Bajpai, Prajeet; Bennett, Michael A.; Chan, Tsz Ho Arithmetic progressions in squarefull numbers. (English) Zbl 07785369 Int. J. Number Theory 20, No. 1, 19-45 (2024). MSC: 11D25 11G05 11J70 PDFBibTeX XMLCite \textit{P. Bajpai} et al., Int. J. Number Theory 20, No. 1, 19--45 (2024; Zbl 07785369) Full Text: DOI arXiv
Nguyen Xuan Tho Points on \(x^4 + y^4 + z^4 = 0\) over algebraic extensions of \(\mathbb{Q}(i)\). (English) Zbl 1523.11059 Int. J. Number Theory 19, No. 4, 829-842 (2023). MSC: 11D25 11R16 PDFBibTeX XMLCite \textit{Nguyen Xuan Tho}, Int. J. Number Theory 19, No. 4, 829--842 (2023; Zbl 1523.11059) Full Text: DOI
Capuñay, Alex Shintani cones for complex cubic number fields. (English) Zbl 1514.11068 Int. J. Number Theory 19, No. 3, 467-479 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R16 11R27 PDFBibTeX XMLCite \textit{A. Capuñay}, Int. J. Number Theory 19, No. 3, 467--479 (2023; Zbl 1514.11068) Full Text: DOI
Li, Yangcheng; Zhang, Yong On an elliptic curve involving pairs of triangles and special quadrilaterals. (English) Zbl 1491.11033 Int. J. Number Theory 18, No. 7, 1517-1533 (2022). MSC: 11D25 11D72 11G05 51M25 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Zhang}, Int. J. Number Theory 18, No. 7, 1517--1533 (2022; Zbl 1491.11033) Full Text: DOI
Gillibert, Jean; Gillibert, Pierre Galois covers of \(\mathbb P^1\) and number fields with large class groups. (English) Zbl 1502.11112 Int. J. Number Theory 18, No. 6, 1261-1288 (2022). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{J. Gillibert} and \textit{P. Gillibert}, Int. J. Number Theory 18, No. 6, 1261--1288 (2022; Zbl 1502.11112) Full Text: DOI arXiv
Bellah, Elisa Norm form equations and linear divisibility sequences. (English) Zbl 1497.11079 Int. J. Number Theory 18, No. 6, 1239-1259 (2022). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D57 11D25 11B39 PDFBibTeX XMLCite \textit{E. Bellah}, Int. J. Number Theory 18, No. 6, 1239--1259 (2022; Zbl 1497.11079) Full Text: DOI arXiv
Panraksa, Chatchawan Rational periodic points of \(x^d+c\) and Fermat-Catalan equations. (English) Zbl 1506.37121 Int. J. Number Theory 18, No. 5, 1111-1129 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 37P35 37P15 37P05 11C08 11D25 PDFBibTeX XMLCite \textit{C. Panraksa}, Int. J. Number Theory 18, No. 5, 1111--1129 (2022; Zbl 1506.37121) Full Text: DOI arXiv
Ben Yakkou, Hamid; El Fadil, Lhoussain On monogenity of certain pure number fields defined by \(x^{p^r}-m\). (English) Zbl 1483.11236 Int. J. Number Theory 17, No. 10, 2235-2242 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{H. Ben Yakkou} and \textit{L. El Fadil}, Int. J. Number Theory 17, No. 10, 2235--2242 (2021; Zbl 1483.11236) Full Text: DOI arXiv
Karemaker, Valentijn; Marques, Sophie; Sijsling, Jeroen Cubic function fields with prescribed ramification. (English) Zbl 1491.11100 Int. J. Number Theory 17, No. 9, 2019-2053 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R16 11R58 11R11 14H05 14H10 PDFBibTeX XMLCite \textit{V. Karemaker} et al., Int. J. Number Theory 17, No. 9, 2019--2053 (2021; Zbl 1491.11100) Full Text: DOI arXiv
Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek On a conjecture of Lemmermeyer. (English) Zbl 1481.11106 Int. J. Number Theory 16, No. 7, 1407-1424 (2020). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Int. J. Number Theory 16, No. 7, 1407--1424 (2020; Zbl 1481.11106) Full Text: DOI arXiv
Ishitsuka, Yasuhiro; Ito, Tetsushi; Ohshita, Tatsuya Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic. (English) Zbl 1491.11065 Int. J. Number Theory 16, No. 4, 881-905 (2020). MSC: 11G25 11D41 11F80 11G10 14H50 14K15 14K30 PDFBibTeX XMLCite \textit{Y. Ishitsuka} et al., Int. J. Number Theory 16, No. 4, 881--905 (2020; Zbl 1491.11065) Full Text: DOI arXiv
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). (English) Zbl 1479.11185 Int. J. Number Theory 15, No. 7, 1437-1447 (2019). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Int. J. Number Theory 15, No. 7, 1437--1447 (2019; Zbl 1479.11185) Full Text: DOI arXiv
Rome, Nick A positive proportion of Hasse principle failures in a family of Châtelet surfaces. (English) Zbl 1435.14023 Int. J. Number Theory 15, No. 6, 1237-1249 (2019). MSC: 14G12 14G05 11G35 11D25 PDFBibTeX XMLCite \textit{N. Rome}, Int. J. Number Theory 15, No. 6, 1237--1249 (2019; Zbl 1435.14023) Full Text: DOI arXiv
Elsenhans, Andreas-Stephan; Jahnel, Jörg Plane quartics with a Galois-invariant Steiner hexad. (English) Zbl 1428.14047 Int. J. Number Theory 15, No. 5, 1075-1109 (2019). Reviewer: David McKinnon (Waterloo) MSC: 14H25 14J20 14J45 11G35 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, Int. J. Number Theory 15, No. 5, 1075--1109 (2019; Zbl 1428.14047) Full Text: DOI arXiv
Gaál, István; Jadrijević, Borka; Remete, László Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields. (English) Zbl 1479.11054 Int. J. Number Theory 15, No. 1, 11-27 (2019). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11D59 11D57 PDFBibTeX XMLCite \textit{I. Gaál} et al., Int. J. Number Theory 15, No. 1, 11--27 (2019; Zbl 1479.11054) Full Text: DOI arXiv
Lorenzo García, Elisa Twists of non-hyperelliptic curves of genus \(3\). (English) Zbl 1404.11092 Int. J. Number Theory 14, No. 6, 1785-1812 (2018). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 14H10 14H45 14H50 PDFBibTeX XMLCite \textit{E. Lorenzo García}, Int. J. Number Theory 14, No. 6, 1785--1812 (2018; Zbl 1404.11092) Full Text: DOI arXiv
Bremner, Andrew; Nguyen Xuan Tho The equation \((w+x+y+z)(1/w+1/x+1/y+1/z) = n\). (English) Zbl 1428.11057 Int. J. Number Theory 14, No. 5, 1229-1246 (2018). MSC: 11D25 11G05 11D85 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Int. J. Number Theory 14, No. 5, 1229--1246 (2018; Zbl 1428.11057) Full Text: DOI Backlinks: MO
Heath-Brown, D. R. Rational points on the intersection of three quadrics. (English) Zbl 1373.14023 Int. J. Number Theory 13, No. 2, 273-289 (2017). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G05 11D25 14G20 14J20 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Int. J. Number Theory 13, No. 2, 273--289 (2017; Zbl 1373.14023) Full Text: DOI arXiv
Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed; Derhem, Aïssa; Mayer, Daniel C. The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\). (English) Zbl 1406.11111 Int. J. Number Theory 12, No. 7, 1951-1986 (2016). MSC: 11R37 11R29 11R11 11R16 11R20 20D30 PDFBibTeX XMLCite \textit{A. Azizi} et al., Int. J. Number Theory 12, No. 7, 1951--1986 (2016; Zbl 1406.11111) Full Text: DOI
Hsu, Catherine Two classes of number fields with a non-principal Euclidean ideal. (English) Zbl 1415.11159 Int. J. Number Theory 12, No. 4, 1123-1136 (2016). MSC: 11R29 11R16 11R80 PDFBibTeX XMLCite \textit{C. Hsu}, Int. J. Number Theory 12, No. 4, 1123--1136 (2016; Zbl 1415.11159) Full Text: DOI arXiv
Aoki, Miho; Kishi, Yasuhiro On systems of fundamental units of certain quartic fields. (English) Zbl 1331.11099 Int. J. Number Theory 11, No. 7, 2019-2035 (2015). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R27 11R16 11R29 PDFBibTeX XMLCite \textit{M. Aoki} and \textit{Y. Kishi}, Int. J. Number Theory 11, No. 7, 2019--2035 (2015; Zbl 1331.11099) Full Text: DOI
Lynch, Rodney; Morton, Patrick The quartic Fermat equation in Hilbert class fields of imaginary quadratic fields. (English) Zbl 1390.11064 Int. J. Number Theory 11, No. 6, 1961-2017 (2015). MSC: 11D25 11D41 11G15 11G05 PDFBibTeX XMLCite \textit{R. Lynch} and \textit{P. Morton}, Int. J. Number Theory 11, No. 6, 1961--2017 (2015; Zbl 1390.11064) Full Text: arXiv
Jacobson, M. J. jun.; Lee, Y.; Scheidler, R.; Williams, H. C. Construction of all cubic function fields of a given square-free discriminant. (English) Zbl 1390.11134 Int. J. Number Theory 11, No. 6, 1839-1885 (2015). MSC: 11Y40 11R58 11R16 11R11 PDFBibTeX XMLCite \textit{M. J. Jacobson jun.} et al., Int. J. Number Theory 11, No. 6, 1839--1885 (2015; Zbl 1390.11134) Full Text: DOI
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed; Mayer, Daniel C. Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields \(\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\). (English) Zbl 1319.11079 Int. J. Number Theory 11, No. 4, 1177-1215 (2015). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R37 11R16 11R29 11R32 PDFBibTeX XMLCite \textit{A. Azizi} et al., Int. J. Number Theory 11, No. 4, 1177--1215 (2015; Zbl 1319.11079) Full Text: DOI arXiv
Ahmad, Shahzad; Nakahara, Toru; Husnine, Syed Muhammad Power integral bases for certain pure sextic fields. (English) Zbl 1316.11094 Int. J. Number Theory 10, No. 8, 2257-2265 (2014). Reviewer: James E. Carter (Charleston) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{S. Ahmad} et al., Int. J. Number Theory 10, No. 8, 2257--2265 (2014; Zbl 1316.11094) Full Text: DOI
Rubinstein-Salzedo, Simon Invariants for \(A_{4}\) fields and the Cohen-Lenstra heuristics. (English) Zbl 1300.11106 Int. J. Number Theory 10, No. 5, 1259-1276 (2014). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R29 11R37 11Y40 PDFBibTeX XMLCite \textit{S. Rubinstein-Salzedo}, Int. J. Number Theory 10, No. 5, 1259--1276 (2014; Zbl 1300.11106) Full Text: DOI arXiv
Mukhamedov, Farrukh; Omirov, Bakhrom; Saburov, Mansoor On cubic equations over \(p\)-adic fields. (English) Zbl 1307.11124 Int. J. Number Theory 10, No. 5, 1171-1190 (2014). Reviewer: Manabu Yoshida (Kumamoto) MSC: 11S05 11D25 11D88 12E10 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., Int. J. Number Theory 10, No. 5, 1171--1190 (2014; Zbl 1307.11124) Full Text: DOI arXiv
Taniguchi, Takashi; Thorne, Frank An error estimate for counting \(S_{3}\)-sextic number fields. (English) Zbl 1300.11107 Int. J. Number Theory 10, No. 4, 935-948 (2014). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 11R21 11M41 PDFBibTeX XMLCite \textit{T. Taniguchi} and \textit{F. Thorne}, Int. J. Number Theory 10, No. 4, 935--948 (2014; Zbl 1300.11107) Full Text: DOI arXiv
Bennett, Michael A. Integral points on congruent number curves. (English) Zbl 1318.11047 Int. J. Number Theory 9, No. 6, 1619-1640 (2013). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{M. A. Bennett}, Int. J. Number Theory 9, No. 6, 1619--1640 (2013; Zbl 1318.11047) Full Text: DOI
Mantilla-Soler, Guillermo On number fields with equivalent integral trace forms. (English) Zbl 1263.11099 Int. J. Number Theory 8, No. 7, 1569-1580 (2012). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{G. Mantilla-Soler}, Int. J. Number Theory 8, No. 7, 1569--1580 (2012; Zbl 1263.11099) Full Text: DOI arXiv
Lezowski, Pierre Examples of norm-Euclidean ideal classes. (English) Zbl 1290.11159 Int. J. Number Theory 8, No. 5, 1315-1333 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11Y40 11R16 11R29 13F07 PDFBibTeX XMLCite \textit{P. Lezowski}, Int. J. Number Theory 8, No. 5, 1315--1333 (2012; Zbl 1290.11159) Full Text: DOI
Najman, Filip Exceptional elliptic curves over quartic fields. (English) Zbl 1295.11064 Int. J. Number Theory 8, No. 5, 1231-1246 (2012). MSC: 11G05 11G18 11R16 14G25 14H52 PDFBibTeX XMLCite \textit{F. Najman}, Int. J. Number Theory 8, No. 5, 1231--1246 (2012; Zbl 1295.11064) Full Text: DOI arXiv
McGown, Kevin J. Norm-Euclidean cyclic fields of prime degree. (English) Zbl 1290.11147 Int. J. Number Theory 8, No. 1, 227-254 (2012). MSC: 11R16 11L40 11R32 11R80 11Y40 PDFBibTeX XMLCite \textit{K. J. McGown}, Int. J. Number Theory 8, No. 1, 227--254 (2012; Zbl 1290.11147) Full Text: DOI arXiv
Reznick, Bruce; Rouse, Jeremy On the sums of two cubes. (English) Zbl 1269.11032 Int. J. Number Theory 7, No. 7, 1863-1882 (2011). Reviewer: Filip Najman (Zagreb) MSC: 11D25 11G05 14J27 PDFBibTeX XMLCite \textit{B. Reznick} and \textit{J. Rouse}, Int. J. Number Theory 7, No. 7, 1863--1882 (2011; Zbl 1269.11032) Full Text: DOI arXiv
Elsenhans, Andreas-Stephan; Jahnel, Jörg Cubic surfaces with a Galois invariant pair of Steiner trihedra. (English) Zbl 1233.11073 Int. J. Number Theory 7, No. 4, 947-970 (2011). Reviewer: Remke Kloosterman (Berlin) MSC: 11G35 11D25 14G25 14J25 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, Int. J. Number Theory 7, No. 4, 947--970 (2011; Zbl 1233.11073) Full Text: DOI arXiv
Draziotis, Konstantinos A. On the number of integer points on the elliptic curve \(y^2 = x^3 + Ax\). (English) Zbl 1238.11037 Int. J. Number Theory 7, No. 3, 611-621 (2011). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11G05 11D45 PDFBibTeX XMLCite \textit{K. A. Draziotis}, Int. J. Number Theory 7, No. 3, 611--621 (2011; Zbl 1238.11037) Full Text: DOI
Belabas, Karim; Fouvry, Étienne Cubic discriminants and arithmetic progressions. (Discriminants cubiques et progressions arithmétiques.) (English) Zbl 1225.11139 Int. J. Number Theory 6, No. 7, 1491-1529 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11R29 11R16 11R45 PDFBibTeX XMLCite \textit{K. Belabas} and \textit{É. Fouvry}, Int. J. Number Theory 6, No. 7, 1491--1529 (2010; Zbl 1225.11139) Full Text: DOI
Ulas, Maciej Variations on higher twists of pairs of elliptic curves. (English) Zbl 1201.11060 Int. J. Number Theory 6, No. 5, 1183-1189 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{M. Ulas}, Int. J. Number Theory 6, No. 5, 1183--1189 (2010; Zbl 1201.11060) Full Text: DOI
Zhao, Yusheng; Li, Wei; Zhang, Xianke Effective determination of prime decompositions of cubic function fields. (English) Zbl 1219.11176 Int. J. Number Theory 6, No. 2, 437-448 (2010). Reviewer: Paul Buckingham (Edmonton) MSC: 11R58 11R16 11R27 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Int. J. Number Theory 6, No. 2, 437--448 (2010; Zbl 1219.11176) Full Text: DOI
Kozuma, Rintaro Elliptic curves related to cyclic cubic extensions. (English) Zbl 1196.11078 Int. J. Number Theory 5, No. 4, 591-623 (2009). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11R16 11G07 PDFBibTeX XMLCite \textit{R. Kozuma}, Int. J. Number Theory 5, No. 4, 591--623 (2009; Zbl 1196.11078) Full Text: DOI arXiv