Azizi, Abdelmalek; Talbi, Mohammed; Talbi, Mohamed On the Hilbert tower of certain fields. (Sur la tour de Hilbert de certains corps.) (French. English summary) Zbl 1415.11168 Bol. Soc. Parana. Mat. (3) 34, No. 2, 107-112 (2016). MSC: 11R37 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Bol. Soc. Parana. Mat. (3) 34, No. 2, 107--112 (2016; Zbl 1415.11168) Full Text: Link
Astapov, N. S.; Astapov, I. S. Comparative analysis of solutions to 3rd and 4th order algebraic equations. (Russian. English summary) Zbl 1399.12003 Sib. Zh. Chist. Prikl. Mat. 16, No. 1, 14-28 (2016). MSC: 12E12 12Y05 PDFBibTeX XMLCite \textit{N. S. Astapov} and \textit{I. S. Astapov}, Sib. Zh. Chist. Prikl. Mat. 16, No. 1, 14--28 (2016; Zbl 1399.12003)
Song, Aimin The Ulam stability of mixed Cauchy-quartic functional equation. (Chinese. English summary) Zbl 1374.39037 J. Chongqing Norm. Univ., Nat. Sci. 33, No. 5, 67-72 (2016). MSC: 39B82 39B52 46S10 PDFBibTeX XMLCite \textit{A. Song}, J. Chongqing Norm. Univ., Nat. Sci. 33, No. 5, 67--72 (2016; Zbl 1374.39037) Full Text: DOI
El Fadil, L.; Chillali, Abdelhakim; Akharraz, Ismail Prime ideal factorization in quartic number fields. (English) Zbl 1393.11087 Gulf J. Math. 4, No. 4, 1-15 (2016). MSC: 11Y40 PDFBibTeX XMLCite \textit{L. El Fadil} et al., Gulf J. Math. 4, No. 4, 1--15 (2016; Zbl 1393.11087) Full Text: Link
Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter Markoff triples and strong approximation. (Triplets de Markoff et approximation forte.) (English. French summary) Zbl 1378.11043 C. R., Math., Acad. Sci. Paris 354, No. 2, 131-135 (2016). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G25 11G35 14G15 PDFBibTeX XMLCite \textit{J. Bourgain} et al., C. R., Math., Acad. Sci. Paris 354, No. 2, 131--135 (2016; Zbl 1378.11043) Full Text: DOI arXiv
Lario, Joan-C. Al-Karají and I. (Spanish) Zbl 1407.11075 Gac. R. Soc. Mat. Esp. 19, No. 1, 133-149 (2016). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{J.-C. Lario}, Gac. R. Soc. Mat. Esp. 19, No. 1, 133--149 (2016; Zbl 1407.11075) Full Text: Link
González-Jiménez, Enrique; Najman, Filip; Tornero, José M. Torsion of rational elliptic curves over cubic fields. (English) Zbl 1358.11068 Rocky Mt. J. Math. 46, No. 6, 1899-1917 (2016). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R16 14G05 14H52 PDFBibTeX XMLCite \textit{E. González-Jiménez} et al., Rocky Mt. J. Math. 46, No. 6, 1899--1917 (2016; Zbl 1358.11068) Full Text: DOI arXiv Euclid
Guan, Xungui Discussion on the Diophantine equation \(X^2-(a^2+1)Y^4=35-12a\). (Chinese. English summary) Zbl 1363.11054 J. Zhejiang Univ., Sci. Ed. 43, No. 2, 138-143 (2016). MSC: 11D25 PDFBibTeX XMLCite \textit{X. Guan}, J. Zhejiang Univ., Sci. Ed. 43, No. 2, 138--143 (2016; Zbl 1363.11054) Full Text: DOI
Cohen, Henri; Thorne, Frank Dirichlet series associated to quartic fields with given cubic resolvent. (English) Zbl 1411.11099 Res. Number Theory 2, Paper No. 29, 40 p. (2016). MSC: 11R16 11R42 PDFBibTeX XMLCite \textit{H. Cohen} and \textit{F. Thorne}, Res. Number Theory 2, Paper No. 29, 40 p. (2016; Zbl 1411.11099) Full Text: DOI arXiv
Klaška, Jiří; Skula, Ladislav Law of inertia for the factorization of cubic polynomials – the case of discriminants divisible by three. (English) Zbl 1399.11178 Math. Slovaca 66, No. 4, 1019-1027 (2016). MSC: 11T06 11D25 PDFBibTeX XMLCite \textit{J. Klaška} and \textit{L. Skula}, Math. Slovaca 66, No. 4, 1019--1027 (2016; Zbl 1399.11178) Full Text: DOI
Stange, Katherine E. Integral points on elliptic curves and explicit valuations of division polynomials. (English) Zbl 1406.11055 Can. J. Math. 68, No. 5, 1120-1158 (2016). MSC: 11G05 11G07 11D25 11B37 11B39 11Y55 11G50 PDFBibTeX XMLCite \textit{K. E. Stange}, Can. J. Math. 68, No. 5, 1120--1158 (2016; Zbl 1406.11055) 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
Pan, Xiaowei; Du, Xiaoying The integral points on elliptic curves \(y^2=x^3-px\). (Chinese. English summary) Zbl 1363.11057 J. Inn. Mong. Norm. Univ., Nat. Sci. 45, No. 1, 1-3 (2016). MSC: 11D25 11G05 11G07 PDFBibTeX XMLCite \textit{X. Pan} and \textit{X. Du}, J. Inn. Mong. Norm. Univ., Nat. Sci. 45, No. 1, 1--3 (2016; Zbl 1363.11057)
Guan, Xungui On the Diophantine equation \(X^2-(a^2+1)Y^4 = 3-4a\). (Chinese. English summary) Zbl 1363.11053 Acta Math. Sin., Chin. Ser. 59, No. 1, 21-36 (2016). MSC: 11D25 PDFBibTeX XMLCite \textit{X. Guan}, Acta Math. Sin., Chin. Ser. 59, No. 1, 21--36 (2016; Zbl 1363.11053)
Kulkarni, Raghavendra G. Applying a Möbius transformation for solving quartic equations. (English) Zbl 1373.12002 Math. Sci. 41, No. 1, 16-20 (2016). MSC: 12E12 PDFBibTeX XMLCite \textit{R. G. Kulkarni}, Math. Sci. 41, No. 1, 16--20 (2016; Zbl 1373.12002)
Naskręcki, Bartosz Distribution of Mordell-Weil ranks of families of elliptic curves. (English) Zbl 1351.14021 Gładki, Paweł (ed.) et al., Algebra, logic and number theory. Proceedings of the 3rd joint conferences on algebra, logic and number theory, Bȩdlewo, Poland, June 8–13, 2014. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-31-7/pbk). Banach Center Publications 108, 201-229 (2016). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11D25 11D45 11G05 PDFBibTeX XMLCite \textit{B. Naskręcki}, Banach Cent. Publ. 108, 201--229 (2016; Zbl 1351.14021) Full Text: DOI arXiv
Bright, M. J.; Browning, T. D.; Loughran, D. Failures of weak approximation in families. (English) Zbl 1348.14067 Compos. Math. 152, No. 7, 1435-1475 (2016). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 14G25 14D10 11G35 11D25 PDFBibTeX XMLCite \textit{M. J. Bright} et al., Compos. Math. 152, No. 7, 1435--1475 (2016; Zbl 1348.14067) Full Text: DOI arXiv
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
Morton, Patrick Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. I. (English) Zbl 1419.11059 New York J. Math. 22, 715-740 (2016). MSC: 11D41 11G07 11G15 14H05 PDFBibTeX XMLCite \textit{P. Morton}, New York J. Math. 22, 715--740 (2016; Zbl 1419.11059) Full Text: arXiv EMIS
Destagnol, Kevin La conjecture de Manin pour certaines surfaces de Châtelet. (English) Zbl 1362.11044 Acta Arith. 174, No. 1, 31-97 (2016). Reviewer: B. Z. Moroz (Bonn) MSC: 11D45 11G35 14G25 11N37 14J20 11D25 PDFBibTeX XMLCite \textit{K. Destagnol}, Acta Arith. 174, No. 1, 31--97 (2016; Zbl 1362.11044) 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
Colliot-Thélène, Jean-Louis; Pirutka, Alena Three-dimensional quartic threefolds: stable non-rationality. (Hypersurfaces quartiques de dimension 3: non-rationalité stable.) (French. English summary) Zbl 1371.14028 Ann. Sci. Éc. Norm. Supér. (4) 49, No. 2, 371-397 (2016). MSC: 14G25 14M20 14E08 14C25 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} and \textit{A. Pirutka}, Ann. Sci. Éc. Norm. Supér. (4) 49, No. 2, 371--397 (2016; Zbl 1371.14028) Full Text: DOI arXiv Link
Baxa, C. Book review of: N. Tzanakis, Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. (English) Zbl 1341.00017 Monatsh. Math. 180, No. 2, 405-406 (2016). MSC: 00A17 11D25 11D41 11-02 11G05 11Y50 PDFBibTeX XMLCite \textit{C. Baxa}, Monatsh. Math. 180, No. 2, 405--406 (2016; Zbl 1341.00017) Full Text: DOI
Fuchs, Clemens; Jurasić, Ana; Paulin, Roland Elementary resolution of a family of quartic Thue equations over function fields. (English) Zbl 1359.11030 Monatsh. Math. 180, No. 2, 205-211 (2016). MSC: 11D25 11D59 PDFBibTeX XMLCite \textit{C. Fuchs} et al., Monatsh. Math. 180, No. 2, 205--211 (2016; Zbl 1359.11030) Full Text: DOI arXiv
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
Bruin, Peter; Najman, Filip A criterion to rule out torsion groups for elliptic curves over number fields. (English) Zbl 1408.11053 Res. Number Theory 2, Paper No. 3, 13 p. (2016). MSC: 11G05 PDFBibTeX XMLCite \textit{P. Bruin} and \textit{F. Najman}, Res. Number Theory 2, Paper No. 3, 13 p. (2016; Zbl 1408.11053) Full Text: DOI arXiv Link
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
Cass, Robert The Chowla-Selberg formula for quartic abelian CM fields. (English) Zbl 1357.11052 Proc. Am. Math. Soc. 144, No. 7, 2753-2769 (2016). Reviewer: Gabriele Nebe (Aachen) MSC: 11F41 11R42 PDFBibTeX XMLCite \textit{R. Cass}, Proc. Am. Math. Soc. 144, No. 7, 2753--2769 (2016; Zbl 1357.11052) Full Text: DOI Link
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
Valentini, Robert C. A note on value sets of quartic polynomials. (English) Zbl 1411.11133 Finite Fields Appl. 39, 272-276 (2016). MSC: 11T55 11R58 PDFBibTeX XMLCite \textit{R. C. Valentini}, Finite Fields Appl. 39, 272--276 (2016; Zbl 1411.11133) 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
Spearman, Blair K.; Yang, Qiduan; Yoo, Jeewon Minimal indices of pure cubic fields. (English) Zbl 1333.11099 Arch. Math. 106, No. 1, 35-40 (2016). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R29 11D59 PDFBibTeX XMLCite \textit{B. K. Spearman} et al., Arch. Math. 106, No. 1, 35--40 (2016; Zbl 1333.11099) Full Text: DOI Link
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
Naskręcki, Bartosz Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms. arXiv:1609.04715 Preprint, arXiv:1609.04715 [math.NT] (2016). MSC: 14H52 11D25 11D45 11G05 BibTeX Cite \textit{B. Naskręcki}, ``Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms'', Preprint, arXiv:1609.04715 [math.NT] (2016) Full Text: arXiv OA License
Choudhry, Ajai; Zargar, Arman Shamsi A parametrised family of Mordell curves. arXiv:1604.02693 Preprint, arXiv:1604.02693 [math.NT] (2016). MSC: 11D25 11G05 BibTeX Cite \textit{A. Choudhry} and \textit{A. S. Zargar}, ``A parametrised family of Mordell curves'', Preprint, arXiv:1604.02693 [math.NT] (2016) Full Text: arXiv OA License
Ishitsuka, Yasuhiro Linear determinantal representations of smooth plane cubics over finite fields. arXiv:1604.00115 Preprint, arXiv:1604.00115 [math.AG] (2016). MSC: 14H50 11D25 12Y05 14G15 15A33 BibTeX Cite \textit{Y. Ishitsuka}, ``Linear determinantal representations of smooth plane cubics over finite fields'', Preprint, arXiv:1604.00115 [math.AG] (2016) Full Text: arXiv OA License
Smith, Alexander The congruent numbers have positive natural density. arXiv:1603.08479 Preprint, arXiv:1603.08479 [math.NT] (2016). MSC: 11G40 11D25 11R29 BibTeX Cite \textit{A. Smith}, ``The congruent numbers have positive natural density'', Preprint, arXiv:1603.08479 [math.NT] (2016) Full Text: arXiv OA License
Landquist, Eric; Scheidler, Renate; Stein, Andreas Class number and regulator computation in cubic function fields. arXiv:1601.03309 Preprint, arXiv:1601.03309 [math.NT] (2016). MSC: 11R16 11R58 11R29 11Y16 11Y40 14H05 14Q05 BibTeX Cite \textit{E. Landquist} et al., ``Class number and regulator computation in cubic function fields'', Preprint, arXiv:1601.03309 [math.NT] (2016) Full Text: arXiv OA License