algorithm in integer form. (English) Zbl 0471.10025 Math. Comput. 36, 565-574 (1981). MSC: 11J70 11R16 11R27 11A55 PDFBibTeX XMLCite \textit{M. D. Hendy} and \textit{N. S. Jeans}, Math. Comput. 36, 565--574 (1981; Zbl 0471.10025) Full Text: DOI
Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J. Elliptic curves of conductor 11. (English) Zbl 0475.14031 Math. Comput. 35, 991-1002 (1980). Reviewer: D. Shannon MSC: 11G05 11D25 14H45 PDFBibTeX XMLCite \textit{M. K. Agrawal} et al., Math. Comput. 35, 991--1002 (1980; Zbl 0475.14031) Full Text: DOI
Williams, H. C.; Shanks, Daniel A note on class-number one in pure cubic fields. (English) Zbl 0439.12005 Math. Comput. 33, 1317-1320 (1979). MSC: 11R23 11R16 PDFBibTeX XMLCite \textit{H. C. Williams} and \textit{D. Shanks}, Math. Comput. 33, 1317--1320 (1979; Zbl 0439.12005) Full Text: DOI
Parry, Charles J. On the class number of relative quadratic fields. (English) Zbl 0401.12008 Math. Comput. 32, 1261-1270 (1978). MSC: 11R23 12-04 11R80 11R16 PDFBibTeX XMLCite \textit{C. J. Parry}, Math. Comput. 32, 1261--1270 (1978; Zbl 0401.12008) Full Text: DOI
Shanks, Daniel Errata to: Über die Lösung einiger unbestimmten Gleichungen vierten Grades. (German) Zbl 0385.12002 Math. Comput. 31, 1049-1050 (1977). MSC: 11R16 12-04 11R27 11R42 PDFBibTeX XMLCite \textit{D. Shanks}, Math. Comput. 31, 1049--1050 (1977; Zbl 0385.12002) Full Text: DOI
Barrucand, Pierre; Williams, H. C.; Baniuk, L. A computational technique for determining the class number of a pure cubic field. (English) Zbl 0324.12005 Math. Comput. 30, 312-323 (1976). MSC: 11R23 11R16 12-04 11R42 PDFBibTeX XMLCite \textit{P. Barrucand} et al., Math. Comput. 30, 312--323 (1976; Zbl 0324.12005) Full Text: DOI
Penney, David E.; Pomerance, Carl Three elliptic curves with rank at least seven. (English) Zbl 0309.14026 Math. Comput. 29, 965-967 (1975). MSC: 14H45 11D25 14G25 PDFBibTeX XMLCite \textit{D. E. Penney} and \textit{C. Pomerance}, Math. Comput. 29, 965--967 (1975; Zbl 0309.14026) Full Text: DOI
Shanks, Daniel Calculation and applications of Epstein zeta functions. (English) Zbl 0302.10035 Math. Comput. 29, 271-287 (1975). MSC: 11M35 11R42 11E16 11R11 11R16 11N05 11N13 PDFBibTeX XMLCite \textit{D. Shanks}, Math. Comput. 29, 271--287 (1975; Zbl 0302.10035) Full Text: DOI
Shanks, Daniel The simplest cubic fields. (English) Zbl 0307.12005 Math. Comput. 28, 1137-1152 (1974). MSC: 11R16 11R18 11R23 11R42 11R80 PDFBibTeX XMLCite \textit{D. Shanks}, Math. Comput. 28, 1137--1152 (1974; Zbl 0307.12005) Full Text: DOI