Bernard, Olivier; Kučera, Radan A short basis of the Stickelberger ideal of a cyclotomic field. (English) Zbl 07782523 Math. Comput. 93, No. 346, 887-909 (2024). MSC: 11R18 11R29 11Y40 PDFBibTeX XMLCite \textit{O. Bernard} and \textit{R. Kučera}, Math. Comput. 93, No. 346, 887--909 (2024; Zbl 07782523) Full Text: DOI arXiv
Sgobba, Pietro Divisibility conditions on the order of the reductions of algebraic numbers. (English) Zbl 07689731 Math. Comput. 92, No. 343, 2281-2305 (2023). MSC: 11R45 11R44 11R20 PDFBibTeX XMLCite \textit{P. Sgobba}, Math. Comput. 92, No. 343, 2281--2305 (2023; Zbl 07689731) Full Text: DOI arXiv
Falk, Richard S.; Winther, Ragnar Construction of polynomial preserving cochain extensions by blending. (English) Zbl 1512.65266 Math. Comput. 92, No. 342, 1575-1594 (2023). MSC: 65N30 65D17 65D18 58A12 58A10 PDFBibTeX XMLCite \textit{R. S. Falk} and \textit{R. Winther}, Math. Comput. 92, No. 342, 1575--1594 (2023; Zbl 1512.65266) Full Text: DOI arXiv
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Norm one tori and Hasse norm principle. (English) Zbl 1515.11028 Math. Comput. 91, No. 337, 2431-2458 (2022). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDFBibTeX XMLCite \textit{A. Hoshi} et al., Math. Comput. 91, No. 337, 2431--2458 (2022; Zbl 1515.11028) Full Text: DOI arXiv
Pagani, Lorenzo Greenberg’s conjecture for real quadratic fields and the cyclotomic \(\mathbb{Z}_2\)-extensions. (English) Zbl 1522.11114 Math. Comput. 91, No. 335, 1437-1467 (2022). MSC: 11R23 11R29 11Y40 PDFBibTeX XMLCite \textit{L. Pagani}, Math. Comput. 91, No. 335, 1437--1467 (2022; Zbl 1522.11114) Full Text: DOI arXiv
Hulpke, Alexander The perfect groups of order up to two million. (English) Zbl 07473353 Math. Comput. 91, No. 334, 1007-1017 (2022). MSC: 20-08 20-04 20-11 20E22 PDFBibTeX XMLCite \textit{A. Hulpke}, Math. Comput. 91, No. 334, 1007--1017 (2022; Zbl 07473353) Full Text: DOI arXiv
Frei, Christopher; Richard, Rodolphe Constructing abelian extensions with prescribed norms. (English) Zbl 1489.11208 Math. Comput. 91, No. 333, 381-399 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11Y40 11R37 14G05 11D57 PDFBibTeX XMLCite \textit{C. Frei} and \textit{R. Richard}, Math. Comput. 91, No. 333, 381--399 (2022; Zbl 1489.11208) Full Text: DOI arXiv
Klüners, Jürgen; Komatsu, Toru Imaginary multiquadratic number fields with class group of exponent \(3\) and \(5\). (English) Zbl 1470.11287 Math. Comput. 90, No. 329, 1483-1497 (2021). Reviewer: Günter Lettl (Graz) MSC: 11R29 11R20 11Y40 PDFBibTeX XMLCite \textit{J. Klüners} and \textit{T. Komatsu}, Math. Comput. 90, No. 329, 1483--1497 (2021; Zbl 1470.11287) Full Text: DOI arXiv
Malnič, Aleksander; Požar, Rok On split liftings with sectional complements. (English) Zbl 1401.05188 Math. Comput. 88, No. 316, 983-1005 (2019). MSC: 05C50 05C85 05C40 05E18 20B40 20B25 20K35 57M10 68W05 PDFBibTeX XMLCite \textit{A. Malnič} and \textit{R. Požar}, Math. Comput. 88, No. 316, 983--1005 (2019; Zbl 1401.05188) Full Text: DOI
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
Daniels, Harris B.; Lozano-Robledo, Álvaro; Najman, Filip; Sutherland, Andrew V. Torsion subgroups of rational elliptic curves over the compositum of all cubic fields. (English) Zbl 1422.11132 Math. Comput. 87, No. 309, 425-458 (2018). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R21 12F10 14H52 PDFBibTeX XMLCite \textit{H. B. Daniels} et al., Math. Comput. 87, No. 309, 425--458 (2018; Zbl 1422.11132) Full Text: DOI arXiv
Hart, William; Harvey, David; Ong, Wilson Irregular primes to two billion. (English) Zbl 1376.11071 Math. Comput. 86, No. 308, 3031-3049 (2017). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11R18 11Y40 PDFBibTeX XMLCite \textit{W. Hart} et al., Math. Comput. 86, No. 308, 3031--3049 (2017; Zbl 1376.11071) 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
Mosunov, A. S.; Jacobson, M. J. jun. Unconditional class group tabulation of imaginary quadratic fields to \(| \Delta| < 2^{40}\). (English) Zbl 1351.11074 Math. Comput. 85, No. 300, 1983-2009 (2016). Reviewer: Claude Levesque (Québec) MSC: 11R29 11R11 11Y40 PDFBibTeX XMLCite \textit{A. S. Mosunov} and \textit{M. J. Jacobson jun.}, Math. Comput. 85, No. 300, 1983--2009 (2016; Zbl 1351.11074) Full Text: DOI arXiv
Miller, John C. Real cyclotomic fields of prime conductor and their class numbers. (English) Zbl 1327.11079 Math. Comput. 84, No. 295, 2459-2469 (2015). Reviewer: Günter Lettl (Graz) MSC: 11R29 11R18 11Y40 PDFBibTeX XMLCite \textit{J. C. Miller}, Math. Comput. 84, No. 295, 2459--2469 (2015; Zbl 1327.11079) Full Text: DOI
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
Ling, San; Ozdemir, Enver; Xing, Chaoping A relation between embedding degrees and class numbers of binary quadratic forms. (English) Zbl 1300.11072 Math. Comput. 83, No. 290, 3001-3004 (2014). MSC: 11G20 11R11 11R29 11G05 PDFBibTeX XMLCite \textit{S. Ling} et al., Math. Comput. 83, No. 290, 3001--3004 (2014; Zbl 1300.11072) Full Text: DOI
Hajdu, Lajos; Ziegler, Volker Distinct unit generated totally complex quartic fields. (English) Zbl 1286.11172 Math. Comput. 83, No. 287, 1495-1512 (2014). MSC: 11R16 11R27 11D85 PDFBibTeX XMLCite \textit{L. Hajdu} and \textit{V. Ziegler}, Math. Comput. 83, No. 287, 1495--1512 (2014; Zbl 1286.11172) Full Text: DOI
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
Guitart, Xavier; Masdeu, Marc Continued fractions in 2-stage Euclidean quadratic fields. (English) Zbl 1263.11095 Math. Comput. 82, No. 282, 1223-1233 (2013). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R11 11A55 13F07 PDFBibTeX XMLCite \textit{X. Guitart} and \textit{M. Masdeu}, Math. Comput. 82, No. 282, 1223--1233 (2013; Zbl 1263.11095) Full Text: DOI arXiv
Naughton, L.; Pfeiffer, G. Computing the table of marks of a cyclic extension. (English) Zbl 1282.20015 Math. Comput. 81, No. 280, 2419-2438 (2012). MSC: 20C40 19A22 20B40 20D30 20D10 PDFBibTeX XMLCite \textit{L. Naughton} and \textit{G. Pfeiffer}, Math. Comput. 81, No. 280, 2419--2438 (2012; Zbl 1282.20015) Full Text: DOI arXiv
Beers, J.; Henshaw, D.; McCall, C. K.; Mulay, S. B.; Spindler, M. Corrigenda and addenda to “Fundamentality of a cubic unit \(u\) for \(\mathbb{Z}[u]\)”. (English) Zbl 1280.11065 Math. Comput. 81, No. 280, 2383-2387 (2012). MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{J. Beers} et al., Math. Comput. 81, No. 280, 2383--2387 (2012; Zbl 1280.11065) 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
Treviño, Enrique The least inert prime in a real quadratic field. (English) Zbl 1269.11126 Math. Comput. 81, No. 279, 1777-1797 (2012). MSC: 11Y40 11R11 11L40 PDFBibTeX XMLCite \textit{E. Treviño}, Math. Comput. 81, No. 279, 1777--1797 (2012; Zbl 1269.11126) Full Text: DOI
Berkane, D.; Bordellès, O.; Ramaré, O. Explicit upper bounds for the remainder term in the divisor problem. (English) Zbl 1329.11108 Math. Comput. 81, No. 278, 1025-1051 (2012). MSC: 11N56 11N37 11-04 11R29 11R11 PDFBibTeX XMLCite \textit{D. Berkane} et al., Math. Comput. 81, No. 278, 1025--1051 (2012; Zbl 1329.11108) Full Text: DOI
Ahn, Jeoung-Hwan; Kwon, Soun-Hi The imaginary abelian number fields of 2-power degrees with ideal class groups of exponent \(\leq 2\). (English) Zbl 1275.11144 Math. Comput. 81, No. 277, 533-554 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R29 11R20 PDFBibTeX XMLCite \textit{J.-H. Ahn} and \textit{S.-H. Kwon}, Math. Comput. 81, No. 277, 533--554 (2012; Zbl 1275.11144) Full Text: DOI
Buhler, J. P.; Harvey, D. Irregular primes to 163 million. (English) Zbl 1267.11128 Math. Comput. 80, No. 276, 2435-2444 (2011). MSC: 11Y40 11B68 11R18 PDFBibTeX XMLCite \textit{J. P. Buhler} and \textit{D. Harvey}, Math. Comput. 80, No. 276, 2435--2444 (2011; Zbl 1267.11128) Full Text: DOI arXiv
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
Beers, J.; Henshaw, D.; McCall, C. K.; Mulay, S. B.; Spindler, M. Fundamentality of a cubic unit \(u\) for \(\mathbb{Z}[u]\). (English) Zbl 1231.11128 Math. Comput. 80, No. 273, 563-578 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11R27 11R16 PDFBibTeX XMLCite \textit{J. Beers} et al., Math. Comput. 80, No. 273, 563--578 (2011; Zbl 1231.11128) Full Text: DOI
Tamura, Jun-ichi; Yasutomi, Shin-ichi A new multidimensional continued fraction algorithm. (English) Zbl 1217.11067 Math. Comput. 78, No. 268, 2209-2222 (2009). Reviewer: Tonko Tonkov (Sofia) MSC: 11J70 11R16 11Y65 PDFBibTeX XMLCite \textit{J.-i. Tamura} and \textit{S.-i. Yasutomi}, Math. Comput. 78, No. 268, 2209--2222 (2009; Zbl 1217.11067) Full Text: DOI
Fukuda, Takashi; Komatsu, Keiichi On the Iwasawa \(\lambda \)-invariant of the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{p})\). (English) Zbl 1215.11106 Math. Comput. 78, No. 267, 1797-1808 (2009). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R11 PDFBibTeX XMLCite \textit{T. Fukuda} and \textit{K. Komatsu}, Math. Comput. 78, No. 267, 1797--1808 (2009; Zbl 1215.11106) 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
Matthews, Keith R.; Robertson, John P.; White, Jim Corrigenda to “Calculation of the regulator of \(\mathbb Q(\sqrt {D})\) by use of the nearest integer continued fraction algorithm”. (English) Zbl 1214.11121 Math. Comput. 78, No. 265, 615-616 (2009). MSC: 11R11 11R47 11A55 PDFBibTeX XMLCite \textit{K. R. Matthews} et al., Math. Comput. 78, No. 265, 615--616 (2009; Zbl 1214.11121) Full Text: DOI
Hakkarainen, Tuomas On the computation of class numbers of real abelian fields. (English) Zbl 1214.11141 Math. Comput. 78, No. 265, 555-573 (2009). MSC: 11Y40 11R20 11R29 11R27 PDFBibTeX XMLCite \textit{T. Hakkarainen}, Math. Comput. 78, No. 265, 555--573 (2009; Zbl 1214.11141) Full Text: DOI
Hashimoto, Ki-ichiro; Hoshi, Akinari; Rikuna, Yuichi Noether’s problem and \(\mathbb Q\)-generic polynomials for the normalizer of the 8-cycle in \(S_8\) and its subgroups. (English) Zbl 1183.11069 Math. Comput. 77, No. 262, 1153-1183 (2008). Reviewer: Ming-Chang Kang (Taipei) MSC: 11R32 12F10 12F12 PDFBibTeX XMLCite \textit{K.-i. Hashimoto} et al., Math. Comput. 77, No. 262, 1153--1183 (2008; Zbl 1183.11069) Full Text: DOI
Gower, Jason E.; Wagstaff, Samuel S. jun. Square form factorization. (English) Zbl 1126.11004 Math. Comput. 77, No. 261, 551-588 (2008). Reviewer: Harvey Cohn (Fort Lauderdale) MSC: 11A51 11E16 11R11 11Y05 PDFBibTeX XMLCite \textit{J. E. Gower} and \textit{S. S. Wagstaff jun.}, Math. Comput. 77, No. 261, 551--588 (2008; Zbl 1126.11004) Full Text: DOI
Voight, John Quadratic forms that represent almost the same primes. (English) Zbl 1213.11084 Math. Comput. 76, No. 259, 1589-1617 (2007). Reviewer: Lenny Fukshansky (Claremont) MSC: 11E12 11E16 11R11 PDFBibTeX XMLCite \textit{J. Voight}, Math. Comput. 76, No. 259, 1589--1617 (2007; Zbl 1213.11084) Full Text: DOI arXiv
Kraft, James S.; Washington, Lawrence C. Heuristics for class numbers and lambda invariants. (English) Zbl 1111.11049 Math. Comput. 76, No. 258, 1005-1023 (2007). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R23 11R29 11R11 PDFBibTeX XMLCite \textit{J. S. Kraft} and \textit{L. C. Washington}, Math. Comput. 76, No. 258, 1005--1023 (2007; Zbl 1111.11049) 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
Weilert, André Two efficient algorithms for the computation of ideal sums in quadratic orders. (English) Zbl 1158.11353 Math. Comput. 75, No. 254, 941-981 (2006). MSC: 11Y40 11R04 11R11 PDFBibTeX XMLCite \textit{A. Weilert}, Math. Comput. 75, No. 254, 941--981 (2006; Zbl 1158.11353) Full Text: DOI
Hashimoto, Ki-ichiro; Hoshi, Akinari Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations. (English) Zbl 1082.11069 Math. Comput. 74, No. 251, 1519-1530 (2005). Reviewer: Preda Mihailescu (Göttingen) MSC: 11R18 11R27 11T22 12F10 12F12 PDFBibTeX XMLCite \textit{K.-i. Hashimoto} and \textit{A. Hoshi}, Math. Comput. 74, No. 251, 1519--1530 (2005; Zbl 1082.11069) 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
Belabas, Karim On quadratic fields with large 3-rank. (English) Zbl 1051.11055 Math. Comput. 73, No. 248, 2061-2074 (2004). Reviewer: Veikko Ennola (Turku) MSC: 11R11 11R16 11Y40 11R29 11E76 PDFBibTeX XMLCite \textit{K. Belabas}, Math. Comput. 73, No. 248, 2061--2074 (2004; Zbl 1051.11055) Full Text: DOI
Watkins, Mark Class numbers of imaginary quadratic fields. (English) Zbl 1050.11095 Math. Comput. 73, No. 246, 907-938 (2004). Reviewer: Ken Yamamura (Yokosuka) MSC: 11R29 11M06 11Y35 11R11 PDFBibTeX XMLCite \textit{M. Watkins}, Math. Comput. 73, No. 246, 907--938 (2004; Zbl 1050.11095) Full Text: DOI
Breuning, Manuel On equivariant global epsilon constants for certain dihedral extensions. (English) Zbl 1041.11073 Math. Comput. 73, No. 246, 881-898 (2004). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R42 11Y40 PDFBibTeX XMLCite \textit{M. Breuning}, Math. Comput. 73, No. 246, 881--898 (2004; Zbl 1041.11073) Full Text: DOI
Allombert, Bill An efficient algorithm for the computation of Galois automorphisms. (English) Zbl 1094.11045 Math. Comput. 73, No. 245, 359-375 (2004). MSC: 11Y40 11R32 12F10 PDFBibTeX XMLCite \textit{B. Allombert}, Math. Comput. 73, No. 245, 359--375 (2004; Zbl 1094.11045) Full Text: DOI
van der Poorten, Alfred J. A note on NUCOMP. (English) Zbl 1113.11074 Math. Comput. 72, No. 244, 1935-1946 (2003). MSC: 11Y40 11E16 11R11 PDFBibTeX XMLCite \textit{A. J. van der Poorten}, Math. Comput. 72, No. 244, 1935--1946 (2003; Zbl 1113.11074) Full Text: DOI
You, Hong; Chen, Sheng The tame kernel of imaginary quadratic fields with class number 2 or 3. (English) Zbl 1023.11059 Math. Comput. 72, No. 243, 1501-1509 (2003). Reviewer: Manfred Kolster (Hamilton/Ontario) MSC: 11R70 11R11 11Y40 19C99 19F27 PDFBibTeX XMLCite \textit{H. You} and \textit{S. Chen}, Math. Comput. 72, No. 243, 1501--1509 (2003; Zbl 1023.11059) Full Text: DOI
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel Constructing complete tables of quartic fields using Kummer theory. (English) Zbl 1081.11081 Math. Comput. 72, No. 242, 941-951 (2003). Reviewer: Alain S. Togbe (Westville) MSC: 11Y40 11R16 11R29 PDFBibTeX XMLCite \textit{H. Cohen} et al., Math. Comput. 72, No. 242, 941--951 (2003; Zbl 1081.11081) Full Text: DOI
Schoof, René Class numbers of real cyclotomic fields of prime conductor. (English) Zbl 1052.11071 Math. Comput. 72, No. 242, 913-937 (2003). MSC: 11R18 11Y40 11R29 PDFBibTeX XMLCite \textit{R. Schoof}, Math. Comput. 72, No. 242, 913--937 (2003; Zbl 1052.11071) Full Text: DOI
Conrad, Marc; Replogle, Daniel R. Nontrivial Galois module structure of cyclotomic fields. (English) Zbl 1020.11070 Math. Comput. 72, No. 242, 891-899 (2003). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R27 11R29 11R18 PDFBibTeX XMLCite \textit{M. Conrad} and \textit{D. R. Replogle}, Math. Comput. 72, No. 242, 891--899 (2003; Zbl 1020.11070) Full Text: DOI arXiv
Jacobson, Michael J. jun.; Williams, Hugh C. New quadratic polynomials with high densities of prime values. (English) Zbl 1009.11060 Math. Comput. 72, No. 241, 499-519 (2003). Reviewer: Richard A.Mollin (Calgary) MSC: 11R09 11N32 11Y40 11Y16 11R11 11R29 PDFBibTeX XMLCite \textit{M. J. Jacobson jun.} and \textit{H. C. Williams}, Math. Comput. 72, No. 241, 499--519 (2003; Zbl 1009.11060) Full Text: DOI
Louboutin, Stéphane Computation of class numbers of quadratic number fields. (English) Zbl 1030.11079 Math. Comput. 71, No. 240, 1735-1743 (2002). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11Y40 11R42 11R11 11R29 PDFBibTeX XMLCite \textit{S. Louboutin}, Math. Comput. 71, No. 240, 1735--1743 (2002; Zbl 1030.11079) Full Text: DOI
Zhang, Zhenxiang A one-parameter quadratic-base version of the Baillie-PSW probable prime test. (English) Zbl 1076.11063 Math. Comput. 71, No. 240, 1699-1734 (2002). MSC: 11Y11 11A51 11R11 PDFBibTeX XMLCite \textit{Z. Zhang}, Math. Comput. 71, No. 240, 1699--1734 (2002; Zbl 1076.11063) Full Text: DOI
Simon, Denis Solving norm equations in relative number fields using \(S\)-units. (English) Zbl 0990.11014 Math. Comput. 71, No. 239, 1287-1305 (2002). Reviewer: I.Gaál (Debrecen) MSC: 11D57 11Y50 11R29 PDFBibTeX XMLCite \textit{D. Simon}, Math. Comput. 71, No. 239, 1287--1305 (2002; Zbl 0990.11014) 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
Holden, Joshua Comparison of algorithms to calculate quadratic irregularity of prime numbers. (English) Zbl 1066.11057 Math. Comput. 71, No. 238, 863-871 (2002). MSC: 11Y40 11Y60 11Y16 11B68 11R42 11R29 94A60 11R18 PDFBibTeX XMLCite \textit{J. Holden}, Math. Comput. 71, No. 238, 863--871 (2002; Zbl 1066.11057) Full Text: DOI arXiv
Fukuda, Takashi; Komatsu, Keiichi On Iwasawa \(\lambda_3\)-invariants of cyclic cubic fields of prime conductor. (English) Zbl 0993.11056 Math. Comput. 70, No. 236, 1707-1712 (2001). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R23 11R27 11Y40 11R18 PDFBibTeX XMLCite \textit{T. Fukuda} and \textit{K. Komatsu}, Math. Comput. 70, No. 236, 1707--1712 (2001; Zbl 0993.11056) Full Text: DOI
Roberts, David P. Density of cubic field discriminants. (English) Zbl 0985.11068 Math. Comput. 70, No. 236, 1699-1705 (2001). Reviewer: Harvey Cohn (San Diego) MSC: 11Y40 11R16 PDFBibTeX XMLCite \textit{D. P. Roberts}, Math. Comput. 70, No. 236, 1699--1705 (2001; Zbl 0985.11068) Full Text: DOI arXiv
Pauli, Sebastian; Roblot, Xavier-François On the computation of all extensions of a \(p\)-adic field of a given degree. (English) Zbl 0981.11038 Math. Comput. 70, No. 236, 1641-1659 (2001). Reviewer: Gabriel D.Villa-Salvador (México) MSC: 11S05 11S15 11Y40 PDFBibTeX XMLCite \textit{S. Pauli} and \textit{X.-F. Roblot}, Math. Comput. 70, No. 236, 1641--1659 (2001; Zbl 0981.11038) Full Text: DOI
Thaine, F. Jacobi sums and new families of irreducible polynomials of Gaussian periods. (English) Zbl 0989.11056 Math. Comput. 70, No. 236, 1617-1640 (2001). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R18 11R20 11T22 PDFBibTeX XMLCite \textit{F. Thaine}, Math. Comput. 70, No. 236, 1617--1640 (2001; Zbl 0989.11056) Full Text: DOI
van der Poorten, A. J.; te Riele, H. J. J.; Williams, H. C. Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than \(100 000 000 000\). (English) Zbl 0987.11065 Math. Comput. 70, No. 235, 1311-1328 (2001); corrigenda and addition ibid. 72, No. 241, 521-523 (2003). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R11 11-04 11Y40 11Y65 11A55 11J70 PDFBibTeX XMLCite \textit{A. J. van der Poorten} et al., Math. Comput. 70, No. 235, 1311--1328 (2001; Zbl 0987.11065) Full Text: DOI
Howe, Everett W. Higher-order Carmichael numbers. (English) Zbl 0966.11006 Math. Comput. 69, No. 232, 1711-1719 (2000). Reviewer: Gerhard Kowol (Wien) MSC: 11A51 11N25 11Y11 13B40 PDFBibTeX XMLCite \textit{E. W. Howe}, Math. Comput. 69, No. 232, 1711--1719 (2000; Zbl 0966.11006) Full Text: DOI arXiv
Browkin, Jerzy [Belabas, Karim; Gangl, Herbert] Computing the tame kernel of quadratic imaginary fields (with an appendix by Karim Belabas and Herbert Gangl). (English) Zbl 0954.19002 Math. Comput. 69, No. 232, 1667-1683 (2000). Reviewer: M.Kolster (Hamilton/Ontario) MSC: 19C20 11R70 11R11 11Y40 PDFBibTeX XMLCite \textit{J. Browkin}, Math. Comput. 69, No. 232, 1667--1683 (2000; Zbl 0954.19002) Full Text: DOI
Thaine, F. Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers. (English) Zbl 0989.11055 Math. Comput. 69, No. 232, 1653-1666 (2000). Reviewer: G.Lettl (Graz) MSC: 11R18 11R20 11T22 PDFBibTeX XMLCite \textit{F. Thaine}, Math. Comput. 69, No. 232, 1653--1666 (2000; Zbl 0989.11055) Full Text: DOI
Couveignes, Jean-Marc Isomorphisms between Artin-Schreier towers. (English) Zbl 0983.11074 Math. Comput. 69, No. 232, 1625-1631 (2000). Reviewer: J.M.Muñoz Porras (Salamanca) MSC: 11Y40 12E20 11G20 PDFBibTeX XMLCite \textit{J.-M. Couveignes}, Math. Comput. 69, No. 232, 1625--1631 (2000; Zbl 0983.11074) 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
Shokrollahi, M. A. Relative class number of imaginary abelian fields of prime conductor below 10000. (English) Zbl 0944.11044 Math. Comput. 68, No. 228, 1717-1728 (1999). Reviewer: Peter Stevenhagen (Amsterdam) MSC: 11Y40 11R29 11R18 PDFBibTeX XMLCite \textit{M. A. Shokrollahi}, Math. Comput. 68, No. 228, 1717--1728 (1999; Zbl 0944.11044) Full Text: DOI
Shanks, Daniel C.; Sime, Patrick J.; Washington, Lawrence C. Zeros of 2-adic \(L\)-functions and congruences for class numbers and fundamental units. (English) Zbl 0923.11149 Math. Comput. 68, No. 227, 1243-1255 (1999). Reviewer: T.Metsänkylä (Turku) MSC: 11R11 11S40 11R27 11R29 PDFBibTeX XMLCite \textit{D. C. Shanks} et al., Math. Comput. 68, No. 227, 1243--1255 (1999; Zbl 0923.11149) Full Text: DOI
Acciaro, Vincenzo; Klüners, Jürgen Computing automorphisms of abelian number fields. (English) Zbl 0937.11062 Math. Comput. 68, No. 227, 1179-1186 (1999). Reviewer: Peter Stevenhagen (Amsterdam) MSC: 11Y40 11R20 11-04 PDFBibTeX XMLCite \textit{V. Acciaro} and \textit{J. Klüners}, Math. Comput. 68, No. 227, 1179--1186 (1999; Zbl 0937.11062) Full Text: DOI
Jacobson, Michael J. jun. Applying sieving to the computation of quadratic class groups. (English) Zbl 1036.11067 Math. Comput. 68, No. 226, 859-867 (1999). MSC: 11Y40 11R11 11R29 PDFBibTeX XMLCite \textit{M. J. Jacobson jun.}, Math. Comput. 68, No. 226, 859--867 (1999; Zbl 1036.11067) Full Text: DOI
Feisel, Sandra; von zur Gathen, Joachim; Shokrollahi, M. Amin Normal bases via general Gauss periods. (English) Zbl 0922.11103 Math. Comput. 68, No. 225, 271-290 (1999). Reviewer: D.Hachenberger (Augsburg) MSC: 11T22 11R18 12E20 12F10 68W30 11T30 PDFBibTeX XMLCite \textit{S. Feisel} et al., Math. Comput. 68, No. 225, 271--290 (1999; Zbl 0922.11103) Full Text: DOI
Browkin, Jerzy; Gangl, Herbert Tame and wild kernels of quadratic imaginary number fields. (English) Zbl 0919.11079 Math. Comput. 68, No. 225, 291-305 (1999). Reviewer: M.Kolster (Hamilton/Ontario) MSC: 11R70 19F27 11Y40 19C99 11R11 PDFBibTeX XMLCite \textit{J. Browkin} and \textit{H. Gangl}, Math. Comput. 68, No. 225, 291--305 (1999; Zbl 0919.11079) Full Text: DOI
Steiner, Ray Class number bounds and Catalan’s equation. (English) Zbl 0897.11009 Math. Comput. 67, No. 223, 1317-1322 (1998). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D61 11R29 11R11 11-04 11Y50 PDFBibTeX XMLCite \textit{R. Steiner}, Math. Comput. 67, No. 223, 1317--1322 (1998; Zbl 0897.11009) Full Text: DOI
Srinivasan, Anitha Computations of class numbers of real quadratic fields. (English) Zbl 0898.11047 Math. Comput. 67, No. 223, 1285-1308 (1998). Reviewer: R.Mollin (Calgary) MSC: 11Y40 11R29 11R11 PDFBibTeX XMLCite \textit{A. Srinivasan}, Math. Comput. 67, No. 223, 1285--1308 (1998; Zbl 0898.11047) Full Text: DOI
Schoof, René Minus class groups of the fields of the \(l\)-th roots of unity. (English) Zbl 0902.11043 Math. Comput. 67, No. 223, 1225-1245 (1998). Reviewer: Franz Lemmermeyer (Saarbrücken) MSC: 11R18 11R29 11R34 11-04 11R23 11B68 PDFBibTeX XMLCite \textit{R. Schoof}, Math. Comput. 67, No. 223, 1225--1245 (1998; Zbl 0902.11043) 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
Jakubec, Stanislav On divisibility of the class number \(h^{+}\) of the real cyclotomic fields of prime degree \(l\). (English) Zbl 0914.11057 Math. Comput. 67, No. 221, 369-398 (1998). Reviewer: T.Metsänkylä (Turku) MSC: 11R29 11R18 11Y40 PDFBibTeX XMLCite \textit{S. Jakubec}, Math. Comput. 67, No. 221, 369--398 (1998; Zbl 0914.11057) Full Text: DOI
Arnault, F. The Rabin-Monier theorem for Lucas pseudoprimes. (English) Zbl 0872.11056 Math. Comput. 66, No. 218, 869-881 (1997). Reviewer: H.J.Godwin (Egham) MSC: 11Y11 11A51 11R11 PDFBibTeX XMLCite \textit{F. Arnault}, Math. Comput. 66, No. 218, 869--881 (1997; Zbl 0872.11056) Full Text: DOI
Mattman, Thomas; McKay, John Computation of Galois groups over function fields. (English) Zbl 0946.12002 Math. Comput. 66, No. 218, 823-831 (1997). MSC: 12Y05 12F10 11R32 11R58 12F12 11Y40 PDFBibTeX XMLCite \textit{T. Mattman} and \textit{J. McKay}, Math. Comput. 66, No. 218, 823--831 (1997; Zbl 0946.12002) Full Text: DOI
Powell, Corey Bounds for multiplicative cosets over fields of prime order. (English) Zbl 0880.11003 Math. Comput. 66, No. 218, 807-822 (1997). MSC: 11A07 11A15 11N05 11R18 11R44 PDFBibTeX XMLCite \textit{C. Powell}, Math. Comput. 66, No. 218, 807--822 (1997; Zbl 0880.11003) Full Text: DOI
Fieker, C.; Jurk, A.; Pohst, M. On solving relative norm equations in algebraic number fields. (English) Zbl 0854.11076 Math. Comput. 66, No. 217, 399-410 (1997). MSC: 11Y40 11Y16 PDFBibTeX XMLCite \textit{C. Fieker} et al., Math. Comput. 66, No. 217, 399--410 (1997; Zbl 0854.11076) Full Text: DOI
Ernvall, Reijo; Metsänkylä, Tauno On the \(p\)-divisibility of Fermat quotients. (English) Zbl 0903.11002 Math. Comput. 66, No. 219, 1353-1365 (1997). Reviewer: L.Skula (Brno) MSC: 11A15 11Y70 11D41 11R18 11A41 11-04 PDFBibTeX XMLCite \textit{R. Ernvall} and \textit{T. Metsänkylä}, Math. Comput. 66, No. 219, 1353--1365 (1997; Zbl 0903.11002) 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
Cohen, Henri Hermite and Smith normal form algorithms over Dedekind domains. (English) Zbl 0853.11100 Math. Comput. 65, No. 216, 1681-1699 (1996). MSC: 11Y40 13P99 11R99 13F05 11R04 PDFBibTeX XMLCite \textit{H. Cohen}, Math. Comput. 65, No. 216, 1681--1699 (1996; Zbl 0853.11100) Full Text: DOI
Clark, David A. Non-Galois cubic fields which are Euclidean but not norm-Euclidean. (English) Zbl 0853.11084 Math. Comput. 65, No. 216, 1675-1679 (1996). MSC: 11R16 11A05 PDFBibTeX XMLCite \textit{D. A. Clark}, Math. Comput. 65, No. 216, 1675--1679 (1996; Zbl 0853.11084) Full Text: DOI
Acciaro, Vincenzo Solvability of norm equations over cyclic number fields of prime degree. (English) Zbl 0853.11101 Math. Comput. 65, No. 216, 1663-1674 (1996). MSC: 11Y40 11R37 11R20 PDFBibTeX XMLCite \textit{V. Acciaro}, Math. Comput. 65, No. 216, 1663--1674 (1996; Zbl 0853.11101) Full Text: DOI
Fukuda, Takashi Cyclotomic units and Greenberg’s conjecture for real quadratic fields. (English) Zbl 0862.11060 Math. Comput. 65, No. 215, 1339-1348 (1996). Reviewer: T.Metsänkylä (Turku) MSC: 11R23 11R11 11R27 11Y40 PDFBibTeX XMLCite \textit{T. Fukuda}, Math. Comput. 65, No. 215, 1339--1348 (1996; Zbl 0862.11060) Full Text: DOI
Bosma, Wieb; Stevenhagen, Peter Density computations for real quadratic units. (English) Zbl 0859.11064 Math. Comput. 65, No. 215, 1327-1337 (1996). Reviewer: H.Cohn (Bowie) MSC: 11Y40 11R45 11R11 11E16 PDFBibTeX XMLCite \textit{W. Bosma} and \textit{P. Stevenhagen}, Math. Comput. 65, No. 215, 1327--1337 (1996; Zbl 0859.11064) Full Text: DOI
Wagner, Christian Class number 5, 6 and 7. (English) Zbl 0857.11057 Math. Comput. 65, No. 214, 785-800 (1996). Reviewer: M.Pohst (Berlin) MSC: 11R29 11R11 11Y40 PDFBibTeX XMLCite \textit{C. Wagner}, Math. Comput. 65, No. 214, 785--800 (1996; Zbl 0857.11057) Full Text: DOI
Taya, Hisao Computation of \(\mathbb{Z}_ 3\)-invariants of real quadratic fields. (English) Zbl 0851.11062 Math. Comput. 65, No. 214, 779-784 (1996). Reviewer: L.Skula (Brno) MSC: 11R23 11R11 11R27 11Y40 PDFBibTeX XMLCite \textit{H. Taya}, Math. Comput. 65, No. 214, 779--784 (1996; Zbl 0851.11062) Full Text: DOI
Mignotte, Maurice; Pethö, Attila; Roth, Ralf Complete solutions of a family of quartic Thue and index form equations. (English) Zbl 0853.11022 Math. Comput. 65, No. 213, 341-354 (1996). Reviewer: N.Tzanakis (Iraklion) MSC: 11D25 11R16 11D57 11Y50 PDFBibTeX XMLCite \textit{M. Mignotte} et al., Math. Comput. 65, No. 213, 341--354 (1996; Zbl 0853.11022) Full Text: DOI
Daberkow, M.; Pohst, M. On integral bases in relative quadratic extensions. (English) Zbl 0862.11057 Math. Comput. 65, No. 213, 319-329 (1996). Reviewer: I.Gaál (Debrecen) MSC: 11R04 11R20 11Y40 PDFBibTeX XMLCite \textit{M. Daberkow} and \textit{M. Pohst}, Math. Comput. 65, No. 213, 319--329 (1996; Zbl 0862.11057) Full Text: DOI
Fukuda, Takashi; Komatsu, Keiichi A capitulation problem and Greenberg’s conjecture on real quadratic fields. (English) Zbl 0860.11067 Math. Comput. 65, No. 213, 313-318 (1996). Reviewer: T.Takeuchi (Niigata) MSC: 11R23 11Y40 11R11 PDFBibTeX XMLCite \textit{T. Fukuda} and \textit{K. Komatsu}, Math. Comput. 65, No. 213, 313--318 (1996; Zbl 0860.11067) 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
Jha, Vijay Faster computation of the first factor of the class number of \(\mathbb{Q}(\zeta_ p)\). (English) Zbl 0863.11084 Math. Comput. 64, No. 212, 1705-1710 (1995). Reviewer: T.Metsänkylä (Turku) MSC: 11Y40 11R29 11R18 PDFBibTeX XMLCite \textit{V. Jha}, Math. Comput. 64, No. 212, 1705--1710 (1995; Zbl 0863.11084) Full Text: DOI
Zhang, Mingyao On Yokoi’s conjecture. (English) Zbl 0848.11056 Math. Comput. 64, No. 212, 1675-1685 (1995). Reviewer: R.Mollin (Calgary) MSC: 11R29 11R11 PDFBibTeX XMLCite \textit{M. Zhang}, Math. Comput. 64, No. 212, 1675--1685 (1995; Zbl 0848.11056) Full Text: DOI
Friedman, Eduardo; Sands, Jonathan W. [Washington, Lawrence C.] On the \(l\)-adic Iwasawa \(\lambda\)-invariant in \(p\)-extension. (With an appendix by Lawrence C. Washington). (English) Zbl 0854.11055 Math. Comput. 64, No. 212, 1659-1674 (1995). Reviewer: H.Taya (Sendai) MSC: 11R23 11R18 11Y40 PDFBibTeX XMLCite \textit{E. Friedman} and \textit{J. W. Sands}, Math. Comput. 64, No. 212, 1659--1674 (1995; Zbl 0854.11055) Full Text: DOI