Matschke, Benjamin; Mudigonda, Abhijit S. Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere. (English) Zbl 07662019 J. Number Theory 247, 162-210 (2023). Reviewer: José María Tornero (Sevilla) MSC: 11G05 PDFBibTeX XMLCite \textit{B. Matschke} and \textit{A. S. Mudigonda}, J. Number Theory 247, 162--210 (2023; Zbl 07662019) Full Text: DOI arXiv
Rojas, J. Maurice; Zhu, Yuyu Root repulsion and faster solving for very sparse polynomials over \(p\)-adic fields. (English) Zbl 1498.11241 J. Number Theory 241, 655-699 (2022). MSC: 11Y16 11S05 PDFBibTeX XMLCite \textit{J. M. Rojas} and \textit{Y. Zhu}, J. Number Theory 241, 655--699 (2022; Zbl 1498.11241) Full Text: DOI arXiv
Jakhar, Anuj Explicit integral basis of \(\mathbb{Q}(\sqrt[p_1 p_2]{a})\). (English) Zbl 1504.11114 J. Number Theory 240, 254-271 (2022). Reviewer: Wolfgang A. Schmid (Paris) MSC: 11R04 11R29 PDFBibTeX XMLCite \textit{A. Jakhar}, J. Number Theory 240, 254--271 (2022; Zbl 1504.11114) Full Text: DOI
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
Rapinchuk, Andrei S.; Rapinchuk, Igor A. Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields. (English) Zbl 1489.11059 J. Number Theory 233, 228-260 (2022). MSC: 11E72 14F20 14L15 11R34 14G40 20G15 PDFBibTeX XMLCite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, J. Number Theory 233, 228--260 (2022; Zbl 1489.11059) Full Text: DOI arXiv
Del Corso, Ilaria; Ferri, Fabio; Lombardo, Davide How far is an extension of \(p\)-adic fields from having a normal integral basis? (English) Zbl 1487.11104 J. Number Theory 233, 158-197 (2022). Reviewer: Günter Lettl (Graz) MSC: 11R33 11R04 PDFBibTeX XMLCite \textit{I. Del Corso} et al., J. Number Theory 233, 158--197 (2022; Zbl 1487.11104) Full Text: DOI arXiv
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
Hwang, WonTae; Song, Kyunghwan Absolutely simple polarized abelian varieties of odd Sophie Germain prime dimension over finite fields with maximal automorphism groups. (English) Zbl 1469.11181 J. Number Theory 222, 262-277 (2021). MSC: 11G10 11G25 14K02 20B25 11N05 PDFBibTeX XMLCite \textit{W. Hwang} and \textit{K. Song}, J. Number Theory 222, 262--277 (2021; Zbl 1469.11181) Full Text: DOI arXiv
Scholl, Travis Super-isolated abelian varieties. (English) Zbl 1476.11134 J. Number Theory 206, 138-168 (2020). Reviewer: Tony Ezome (Libreville) MSC: 11R04 14K02 11Y40 PDFBibTeX XMLCite \textit{T. Scholl}, J. Number Theory 206, 138--168 (2020; Zbl 1476.11134) 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
Hayashida, Daiki The characteristic polynomials of abelian varieties of higher dimension over finite fields. (English) Zbl 1454.11120 J. Number Theory 196, 205-222 (2019). MSC: 11G25 14K22 PDFBibTeX XMLCite \textit{D. Hayashida}, J. Number Theory 196, 205--222 (2019; Zbl 1454.11120) Full Text: DOI arXiv
Li, Wanlin Vanishing of hyperelliptic \(L\)-functions at the central point. (English) Zbl 1444.11231 J. Number Theory 191, 85-103 (2018). MSC: 11R59 11G20 PDFBibTeX XMLCite \textit{W. Li}, J. Number Theory 191, 85--103 (2018; Zbl 1444.11231) Full Text: DOI arXiv
Iizuka, Yoshichika On the class number divisibility of pairs of imaginary quadratic fields. (English) Zbl 1420.11138 J. Number Theory 184, 122-127 (2018). MSC: 11R29 11R11 PDFBibTeX XMLCite \textit{Y. Iizuka}, J. Number Theory 184, 122--127 (2018; Zbl 1420.11138) Full Text: DOI
Kishi, Yasuhiro; Komatsu, Toru Imaginary quadratic fields whose ideal class groups have 3-rank at least three. (English) Zbl 1411.11098 J. Number Theory 170, 46-54 (2017). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R11 11R29 PDFBibTeX XMLCite \textit{Y. Kishi} and \textit{T. Komatsu}, J. Number Theory 170, 46--54 (2017; Zbl 1411.11098) Full Text: DOI
Bauch, Jens-Dietrich Computation of integral bases. (English) Zbl 1349.13041 J. Number Theory 165, 382-407 (2016). Reviewer: Mihai Cipu (Bucureşti) MSC: 13F05 13P10 11R04 PDFBibTeX XMLCite \textit{J.-D. Bauch}, J. Number Theory 165, 382--407 (2016; Zbl 1349.13041) Full Text: DOI arXiv
Clemm, Amanda; Trebat-Leder, Sarah Elliptic curves with everywhere good reduction. (English) Zbl 1335.11041 J. Number Theory 161, 135-145 (2016). Reviewer: Andrej Dujella (Zagreb) MSC: 11G05 PDFBibTeX XMLCite \textit{A. Clemm} and \textit{S. Trebat-Leder}, J. Number Theory 161, 135--145 (2016; Zbl 1335.11041) Full Text: DOI arXiv
Ahmadi, Omran; McGuire, Gary; Rojas-León, Antonio Decomposing Jacobians of curves over finite fields in the absence of algebraic structure. (English) Zbl 1329.14054 J. Number Theory 156, 414-431 (2015). Reviewer: B. Z. Moroz (Bonn) MSC: 14G15 11G20 11M38 14G10 05A15 14H45 PDFBibTeX XMLCite \textit{O. Ahmadi} et al., J. Number Theory 156, 414--431 (2015; Zbl 1329.14054) Full Text: DOI arXiv
Guàrdia, Jordi; Montes, Jesús; Nart, Enric Higher Newton polygons and integral bases. (English) Zbl 1394.11071 J. Number Theory 147, 549-589 (2015). MSC: 11R04 11Y40 14G15 14H05 PDFBibTeX XMLCite \textit{J. Guàrdia} et al., J. Number Theory 147, 549--589 (2015; Zbl 1394.11071) Full Text: DOI
Bitan, Rony A. The discriminant of an algebraic torus. (English) Zbl 1235.11064 J. Number Theory 131, No. 9, 1657-1671 (2011). Reviewer: Cristian D. Gonzales-Aviles (La Serena) MSC: 11G35 11G10 11R33 14G25 PDFBibTeX XMLCite \textit{R. A. Bitan}, J. Number Theory 131, No. 9, 1657--1671 (2011; Zbl 1235.11064) Full Text: DOI arXiv
Freeman, David Mandell; Satoh, Takakazu Constructing pairing-friendly hyperelliptic curves using Weil restriction. (English) Zbl 1245.11075 J. Number Theory 131, No. 5, 959-983 (2011). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11G20 14G15 14G50 94A60 PDFBibTeX XMLCite \textit{D. M. Freeman} and \textit{T. Satoh}, J. Number Theory 131, No. 5, 959--983 (2011; Zbl 1245.11075) Full Text: DOI
Lauter, Kristin; Yang, Tonghai Computing genus 2 curves from invariants on the Hilbert moduli space. (English) Zbl 1225.11084 J. Number Theory 131, No. 5, 936-958 (2011). Reviewer: Jannis A. Antoniadis (Iraklion) MSC: 11G15 11F41 14K22 PDFBibTeX XMLCite \textit{K. Lauter} and \textit{T. Yang}, J. Number Theory 131, No. 5, 936--958 (2011; Zbl 1225.11084) Full Text: DOI
O’Connor, Laura Hitt; McGuire, Gary; Naehrig, Michael; Streng, Marco A CM construction for curves of genus 2 with \(p\)-rank 1. (English) Zbl 1218.11060 J. Number Theory 131, No. 5, 920-935 (2011). Reviewer: Enric Nart Viñals (Barcelona) MSC: 11G10 11G20 11T71 94A60 PDFBibTeX XMLCite \textit{L. H. O'Connor} et al., J. Number Theory 131, No. 5, 920--935 (2011; Zbl 1218.11060) Full Text: DOI arXiv
Haloui, Safia The characteristic polynomials of Abelian varieties of dimensions 3 over finite fields. (English) Zbl 1200.14045 J. Number Theory 130, No. 12, 2745-2752 (2010). Reviewer: Enric Nart Viñals (Barcelona) MSC: 14G15 11G10 11G25 11C08 PDFBibTeX XMLCite \textit{S. Haloui}, J. Number Theory 130, No. 12, 2745--2752 (2010; Zbl 1200.14045) Full Text: DOI arXiv
Petras, Oliver Functional equations of the dilogarithm in motivic cohomology. (English) Zbl 1257.11064 J. Number Theory 129, No. 10, 2346-2368 (2009). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G55 11R70 14F42 19E15 11S70 PDFBibTeX XMLCite \textit{O. Petras}, J. Number Theory 129, No. 10, 2346--2368 (2009; Zbl 1257.11064) Full Text: DOI arXiv
Bensebaa, B.; Movahhedi, A.; Salinier, A. The Galois group of \(X^p+aX^{p - 1}+a\). (English) Zbl 1195.11147 J. Number Theory 129, No. 4, 824-830 (2009). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R32 12F10 PDFBibTeX XMLCite \textit{B. Bensebaa} et al., J. Number Theory 129, No. 4, 824--830 (2009; Zbl 1195.11147) Full Text: DOI
Luca, Florian; Pacelli, Allison M. Class groups of quadratic fields of 3-rank at least 2: effective bounds. (English) Zbl 1167.11038 J. Number Theory 128, No. 4, 796-804 (2008). Reviewer: Richard A. Mollin (Calgary) MSC: 11R29 11R11 PDFBibTeX XMLCite \textit{F. Luca} and \textit{A. M. Pacelli}, J. Number Theory 128, No. 4, 796--804 (2008; Zbl 1167.11038) 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
Del Corso, Ilaria; Dvornicich, Roberto An equivalence between local fields. (English) Zbl 1159.11321 J. Number Theory 115, No. 2, 230-248 (2005). MSC: 11R04 11S15 11S20 PDFBibTeX XMLCite \textit{I. Del Corso} and \textit{R. Dvornicich}, J. Number Theory 115, No. 2, 230--248 (2005; Zbl 1159.11321) Full Text: DOI
Plans, Bernat; Vila, Núria Trinomial extensions of \(\mathbb Q\) with ramification conditions. (English) Zbl 1048.11086 J. Number Theory 105, No. 2, 387-400 (2004). Reviewer: Richard Massy (Valenciennes) MSC: 11R32 12F10 12F12 PDFBibTeX XMLCite \textit{B. Plans} and \textit{N. Vila}, J. Number Theory 105, No. 2, 387--400 (2004; Zbl 1048.11086) Full Text: DOI
Kishi, Yasuhiro A family of cyclic cubic polynomials whose roots are systems of fundamental units. (English) Zbl 1034.11060 J. Number Theory 102, No. 1, 90-106 (2003); erratum ibid. 103, No. 1, 132-133 (2003). (2003). Reviewer: Veikko Ennola (Turku) MSC: 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{Y. Kishi}, J. Number Theory 102, No. 1, 90--106 (2003); erratum ibid. 103, No. 1, 132--133 (2003). (2003; Zbl 1034.11060) Full Text: DOI
Hermez, Alain; Salinier, Alain Rational trinomials with the alternating group as Galois group. (English) Zbl 0990.12004 J. Number Theory 90, No. 1, 113-129 (2001). Reviewer: M.Epkenhans (Paderborn) MSC: 12F12 PDFBibTeX XMLCite \textit{A. Hermez} and \textit{A. Salinier}, J. Number Theory 90, No. 1, 113--129 (2001; Zbl 0990.12004) 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
Kishi, Yasuhiro; Miyake, Katsuya Parametrization of the quadratic fields whose class numbers are divisible by three. (English) Zbl 0976.11050 J. Number Theory 80, No. 2, 209-217 (2000). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R29 11R11 PDFBibTeX XMLCite \textit{Y. Kishi} and \textit{K. Miyake}, J. Number Theory 80, No. 2, 209--217 (2000; Zbl 0976.11050) Full Text: DOI
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
Arenas, A.; Bayer, P. Arithmetic behaviour of the sums of three squares. (English) Zbl 0623.10035 J. Number Theory 27, 273-284 (1987). Reviewer: James L. Hafner (San José) MSC: 11P05 11R32 11E12 11F11 11E45 PDFBibTeX XMLCite \textit{A. Arenas} and \textit{P. Bayer}, J. Number Theory 27, 273--284 (1987; Zbl 0623.10035) Full Text: DOI
Osada, Hiroyuki The Galois groups of the polynomials \(X^ n+aX\ell +b\). (English) Zbl 0608.12010 J. Number Theory 25, 230-238 (1987). Reviewer: N.Vila MSC: 11R32 PDFBibTeX XMLCite \textit{H. Osada}, J. Number Theory 25, 230--238 (1987; Zbl 0608.12010) Full Text: DOI