Capuñay, Alex; Espinoza, Milton; Friedman, Eduardo Attractor-repeller construction of Shintani domains for totally complex quartic fields. (English) Zbl 07802058 J. Number Theory 258, 146-172 (2024). MSC: 11R42 11R27 11R16 11Y40 11R29 PDFBibTeX XMLCite \textit{A. Capuñay} et al., J. Number Theory 258, 146--172 (2024; Zbl 07802058) Full Text: DOI
Wong, Siman On the rank of cubic and quartic twists of elliptic curves by primes. (English) Zbl 1519.14032 J. Number Theory 246, 157-165 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 14H52 11G05 11G35 11N36 PDFBibTeX XMLCite \textit{S. Wong}, J. Number Theory 246, 157--165 (2023; Zbl 1519.14032) Full Text: DOI
Aygin, Zafer Selcuk; Nguyen, Khoa D. Corrigendum to: “Monogenic pure cubics”. (English) Zbl 1496.11130 J. Number Theory 242, 244 (2023). MSC: 11R16 11R58 11D25 PDFBibTeX XMLCite \textit{Z. S. Aygin} and \textit{K. D. Nguyen}, J. Number Theory 242, 244 (2023; Zbl 1496.11130) Full Text: DOI
Lee, Junguk; Lee, Wan; Nam, Hayan; Yu, Myungjun Families of non-congruent numbers with odd prime factors of the form \(8k + 3\). (English) Zbl 1498.11146 J. Number Theory 238, 474-501 (2022). MSC: 11G05 11D25 11C08 PDFBibTeX XMLCite \textit{J. Lee} et al., J. Number Theory 238, 474--501 (2022; Zbl 1498.11146) Full Text: DOI
Nomoto, Keiichiro The rank of a CM elliptic curve and a recurrence formula. (English) Zbl 1522.11068 J. Number Theory 238, 60-81 (2022). MSC: 11G40 11G05 11D25 14H45 PDFBibTeX XMLCite \textit{K. Nomoto}, J. Number Theory 238, 60--81 (2022; Zbl 1522.11068) Full Text: DOI arXiv
Tengely, Szabolcs; Ulas, Maciej Diophantine problems related to cyclic cubic and quartic fields. (English) Zbl 1508.11105 J. Number Theory 240, 656-684 (2022). Reviewer: Yong Zhang (Changsha) MSC: 11R16 11D25 11R27 11R29 PDFBibTeX XMLCite \textit{S. Tengely} and \textit{M. Ulas}, J. Number Theory 240, 656--684 (2022; Zbl 1508.11105) Full Text: DOI arXiv
El Fadil, Lhoussain On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\). (English) Zbl 1494.11084 J. Number Theory 239, 489-500 (2022). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, J. Number Theory 239, 489--500 (2022; Zbl 1494.11084) Full Text: DOI
Gaál, István; Pohst, Michael E. On calculating the number \(N(D)\) of global cubic fields \(F\) of given discriminant \(D\). (English) Zbl 1493.11159 J. Number Theory 236, 479-491 (2022). Reviewer: Günter Lettl (Graz) MSC: 11Y40 11R16 11R58 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{M. E. Pohst}, J. Number Theory 236, 479--491 (2022; Zbl 1493.11159) Full Text: DOI
González, Josep On the \(p\)-th division polynomial. (English) Zbl 1486.11086 J. Number Theory 233, 285-300 (2022). MSC: 11G05 11G20 11D25 14H52 PDFBibTeX XMLCite \textit{J. González}, J. Number Theory 233, 285--300 (2022; Zbl 1486.11086) Full Text: DOI
El Fadil, Lhoussain On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients. (English) Zbl 1479.11182 J. Number Theory 228, 375-389 (2021). Reviewer: Radoslav M. Dimitrić (New York) MSC: 11R04 11R16 11R21 11Y50 11Y40 11R29 PDFBibTeX XMLCite \textit{L. El Fadil}, J. Number Theory 228, 375--389 (2021; Zbl 1479.11182) Full Text: DOI arXiv
Laflamme, Jeanne; Lalín, Matilde On Ceva points of (almost) equilateral triangles. (English) Zbl 1475.11114 J. Number Theory 222, 48-74 (2021). Reviewer: David McKinnon (Waterloo) MSC: 11G05 14J27 14J28 14H52 11D25 PDFBibTeX XMLCite \textit{J. Laflamme} and \textit{M. Lalín}, J. Number Theory 222, 48--74 (2021; Zbl 1475.11114) Full Text: DOI
Chen, Sheng Integral points on twisted Markoff surfaces. (English) Zbl 1468.11149 J. Number Theory 220, 212-234 (2021). MSC: 11G35 11D25 14F22 14G12 PDFBibTeX XMLCite \textit{S. Chen}, J. Number Theory 220, 212--234 (2021; Zbl 1468.11149) Full Text: DOI arXiv
Aygin, Zafer Selcuk; Nguyen, Khoa D. Monogenic pure cubics. (English) Zbl 1460.11126 J. Number Theory 219, 356-367 (2021); corrigendum ibid. 242, 244 (2023). MSC: 11R16 11R58 11D25 PDFBibTeX XMLCite \textit{Z. S. Aygin} and \textit{K. D. Nguyen}, J. Number Theory 219, 356--367 (2021; Zbl 1460.11126) Full Text: DOI arXiv
Cerbu, Alois; Gunther, Elijah; Magee, Michael; Peilen, Luke The cycle structure of a Markoff automorphism over finite fields. (English) Zbl 1459.37096 J. Number Theory 211, 1-27 (2020). MSC: 37P05 37P35 11D25 11G35 11F06 20B27 11G20 PDFBibTeX XMLCite \textit{A. Cerbu} et al., J. Number Theory 211, 1--27 (2020; Zbl 1459.37096) Full Text: DOI arXiv Link
Hough, Robert D. The local zeta function in enumerating quartic fields. (English) Zbl 1454.11175 J. Number Theory 210, 1-131 (2020). MSC: 11N45 11R16 11S90 11T23 PDFBibTeX XMLCite \textit{R. D. Hough}, J. Number Theory 210, 1--131 (2020; Zbl 1454.11175) Full Text: DOI arXiv
Gallegos-Ruiz, H. R.; Katsipis, N.; Tengely, Sz.; Ulas, M. On the Diophantine equation \(\binom{n}{k} = \binom{m}{l} + d\). (English) Zbl 1451.11020 J. Number Theory 208, 418-440 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11D41 11G30 11G05 11J86 PDFBibTeX XMLCite \textit{H. R. Gallegos-Ruiz} et al., J. Number Theory 208, 418--440 (2020; Zbl 1451.11020) Full Text: DOI arXiv
Louboutin, Stéphane R. Non-Galois cubic number fields with exceptional units. II. (English) Zbl 1453.11137 J. Number Theory 206, 62-80 (2020). MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{S. R. Louboutin}, J. Number Theory 206, 62--80 (2020; Zbl 1453.11137) Full Text: DOI
Chattopadhyay, Jaitra; Muthukrishnan, Subramani Biquadratic fields having a non-principal Euclidean ideal class. (English) Zbl 1482.11147 J. Number Theory 204, 99-112 (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R29 11A05 11R16 PDFBibTeX XMLCite \textit{J. Chattopadhyay} and \textit{S. Muthukrishnan}, J. Number Theory 204, 99--112 (2019; Zbl 1482.11147) Full Text: DOI arXiv
Lalín, Matilde; Ma, Xinchun \({\theta}\)-triangle and \({\omega}\)-parallelogram pairs with common area and common perimeter. (English) Zbl 1448.11106 J. Number Theory 202, 1-26 (2019). MSC: 11G05 14H52 14J27 11D25 PDFBibTeX XMLCite \textit{M. Lalín} and \textit{X. Ma}, J. Number Theory 202, 1--26 (2019; Zbl 1448.11106) Full Text: DOI
Zhang, Long; Xu, Kejian On the tame kernels of imaginary cyclic quartic fields with class number one. (English) Zbl 1445.11137 J. Number Theory 201, 377-397 (2019). MSC: 11R70 19F27 11R29 19D45 11Y40 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{K. Xu}, J. Number Theory 201, 377--397 (2019; Zbl 1445.11137) Full Text: DOI arXiv
Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. A family of monogenic \(S_4\) quartic fields arising from elliptic curves. (English) Zbl 1410.11050 J. Number Theory 197, 361-382 (2019). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R04 11R16 PDFBibTeX XMLCite \textit{T. A. Gassert} et al., J. Number Theory 197, 361--382 (2019; Zbl 1410.11050) Full Text: DOI arXiv
Zhou, Haiyan; Liang, Zhibin Tame kernels of cubic and sextic fields. (English) Zbl 1442.11157 J. Number Theory 190, 277-291 (2018). MSC: 11R70 11R16 11R20 11R29 19F15 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{Z. Liang}, J. Number Theory 190, 277--291 (2018; Zbl 1442.11157) Full Text: DOI
Das, Pradeep; Juyal, Abhishek; Moody, Dustin Integral isosceles triangle-parallelogram and Heron triangle-rhombus pairs with a common area and common perimeter. (English) Zbl 1421.11025 J. Number Theory 180, 208-218 (2017). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{P. Das} et al., J. Number Theory 180, 208--218 (2017; Zbl 1421.11025) Full Text: DOI
Byeon, Dongho; Jeong, Keunyoung Sums of two rational cubes with many prime factors. (English) Zbl 1405.11132 J. Number Theory 179, 240-255 (2017). MSC: 11P55 11D25 11G40 PDFBibTeX XMLCite \textit{D. Byeon} and \textit{K. Jeong}, J. Number Theory 179, 240--255 (2017; Zbl 1405.11132) Full Text: DOI
Klys, Jack Reflection principles for class groups. (English) Zbl 1428.11194 J. Number Theory 177, 328-352 (2017). MSC: 11R29 11R33 11R16 PDFBibTeX XMLCite \textit{J. Klys}, J. Number Theory 177, 328--352 (2017; Zbl 1428.11194) Full Text: DOI arXiv
Taous, Mohammed; Zekhnini, Abdelkader Pólya groups of the imaginary bicyclic biquadratic number fields. (English) Zbl 1428.11185 J. Number Theory 177, 307-327 (2017). MSC: 11R04 11R16 11R27 13F20 PDFBibTeX XMLCite \textit{M. Taous} and \textit{A. Zekhnini}, J. Number Theory 177, 307--327 (2017; Zbl 1428.11185) Full Text: DOI
Aoki, Miho; Kishi, Yasuhiro An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five. (English) Zbl 1422.11221 J. Number Theory 176, 333-343 (2017). MSC: 11R11 11R16 11R29 PDFBibTeX XMLCite \textit{M. Aoki} and \textit{Y. Kishi}, J. Number Theory 176, 333--343 (2017; Zbl 1422.11221) Full Text: DOI
Hofmann, Tommy; Zhang, Yinan Valuations of \(p\)-adic regulators of cyclic cubic fields. (English) Zbl 1409.11141 J. Number Theory 169, 86-102 (2016). MSC: 11Y40 11R16 11R27 PDFBibTeX XMLCite \textit{T. Hofmann} and \textit{Y. Zhang}, J. Number Theory 169, 86--102 (2016; Zbl 1409.11141) Full Text: DOI arXiv
Bremner, Andrew; Carrillo, Benjamin On \(K\)-derived quartics. (English) Zbl 1396.11055 J. Number Theory 168, 276-291 (2016). MSC: 11D25 11D41 11G05 11G30 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{B. Carrillo}, J. Number Theory 168, 276--291 (2016; Zbl 1396.11055) Full Text: DOI
Balady, Steve Families of cyclic cubic fields. (English) Zbl 1414.11132 J. Number Theory 167, 394-406 (2016). MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{S. Balady}, J. Number Theory 167, 394--406 (2016; Zbl 1414.11132) Full Text: DOI arXiv
Lettl, Günter; Prabpayak, Chanwit Orders in cubic number fields. (English) Zbl 1415.11152 J. Number Theory 166, 415-423 (2016). MSC: 11R16 11R42 PDFBibTeX XMLCite \textit{G. Lettl} and \textit{C. Prabpayak}, J. Number Theory 166, 415--423 (2016; Zbl 1415.11152) Full Text: DOI
Zhang, Yong Right triangle and parallelogram pairs with a common area and a common perimeter. (English) Zbl 1391.11063 J. Number Theory 164, 179-190 (2016). Reviewer: David McKinnon (Waterloo) MSC: 11D25 11D72 11G05 PDFBibTeX XMLCite \textit{Y. Zhang}, J. Number Theory 164, 179--190 (2016; Zbl 1391.11063) Full Text: DOI
Chou, Michael Torsion of rational elliptic curves over quartic Galois number fields. (English) Zbl 1341.11026 J. Number Theory 160, 603-628 (2016). Reviewer: Sungkon Chang (Savannah) MSC: 11G05 PDFBibTeX XMLCite \textit{M. Chou}, J. Number Theory 160, 603--628 (2016; Zbl 1341.11026) Full Text: DOI arXiv
Sun, Chaochao; Xu, Kejian On the \(p\)-rank of tame kernel of number fields. (English) Zbl 1333.11109 J. Number Theory 158, 244-267 (2016). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R70 PDFBibTeX XMLCite \textit{C. Sun} and \textit{K. Xu}, J. Number Theory 158, 244--267 (2016; Zbl 1333.11109) Full Text: DOI
Bremner, Andrew; Ulas, Maciej Points at rational distances from the vertices of certain geometric objects. (English) Zbl 1400.11085 J. Number Theory 158, 104-133 (2016). MSC: 11D25 11G35 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{M. Ulas}, J. Number Theory 158, 104--133 (2016; Zbl 1400.11085) Full Text: DOI arXiv
Jeon, Daeyeol; Kim, Chang Heon; Lee, Yoonjin Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields. (English) Zbl 1394.11046 J. Number Theory 147, 342-363 (2015). MSC: 11G05 11G18 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Number Theory 147, 342--363 (2015; Zbl 1394.11046) Full Text: DOI
Zhang, Yong; Cai, Tianxin On products of consecutive arithmetic progressions. (English) Zbl 1394.11027 J. Number Theory 147, 287-299 (2015). MSC: 11D25 11D72 11G05 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{T. Cai}, J. Number Theory 147, 287--299 (2015; Zbl 1394.11027) Full Text: DOI
Wong, Siman Arithmetic of octahedral sextics. (English) Zbl 1300.11108 J. Number Theory 145, 245-272 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11R09 11R21 11R29 11R32 PDFBibTeX XMLCite \textit{S. Wong}, J. Number Theory 145, 245--272 (2014; Zbl 1300.11108) Full Text: DOI
Heidaryan, Bahar; Rajaei, Ali Biquadratic Pólya fields with only one quadratic Pólya subfield. (English) Zbl 1296.11135 J. Number Theory 143, 279-285 (2014). MSC: 11R04 11R16 11R34 PDFBibTeX XMLCite \textit{B. Heidaryan} and \textit{A. Rajaei}, J. Number Theory 143, 279--285 (2014; Zbl 1296.11135) Full Text: DOI
Lee, Jun Ho Evaluation of the Dedekind zeta functions at \(s=-1\) of the simplest quartic fields. (English) Zbl 1305.11093 J. Number Theory 143, 24-45 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11R42 11R80 PDFBibTeX XMLCite \textit{J. H. Lee}, J. Number Theory 143, 24--45 (2014; Zbl 1305.11093) Full Text: DOI
Bremner, Andrew; Ulas, Maciej On certain Diophantine equations of diagonal type. (English) Zbl 1291.11067 J. Number Theory 136, 46-64 (2014). MSC: 11D41 11D45 11G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{M. Ulas}, J. Number Theory 136, 46--64 (2014; Zbl 1291.11067) Full Text: DOI arXiv
Ulas, Maciej A note on Diophantine systems involving three symmetric polynomials. (English) Zbl 1295.11028 J. Number Theory 133, No. 10, 3283-3295 (2013). MSC: 11D25 11D72 11G05 11C08 PDFBibTeX XMLCite \textit{M. Ulas}, J. Number Theory 133, No. 10, 3283--3295 (2013; Zbl 1295.11028) Full Text: DOI arXiv
Fieker, Claus; Gaál, István; Pohst, Michael On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\). (English) Zbl 1309.11088 J. Number Theory 133, No. 2, 738-750 (2013). MSC: 11Y50 11D25 11D61 11G05 PDFBibTeX XMLCite \textit{C. Fieker} et al., J. Number Theory 133, No. 2, 738--750 (2013; Zbl 1309.11088) Full Text: DOI
Jeon, Daeyeol; Kim, Chang Heon; Lee, Yoonjin Infinite families of elliptic curves over dihedral quartic number fields. (English) Zbl 1268.11077 J. Number Theory 133, No. 1, 115-122 (2013). MSC: 11G05 11G18 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Number Theory 133, No. 1, 115--122 (2013; Zbl 1268.11077) Full Text: DOI
Leriche, Amandine Cubic, quartic and sextic Pólya fields. (English) Zbl 1296.11136 J. Number Theory 133, No. 1, 59-71 (2013). MSC: 11R16 11R20 11R04 13F20 PDFBibTeX XMLCite \textit{A. Leriche}, J. Number Theory 133, No. 1, 59--71 (2013; Zbl 1296.11136) Full Text: DOI
Siksek, Samir On the number of Mordell-Weil generators for cubic surfaces. (English) Zbl 1253.14023 J. Number Theory 132, No. 11, 2610-2629 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11D25 11E76 11G35 11G25 PDFBibTeX XMLCite \textit{S. Siksek}, J. Number Theory 132, No. 11, 2610--2629 (2012; Zbl 1253.14023) Full Text: DOI arXiv
Zhang, Yong; Cai, Tianxin \(n\)-tuples of positive integers with the same second elementary symmetric function value and the same product. (English) Zbl 1285.11059 J. Number Theory 132, No. 9, 2065-2074 (2012). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11D72 11D25 11G05 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{T. Cai}, J. Number Theory 132, No. 9, 2065--2074 (2012; Zbl 1285.11059) Full Text: DOI
Diaz y Diaz, Francisco; Friedman, Eduardo Colmez cones for fundamental units of totally real cubic fields. (English) Zbl 1257.11097 J. Number Theory 132, No. 8, 1653-1663 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{F. Diaz y Diaz} and \textit{E. Friedman}, J. Number Theory 132, No. 8, 1653--1663 (2012; Zbl 1257.11097) Full Text: DOI
Elsenhans, Andreas-Stephan; Jahnel, Jörg On the quasi-group of a cubic surface over a finite field. (English) Zbl 1333.11060 J. Number Theory 132, No. 7, 1554-1571 (2012). MSC: 11G25 11D25 11G35 14J26 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, J. Number Theory 132, No. 7, 1554--1571 (2012; Zbl 1333.11060) Full Text: DOI arXiv
Najman, Filip Torsion of elliptic curves over cubic fields. (English) Zbl 1268.11080 J. Number Theory 132, No. 1, 26-36 (2012). MSC: 11G05 11G18 11R16 14H52 PDFBibTeX XMLCite \textit{F. Najman}, J. Number Theory 132, No. 1, 26--36 (2012; Zbl 1268.11080) Full Text: DOI arXiv
Brink, David Remark on infinite unramified extensions of number fields with class number one. (English) Zbl 1215.11123 J. Number Theory 130, No. 2, 304-306 (2010). Reviewer: Alessandro Cobbe (Cervignano del Friuli) MSC: 11Y40 11R16 11R29 11R32 PDFBibTeX XMLCite \textit{D. Brink}, J. Number Theory 130, No. 2, 304--306 (2010; Zbl 1215.11123) Full Text: DOI
Fujii, Satoshi The torsion of \(p\)-ramified Iwasawa modules for \(\mathbb Z^2_p\)-extensions. (English) Zbl 1192.11075 J. Number Theory 129, No. 8, 1956-1964 (2009). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11R23 11R16 PDFBibTeX XMLCite \textit{S. Fujii}, J. Number Theory 129, No. 8, 1956--1964 (2009; Zbl 1192.11075) Full Text: DOI
Malle, Gunter Cohen-Lenstra heuristic and roots of unity. (English) Zbl 1225.11143 J. Number Theory 128, No. 10, 2823-2835 (2008). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R29 11R16 11Y40 PDFBibTeX XMLCite \textit{G. Malle}, J. Number Theory 128, No. 10, 2823--2835 (2008; Zbl 1225.11143) Full Text: DOI
Madore, David A. Rational equivalence on cubic hypersurfaces of bad reduction. (Équivalence rationnelle sur les hypersurfaces cubiques de mauvaise réduction.) (French) Zbl 1167.14007 J. Number Theory 128, No. 4, 926-944 (2008). Reviewer: Martin Bright (Bristol) MSC: 14C25 11G25 14G20 14J20 14J70 14C15 11D25 PDFBibTeX XMLCite \textit{D. A. Madore}, J. Number Theory 128, No. 4, 926--944 (2008; Zbl 1167.14007) Full Text: DOI
Lasjaunias, Alain On Robbins’ example of a continued fraction expansion for a quartic power series over \(\mathbb F_{13}\). (English) Zbl 1219.11107 J. Number Theory 128, No. 5, 1109-1115 (2008). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11J70 11A55 11T55 PDFBibTeX XMLCite \textit{A. Lasjaunias}, J. Number Theory 128, No. 5, 1109--1115 (2008; Zbl 1219.11107) 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
Louboutin, Stéphane R. The class-number one problem for some real cubic number fields with negative discriminants. (English) Zbl 1171.11057 J. Number Theory 121, No. 1, 30-39 (2006). MSC: 11R16 11R29 11R42 PDFBibTeX XMLCite \textit{S. R. Louboutin}, J. Number Theory 121, No. 1, 30--39 (2006; Zbl 1171.11057) Full Text: DOI
Kim, Sey On congruence relations between the fundamental units of biquadratic fields. (English) Zbl 1171.11327 J. Number Theory 121, No. 1, 7-29 (2006). MSC: 11R16 11R27 11R42 PDFBibTeX XMLCite \textit{S. Kim}, J. Number Theory 121, No. 1, 7--29 (2006; Zbl 1171.11327) Full Text: DOI
Sun, Zhihong On the number of incongruent residues of \(x^4+ax^2+bx\) modulo \(p\). (English) Zbl 1205.11009 J. Number Theory 119, No. 2, 210-241 (2006). Reviewer: Pieter Moree (Bonn) MSC: 11A07 11A15 11G20 11L10 PDFBibTeX XMLCite \textit{Z. Sun}, J. Number Theory 119, No. 2, 210--241 (2006; Zbl 1205.11009) Full Text: DOI
Nart, Enric; Ritzenthaler, Christophe Non-hyperelliptic curves of genus three over finite fields of characteristic two. (English) Zbl 1102.14019 J. Number Theory 116, No. 2, 443-473 (2006). Reviewer: Robert F. Lax (Baton Rouge) MSC: 14H25 14H10 14H45 14G15 11G20 11G10 PDFBibTeX XMLCite \textit{E. Nart} and \textit{C. Ritzenthaler}, J. Number Theory 116, No. 2, 443--473 (2006; Zbl 1102.14019) Full Text: DOI arXiv
Vaughan, R. C. A mean value theorem for cubic fields. (English) Zbl 1053.11082 J. Number Theory 100, No. 1, 169-183 (2003). Reviewer: Ekkehard Krätzel (Jena) MSC: 11P21 11R16 11M41 11R42 PDFBibTeX XMLCite \textit{R. C. Vaughan}, J. Number Theory 100, No. 1, 169--183 (2003; Zbl 1053.11082) Full Text: DOI
Buchholz, Ralph H. Triangles with three rational medians. (English) Zbl 1037.11020 J. Number Theory 97, No. 1, 113-131 (2002). Reviewer: Edward L. Cohen (Ottawa) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{R. H. Buchholz}, J. Number Theory 97, No. 1, 113--131 (2002; Zbl 1037.11020) Full Text: DOI
Deitmar, Anton Class numbers of orders in cubic fields. (English) Zbl 1052.11078 J. Number Theory 95, No. 2, 150-166 (2002). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R65 11R47 11R16 11R27 PDFBibTeX XMLCite \textit{A. Deitmar}, J. Number Theory 95, No. 2, 150--166 (2002; Zbl 1052.11078) Full Text: DOI arXiv
Girard, Martine Geometry of the group of Weierstrass points of a smooth quartic. (Géométrie du groupe des points de Weierstrass d’une quartique lisse.) (French) Zbl 1002.11054 J. Number Theory 94, No. 1, 103-135 (2002). Reviewer: D.Poulakis (Thessaloniki) MSC: 11G30 14H40 14H45 14H55 PDFBibTeX XMLCite \textit{M. Girard}, J. Number Theory 94, No. 1, 103--135 (2002; Zbl 1002.11054) Full Text: DOI
Kitaoka, Yoshiyuki Distribution of units of a cubic field with negative discriminant. (English) Zbl 1014.11067 J. Number Theory 91, No. 2, 318-355 (2001). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R27 11R16 PDFBibTeX XMLCite \textit{Y. Kitaoka}, J. Number Theory 91, No. 2, 318--355 (2001; Zbl 1014.11067) Full Text: DOI
Gaál, István; Pohst, Michael Computing power integral bases in quartic relative extensions. (English) Zbl 0993.11055 J. Number Theory 85, No. 2, 201-219 (2000). Reviewer: N.Tzanakis (Iraklion) MSC: 11R16 11R21 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{M. Pohst}, J. Number Theory 85, No. 2, 201--219 (2000; Zbl 0993.11055) Full Text: DOI Link
Cao, Zhenfu; Mu, Shanzhi; Dong, Xiaolei A new proof of a conjecture of Antoniadis. (English) Zbl 0958.11025 J. Number Theory 83, No. 2, 185-193 (2000). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 11D25 PDFBibTeX XMLCite \textit{Z. Cao} et al., J. Number Theory 83, No. 2, 185--193 (2000; Zbl 0958.11025) Full Text: DOI
Kishi, Yasuhiro A constructive approach to Spiegelung relations between 3-ranks of absolute ideal class groups and congruent ones modulo \((3)^2\) in quadratic fields. (English) Zbl 0967.11048 J. Number Theory 83, No. 1, 1-49 (2000). Reviewer: Florence Soriano-Gafiuk (Schweyen) MSC: 11R37 11R29 11R16 11R70 11R11 PDFBibTeX XMLCite \textit{Y. Kishi}, J. Number Theory 83, No. 1, 1--49 (2000; Zbl 0967.11048) Full Text: DOI
Buchholz, Ralph H.; MacDougall, James A. When Newton met Diophantus: a study of rational-derived polynomials and their extension to quadratic fields. (English) Zbl 1035.11009 J. Number Theory 81, No. 2, 210-233 (2000). Reviewer: Horst G. Zimmer (Saarbrücken) MSC: 11D25 11D41 11C08 14H52 11R09 14J25 14J27 11G30 14H40 11G05 PDFBibTeX XMLCite \textit{R. H. Buchholz} and \textit{J. A. MacDougall}, J. Number Theory 81, No. 2, 210--233 (2000; Zbl 1035.11009) Full Text: DOI Link
Yang, Hee-Sun; Kwon, Soun-Hi The non-normal quartic CM-fields and the octic dihedral CM-fields with relative class number two. (English) Zbl 0976.11051 J. Number Theory 79, No. 2, 175-193 (1999). Reviewer: Hideo Yokoi (Aichi) MSC: 11R29 11R21 PDFBibTeX XMLCite \textit{H.-S. Yang} and \textit{S.-H. Kwon}, J. Number Theory 79, No. 2, 175--193 (1999; Zbl 0976.11051)
Kable, Anthony C. Power bases in dihedral quartic fields. (English) Zbl 0934.11051 J. Number Theory 76, No. 1, 120-129 (1999). Reviewer: I.Gaál (Debrecen) MSC: 11R16 11R04 PDFBibTeX XMLCite \textit{A. C. Kable}, J. Number Theory 76, No. 1, 120--129 (1999; Zbl 0934.11051) Full Text: DOI
Grundman, H. G. Hilbert modular varieties of Galois quartic fields. (English) Zbl 0899.11021 J. Number Theory 63, No. 1, 47-58 (1997). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F41 14J20 14G05 14G35 PDFBibTeX XMLCite \textit{H. G. Grundman}, J. Number Theory 63, No. 1, 47--58 (1997; Zbl 0899.11021) Full Text: DOI
Bremner, A.; Stroeker, R. J.; Tzanakis, N. On sums of consecutive squares. (English) Zbl 0876.11024 J. Number Theory 62, No. 1, 39-70, NT972040 (1997). Reviewer: H.G.Zimmer (Saarbrücken) MSC: 11G05 11D25 14H52 11-04 PDFBibTeX XMLCite \textit{A. Bremner} et al., J. Number Theory 62, No. 1, 39--70, NT972040 (1997; Zbl 0876.11024) Full Text: DOI Link
Schneiders, Ursula Estimating the 2-rank of cubic fields by Selmer groups of elliptic curves. (English) Zbl 0870.11033 J. Number Theory 62, No. 2, 375-396 (1997). Reviewer: F.Lemmermeyer (Heidelberg) MSC: 11G05 11R16 11R29 11R37 PDFBibTeX XMLCite \textit{U. Schneiders}, J. Number Theory 62, No. 2, 375--396 (1997; Zbl 0870.11033) Full Text: DOI
Washington, Lawrence C. A family of cubic fields and zeros of 3-adic \(L\)-functions. (English) Zbl 0877.11054 J. Number Theory 63, No. 2, 408-417 (1997). Reviewer: T.Metsänkylä (Turku) MSC: 11R18 11R16 11R27 11R42 11S40 PDFBibTeX XMLCite \textit{L. C. Washington}, J. Number Theory 63, No. 2, 408--417 (1997; Zbl 0877.11054) Full Text: DOI
Adongo, Harun P. K. The diophantine equation \(3u^ 2-2=v^ 6\). (English) Zbl 0856.11018 J. Number Theory 59, No. 1, 203-208 (1996). Reviewer: E.L.Cohen (Ottawa) MSC: 11D41 11D25 PDFBibTeX XMLCite \textit{H. P. K. Adongo}, J. Number Theory 59, No. 1, 203--208 (1996; Zbl 0856.11018) Full Text: DOI
Nakamula, Ken Certain quartic fields with small regulators. (English) Zbl 0847.11057 J. Number Theory 57, No. 1, 1-21 (1996). Reviewer: C.Levesque (Quebec) MSC: 11R27 11R16 11R29 PDFBibTeX XMLCite \textit{K. Nakamula}, J. Number Theory 57, No. 1, 1--21 (1996; Zbl 0847.11057) Full Text: DOI
Khan, Mizan R. Computation of partial zeta values at \(s=0\) over a totally real cubic field. (English) Zbl 0847.11065 J. Number Theory 57, No. 2, 242-277 (1996). Reviewer: B.Z.Moroz (Bonn) MSC: 11Y40 11R42 11R80 11R16 PDFBibTeX XMLCite \textit{M. R. Khan}, J. Number Theory 57, No. 2, 242--277 (1996; Zbl 0847.11065) Full Text: DOI
Okazaki, Ryotaro An elementary proof for a theorem of Thomas and Vasquez. (English) Zbl 0853.11087 J. Number Theory 55, No. 2, 197-208 (1995). Reviewer: R.Mollin (Calgary) MSC: 11R27 11R16 11R42 11R29 PDFBibTeX XMLCite \textit{R. Okazaki}, J. Number Theory 55, No. 2, 197--208 (1995; Zbl 0853.11087) Full Text: DOI
Paysant-Le Roux, R. Sets of fundamental units in real quadratic and pure cubic fields. (Familles d’unités fondamentales dans les corps quadratiques réels et les corps cubiques purs.) (French) Zbl 0845.11039 J. Number Theory 55, No. 1, 68-81 (1995). Reviewer: C.Levesque (Quebec) MSC: 11R27 11R11 11R16 PDFBibTeX XMLCite \textit{R. Paysant-Le Roux}, J. Number Theory 55, No. 1, 68--81 (1995; Zbl 0845.11039) Full Text: DOI
Fleckinger, V.; Vérant, M. Families of non-Galois quartic fields. (English) Zbl 0852.11063 J. Number Theory 54, No. 2, 261-273 (1995). Reviewer: Timo Lepistö (Tampere) MSC: 11R16 11G05 11R04 11R27 PDFBibTeX XMLCite \textit{V. Fleckinger} and \textit{M. Vérant}, J. Number Theory 54, No. 2, 261--273 (1995; Zbl 0852.11063) Full Text: DOI
Gaál, István; Pethö, Attila; Pohst, Michael On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. (English) Zbl 0853.11026 J. Number Theory 53, No. 1, 100-114 (1995). Reviewer: J.-H.Evertse (Leiden) MSC: 11D99 11Y40 11R16 11R80 PDFBibTeX XMLCite \textit{I. Gaál} et al., J. Number Theory 53, No. 1, 100--114 (1995; Zbl 0853.11026) Full Text: DOI
Kühner, Josef On a family of generalized continued fraction expansions with periodic length going to infinity. (English) Zbl 0837.11005 J. Number Theory 53, No. 1, 1-12 (1995). Reviewer: C.Levesque (Quebec) MSC: 11A55 11R27 11R16 PDFBibTeX XMLCite \textit{J. Kühner}, J. Number Theory 53, No. 1, 1--12 (1995; Zbl 0837.11005) Full Text: DOI
Huard, James G.; Spearman, Blair K.; Williams, Kenneth S. Integral bases for quartic fields with quadratic subfields. (English) Zbl 0826.11048 J. Number Theory 51, No. 1, 87-102 (1995). Reviewer: H.Yokoi (Nagoya) MSC: 11R16 11R11 PDFBibTeX XMLCite \textit{J. G. Huard} et al., J. Number Theory 51, No. 1, 87--102 (1995; Zbl 0826.11048) Full Text: DOI
Bremner, Andrew; Jones, John W. On the equation \(x^ 4+mx^ 2y^ 2+y^ 4=z^ 2\). (English) Zbl 0822.11023 J. Number Theory 50, No. 2, 286-298 (1995). Reviewer: D.Poulakis (Thessaloniki) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{J. W. Jones}, J. Number Theory 50, No. 2, 286--298 (1995; Zbl 0822.11023) Full Text: DOI
Grundman, H. G. Systems of fundamental units in cubic orders. (English) Zbl 0828.11061 J. Number Theory 50, No. 1, 119-127 (1995). Reviewer: C.Levesque (Quebec) MSC: 11R27 11R16 PDFBibTeX XMLCite \textit{H. G. Grundman}, J. Number Theory 50, No. 1, 119--127 (1995; Zbl 0828.11061) Full Text: DOI
Louboutin, Stéphane The exponent 2-class-group problem for non-Galois over \(\mathbb{Q}\) quartic fields that are quadratic extensions of imaginary quadratic fields. (English) Zbl 0811.11066 J. Number Theory 49, No. 2, 133-141 (1994). Reviewer: K.S.Williams (Ottawa) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{S. Louboutin}, J. Number Theory 49, No. 2, 133--141 (1994; Zbl 0811.11066) Full Text: DOI
Del Corso, Ilaria; Dvornicich, Roberto A converse of Artin’s density theorem: The case of cubic fields. (English) Zbl 0779.11047 J. Number Theory 45, No. 1, 28-44 (1993). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R16 11R45 PDFBibTeX XMLCite \textit{I. Del Corso} and \textit{R. Dvornicich}, J. Number Theory 45, No. 1, 28--44 (1993; Zbl 0779.11047) Full Text: DOI
Mignotte, M.; Tzanakis, N. Corrigendum and addendum: On a family of cubics. (English) Zbl 0763.11011 J. Number Theory 41, No. 1, 128 (1992). MSC: 11D25 11R16 11R27 PDFBibTeX XMLCite \textit{M. Mignotte} and \textit{N. Tzanakis}, J. Number Theory 41, No. 1, 128 (1992; Zbl 0763.11011) Full Text: DOI
Parnami, J. C.; Agrawal, M. K.; Rajwade, A. R. On the stufe of quartic fields. (English) Zbl 0724.11051 J. Number Theory 38, No. 1, 106-109 (1991). Reviewer: A.Sładek (Katowice) MSC: 11R16 11E12 PDFBibTeX XMLCite \textit{J. C. Parnami} et al., J. Number Theory 38, No. 1, 106--109 (1991; Zbl 0724.11051) Full Text: DOI
Grundman, H. G. The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields. (English) Zbl 0715.11023 J. Number Theory 37, No. 3, 343-365 (1991). Reviewer: F.W.Knoeller MSC: 11F41 11R16 14J30 11R29 11R80 11R42 14G35 PDFBibTeX XMLCite \textit{H. G. Grundman}, J. Number Theory 37, No. 3, 343--365 (1991; Zbl 0715.11023) Full Text: DOI
Ayad, Mohamed Points \(\Delta\)-entiers sur les courbes elliptiques. (\(\Delta\)-integer points on elliptic curves). (French) Zbl 0736.11028 J. Number Theory 38, No. 3, 323-337 (1991). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G05 11D25 14H52 PDFBibTeX XMLCite \textit{M. Ayad}, J. Number Theory 38, No. 3, 323--337 (1991; Zbl 0736.11028) Full Text: DOI
Kuwata, Masato The canonical height and elliptic surfaces. (English) Zbl 0741.14008 J. Number Theory 36, No. 2, 201-211 (1990). Reviewer: H.Maeda (Tokyo) MSC: 14G05 14J27 11D25 14G40 11G05 PDFBibTeX XMLCite \textit{M. Kuwata}, J. Number Theory 36, No. 2, 201--211 (1990; Zbl 0741.14008) Full Text: DOI
Fung, G. W.; Ströher, H.; Williams, H. C.; Zimmer, H. G. Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. (English) Zbl 0734.14014 J. Number Theory 36, No. 1, 12-45 (1990). MSC: 14H52 14Q05 11R16 14G25 PDFBibTeX XMLCite \textit{G. W. Fung} et al., J. Number Theory 36, No. 1, 12--45 (1990; Zbl 0734.14014) Full Text: DOI
Halbritter, U.; Pohst, M. On the computation of the values of zeta functions of totally real cubic fields. (English) Zbl 0727.11050 J. Number Theory 36, No. 3, 266-288 (1990). Reviewer: J.Hinz (Marburg) MSC: 11R42 11R16 11Y40 11R80 11-04 PDFBibTeX XMLCite \textit{U. Halbritter} and \textit{M. Pohst}, J. Number Theory 36, No. 3, 266--288 (1990; Zbl 0727.11050) Full Text: DOI
Kraft, James S. Iwasawa invariants of CM fields. (English) Zbl 0697.12004 J. Number Theory 32, No. 1, 65-77 (1989). Reviewer: J.-F.Jaulent MSC: 11R18 11R23 14K22 11R16 PDFBibTeX XMLCite \textit{J. S. Kraft}, J. Number Theory 32, No. 1, 65--77 (1989; Zbl 0697.12004) Full Text: DOI
Mohanty, S. P. Integer points of \(y^2=x^3-4x+1\). (English) Zbl 0651.10011 J. Number Theory 30, No. 1, 86-93 (1988). Reviewer: Roelof J. Stroeker (Rotterdam) MSC: 11D25 11G05 11R16 PDFBibTeX XMLCite \textit{S. P. Mohanty}, J. Number Theory 30, No. 1, 86--93 (1988; Zbl 0651.10011) Full Text: DOI
Buchmann, Johannes On the computation of units and class numbers by a generalization of Lagrange’s algorithm. (English) Zbl 0615.12001 J. Number Theory 26, 8-30 (1987). Reviewer: C.Levesque MSC: 12-04 11J70 11R23 11R27 11R52 11R16 PDFBibTeX XMLCite \textit{J. Buchmann}, J. Number Theory 26, 8--30 (1987; Zbl 0615.12001) Full Text: DOI
Diaz y Diaz, Francisco Petits discriminants des corps de nombres totalement imaginaires de degré 8. (Small discriminants of totally imaginary eight-degree number fields). (French) Zbl 0606.12005 J. Number Theory 25, 34-52 (1987). Reviewer: H.J.Godwin MSC: 11R23 11R21 PDFBibTeX XMLCite \textit{F. Diaz y Diaz}, J. Number Theory 25, 34--52 (1987; Zbl 0606.12005) Full Text: DOI