Haynou, Mbarek; Sodaïgui, Bouchaïb; Taous, Mohammed The 2-rank of the real pure quartic number field \(K= \mathbb{Q}(\sqrt[4]{pd^{2}})\). (English) Zbl 07690297 Rocky Mt. J. Math. 53, No. 1, 27-48 (2023). MSC: 11R16 11R29 11R37 PDF BibTeX XML Cite \textit{M. Haynou} et al., Rocky Mt. J. Math. 53, No. 1, 27--48 (2023; Zbl 07690297) Full Text: DOI Link OpenURL
Lee, Jun Ho Prime-producing polynomials related to class number one problem of number fields. (English) Zbl 07688248 Bull. Korean Math. Soc. 60, No. 2, 315-323 (2023). MSC: 11R09 11R11 11R16 11R29 PDF BibTeX XML Cite \textit{J. H. Lee}, Bull. Korean Math. Soc. 60, No. 2, 315--323 (2023; Zbl 07688248) Full Text: DOI OpenURL
Bremner, Andrew; Nguyen Xuan Tho On Fermat quartics \(x^4+y^4=Dz^4\) over cubic fields. (English) Zbl 07683780 Acta Arith. 207, No. 3, 217-234 (2023). MSC: 11D25 11R16 14G05 14G25 PDF BibTeX XML Cite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Acta Arith. 207, No. 3, 217--234 (2023; Zbl 07683780) Full Text: DOI OpenURL
Huang, Tinghao; Lalín, Matilde; Mila, Olivier Spherical Heron triangles and elliptic curves. (English) Zbl 07682960 J. Théor. Nombres Bordx. 35, No. 1, 219-246 (2023). MSC: 11G05 14J27 14J28 14H52 11D25 PDF BibTeX XML Cite \textit{T. Huang} et al., J. Théor. Nombres Bordx. 35, No. 1, 219--246 (2023; Zbl 07682960) Full Text: DOI arXiv OpenURL
Cherubini, Giacomo; Yatsyna, Pavlo Cyclic polytope of the simplest cubic fields. (English) Zbl 1506.11126 Discrete Comput. Geom. 69, No. 2, 338-348 (2023). MSC: 11P21 11R16 11K38 51M20 PDF BibTeX XML Cite \textit{G. Cherubini} and \textit{P. Yatsyna}, Discrete Comput. Geom. 69, No. 2, 338--348 (2023; Zbl 1506.11126) Full Text: DOI arXiv OpenURL
El Fadil, Lhoussain; Gaál, István Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9. (English) Zbl 07661842 Tatra Mt. Math. Publ. 83, 61-86 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{L. El Fadil} and \textit{I. Gaál}, Tatra Mt. Math. Publ. 83, 61--86 (2023; Zbl 07661842) Full Text: DOI OpenURL
Nguyen Xuan Tho Points on \(x^4+ y^4+ z^4=0\) over algebraic extensions of \(\mathbb{Q}(i)\). (English) Zbl 07661276 Int. J. Number Theory 19, No. 4, 829-842 (2023). MSC: 11D25 11R16 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Int. J. Number Theory 19, No. 4, 829--842 (2023; Zbl 07661276) Full Text: DOI OpenURL
Srinivas, K.; Subramani, M.; Sangale, Usha K. Euclidean algorithm in Galois quartic fields. (English) Zbl 07658678 Rend. Circ. Mat. Palermo (2) 72, No. 1, 1-7 (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 11R04 PDF BibTeX XML Cite \textit{K. Srinivas} et al., Rend. Circ. Mat. Palermo (2) 72, No. 1, 1--7 (2023; Zbl 07658678) Full Text: DOI arXiv OpenURL
Dubickas, Artūras Additive groups with many unimodular elements. (English) Zbl 07656565 Bull. Iran. Math. Soc. 49, No. 1, Paper No. 3, 8 p. (2023). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R21 11R27 11R16 PDF BibTeX XML Cite \textit{A. Dubickas}, Bull. Iran. Math. Soc. 49, No. 1, Paper No. 3, 8 p. (2023; Zbl 07656565) Full Text: DOI OpenURL
Sahmoudi, Mohammed; Charkani, Mohamed E. On relative pure cyclic fields with power integral bases. (English) Zbl 07655817 Math. Bohem. 148, No. 1, 117-128 (2023). MSC: 11Rxx 11R04 11R21 11Y40 11R16 PDF BibTeX XML Cite \textit{M. Sahmoudi} and \textit{M. E. Charkani}, Math. Bohem. 148, No. 1, 117--128 (2023; Zbl 07655817) Full Text: DOI OpenURL
Capuñay, Alex Shintani cones for complex cubic number fields. (English) Zbl 07654406 Int. J. Number Theory 19, No. 3, 467-479 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R16 11R27 PDF BibTeX XML Cite \textit{A. Capuñay}, Int. J. Number Theory 19, No. 3, 467--479 (2023; Zbl 07654406) Full Text: DOI OpenURL
Wong, Siman On the rank of cubic and quartic twists of elliptic curves by primes. (English) Zbl 07650796 J. Number Theory 246, 157-165 (2023). MSC: 11G05 11G35 11N36 PDF BibTeX XML Cite \textit{S. Wong}, J. Number Theory 246, 157--165 (2023; Zbl 07650796) Full Text: DOI OpenURL
Costa, Edgar; Harvey, David; Sutherland, Andrew V. Counting points on smooth plane quartics. (English) Zbl 1507.11058 Res. Number Theory 9, No. 1, Paper No. 1, 32 p. (2023). Reviewer: István Gaál (Debrecen) MSC: 11G40 11G20 11Y16 14G10 PDF BibTeX XML Cite \textit{E. Costa} et al., Res. Number Theory 9, No. 1, Paper No. 1, 32 p. (2023; Zbl 1507.11058) Full Text: DOI arXiv OpenURL
Mayer, Daniel C.; Soullami, Abderazak Algebraic number fields generated by an infinite family of monogenic trinomials. (English) Zbl 1498.11215 Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 1, 38 p. (2023). MSC: 11R04 11R16 11R20 11R21 11R27 11R29 11R37 11Y40 PDF BibTeX XML Cite \textit{D. C. Mayer} and \textit{A. Soullami}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 1, 38 p. (2023; Zbl 1498.11215) Full Text: DOI arXiv OpenURL
Dina, Bogdan; Ionica, Sorina; Sijsling, Jeroen Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication. (English) Zbl 1507.14044 Math. Comput. 92, No. 339, 349-383 (2023). Reviewer: Tony Ezome (Libreville) MSC: 14H40 14H25 14H45 14H50 14K20 14K22 PDF BibTeX XML Cite \textit{B. Dina} et al., Math. Comput. 92, No. 339, 349--383 (2023; Zbl 1507.14044) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Z. S. Aygin} and \textit{K. D. Nguyen}, J. Number Theory 242, 244 (2023; Zbl 1496.11130) Full Text: DOI OpenURL
Konyagin, Sergei V.; Shparlinski, Igor E.; Vyugin, Ilya V. Polynomial equations in subgroups and applications. (English) Zbl 07672492 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 273-297 (2022). MSC: 11D25 11G25 11T06 PDF BibTeX XML Cite \textit{S. V. Konyagin} et al., in: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 273--297 (2022; Zbl 07672492) Full Text: DOI arXiv OpenURL
Gužvić, Tomislav; Roy, Bidisha Torsion subgroups of rational Mordell curves over some families of number fields. (English) Zbl 07660092 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 30, No. 2, 125-132 (2022). MSC: 11G05 11R16 11R21 14H52 PDF BibTeX XML Cite \textit{T. Gužvić} and \textit{B. Roy}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 30, No. 2, 125--132 (2022; Zbl 07660092) Full Text: DOI arXiv OpenURL
Duke, W. On elliptic curves and binary quartic forms. (English) Zbl 07635308 Int. Math. Res. Not. 2022, No. 23, 19078-19104 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11D25 11E76 11G05 11M41 14H52 PDF BibTeX XML Cite \textit{W. Duke}, Int. Math. Res. Not. 2022, No. 23, 19078--19104 (2022; Zbl 07635308) Full Text: DOI OpenURL
Zhang, Yong; Tang, Qiongzhi; Zhang, Yuna On the Diophantine equations \(z^2=f(x)^2 \pm f(y)^2\) involving Laurent polynomials. II. (English) Zbl 1503.11076 Miskolc Math. Notes 23, No. 2, 1023-1036 (2022). MSC: 11D72 11D25 11D41 11G05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Miskolc Math. Notes 23, No. 2, 1023--1036 (2022; Zbl 1503.11076) Full Text: DOI OpenURL
El Fadil, Lhoussain On monogenity of certain pure number fields defined by \(x^{20}-m\). (English) Zbl 1499.11317 São Paulo J. Math. Sci. 16, No. 2, 1063-1071 (2022). MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{L. El Fadil}, São Paulo J. Math. Sci. 16, No. 2, 1063--1071 (2022; Zbl 1499.11317) Full Text: DOI OpenURL
Qi, Liqun; Song, Yisheng; Zhang, Xinzhen Positivity conditions for cubic, quartic and quintic polynomials. (English) Zbl 07620758 J. Nonlinear Convex Anal. 23, No. 2, 191-213 (2022). MSC: 12Dxx PDF BibTeX XML Cite \textit{L. Qi} et al., J. Nonlinear Convex Anal. 23, No. 2, 191--213 (2022; Zbl 07620758) Full Text: arXiv Link OpenURL
Cho, Peter J.; Fiorilli, Daniel; Lee, Yoonbok; Södergren, Anders Omega results for cubic field counts via lower-order terms in the one-level density. (English) Zbl 07609808 Forum Math. Sigma 10, Paper No. e80, 33 p. (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R16 11R42 11M26 11R47 11M50 PDF BibTeX XML Cite \textit{P. J. Cho} et al., Forum Math. Sigma 10, Paper No. e80, 33 p. (2022; Zbl 07609808) Full Text: DOI arXiv OpenURL
Keliher, Daniel Enumerating \(D_4\) quartics and a Galois group bias over function fields. (English. French summary) Zbl 07607133 J. Théor. Nombres Bordx. 34, No. 2, 371-391 (2022). Reviewer: Peter Koymans (Ann Arbor) MSC: 11R45 11R11 11R16 11R58 PDF BibTeX XML Cite \textit{D. Keliher}, J. Théor. Nombres Bordx. 34, No. 2, 371--391 (2022; Zbl 07607133) Full Text: DOI arXiv OpenURL
Kulkarni, Raghavendra G. A simpler method to get only the true solutions of cubic and quartic equations using Tschirnhaus transformation. (English) Zbl 1506.12002 Ann. Univ. Paedagog. Crac., Stud. Math. 355(21), 51-56 (2022). MSC: 12D10 PDF BibTeX XML Cite \textit{R. G. Kulkarni}, Ann. Univ. Paedagog. Crac., Stud. Math. 355(21), 51--56 (2022; Zbl 1506.12002) Full Text: DOI OpenURL
Gaál, István On the monogenity of certain binomial compositions. (English) Zbl 07602850 JP J. Algebra Number Theory Appl. 57, 1-16 (2022). MSC: 11R04 11R16 11Y50 PDF BibTeX XML Cite \textit{I. Gaál}, JP J. Algebra Number Theory Appl. 57, 1--16 (2022; Zbl 07602850) Full Text: DOI OpenURL
Govindan, Vediyappan; Lee, Jung-Rye; Pinelas, Sandra; Muniyappan, P. General solution and Ulam stability of generalized CQ functional equation. (English) Zbl 1498.39028 Korean J. Math. 30, No. 2, 403-412 (2022). MSC: 39B52 39B82 46S10 PDF BibTeX XML Cite \textit{V. Govindan} et al., Korean J. Math. 30, No. 2, 403--412 (2022; Zbl 1498.39028) Full Text: DOI OpenURL
Huang, Bo; Peng, Linping; Cui, Yong On the number of limit cycles bifurcating from a quartic reversible center. (English) Zbl 07592511 Mediterr. J. Math. 19, No. 5, Paper No. 220, 26 p. (2022). Reviewer: Alois Steindl (Wien) MSC: 37G15 37C27 34C07 34C05 34C29 PDF BibTeX XML Cite \textit{B. Huang} et al., Mediterr. J. Math. 19, No. 5, Paper No. 220, 26 p. (2022; Zbl 07592511) Full Text: DOI OpenURL
El Fadil, Lhoussain On power integral bases for certain pure number fields defined by \(x^{18}-m\). (English) Zbl 07584110 Commentat. Math. Univ. Carol. 63, No. 1, 11-19 (2022). MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{L. El Fadil}, Commentat. Math. Univ. Carol. 63, No. 1, 11--19 (2022; Zbl 07584110) Full Text: DOI OpenURL
Chan, Stephanie Integral points on the congruent number curve. (English) Zbl 07578607 Trans. Am. Math. Soc. 375, No. 9, 6675-6700 (2022). Reviewer: Michel Waldschmidt (Paris) MSC: 11D45 11G05 11D25 PDF BibTeX XML Cite \textit{S. Chan}, Trans. Am. Math. Soc. 375, No. 9, 6675--6700 (2022; Zbl 07578607) Full Text: DOI arXiv OpenURL
Nguyen Xuan Tho Solutions to \(x^4+py^4=z^4\) in cubic number fields. (English) Zbl 1506.11041 Arch. Math. 119, No. 3, 269-277 (2022). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R16 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Arch. Math. 119, No. 3, 269--277 (2022; Zbl 1506.11041) Full Text: DOI OpenURL
David, Chantal; Florea, Alexandra; Lalín, Matilde The mean values of cubic \(L\)-functions over function fields. (English) Zbl 1508.11085 Algebra Number Theory 16, No. 5, 1259-1326 (2022). Reviewer: Sophie Marques (Cape Town) MSC: 11M06 11M38 11R16 11R58 PDF BibTeX XML Cite \textit{C. David} et al., Algebra Number Theory 16, No. 5, 1259--1326 (2022; Zbl 1508.11085) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Lee} et al., J. Number Theory 238, 474--501 (2022; Zbl 1498.11146) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Tengely} and \textit{M. Ulas}, J. Number Theory 240, 656--684 (2022; Zbl 1508.11105) Full Text: DOI arXiv OpenURL
Kaur, Sumandeep; Khanduja, Sudesh K. Discriminant and integral basis of sextic fields defined by \(x^6+ax+b\). (English) Zbl 1502.11107 Commun. Algebra 50, No. 10, 4401-4436 (2022). Reviewer: Radoslav M. Dimitrić (New York) MSC: 11R04 11R29 11-01 11R16 12J10 PDF BibTeX XML Cite \textit{S. Kaur} and \textit{S. K. Khanduja}, Commun. Algebra 50, No. 10, 4401--4436 (2022; Zbl 1502.11107) Full Text: DOI arXiv OpenURL
Desjardins, Julie; Winter, Rosa [Colliot-Thélène, Jean-Louis] Density of rational points on a family of del Pezzo surfaces of degree one (with an appendix by Jean-Louis Colliot-Thélène). (English) Zbl 1491.14035 Adv. Math. 405, Article ID 108489, 20 p. (2022). Reviewer: Matthias Schütt (Hannover) MSC: 14G05 14M20 11G05 11D25 14J26 PDF BibTeX XML Cite \textit{J. Desjardins} and \textit{R. Winter}, Adv. Math. 405, Article ID 108489, 20 p. (2022; Zbl 1491.14035) Full Text: DOI arXiv OpenURL
Das, Shamik; Saikia, Anupam Families of even noncongruent numbers with arbitrarily many pairs of prime factors. (English) Zbl 07555148 Rocky Mt. J. Math. 52, No. 2, 471-481 (2022). MSC: 11G05 11D25 11A15 PDF BibTeX XML Cite \textit{S. Das} and \textit{A. Saikia}, Rocky Mt. J. Math. 52, No. 2, 471--481 (2022; Zbl 07555148) Full Text: DOI Link OpenURL
Stevenhagen, Peter Redei reciprocity, governing fields and negative Pell. (English) Zbl 07554751 Math. Proc. Camb. Philos. Soc. 172, No. 3, 627-654 (2022). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R11 11R37 11R16 PDF BibTeX XML Cite \textit{P. Stevenhagen}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 627--654 (2022; Zbl 07554751) Full Text: DOI arXiv OpenURL
Ben Yakkou, H. On monogenity of certain number fields defined by \(x^8+ax+b\). (English) Zbl 07551272 Acta Math. Hung. 166, No. 2, 614-623 (2022). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{H. Ben Yakkou}, Acta Math. Hung. 166, No. 2, 614--623 (2022; Zbl 07551272) Full Text: DOI OpenURL
Sadek, Mohammad; Yesin, Tuğba Divisibility by 2 on quartic models of elliptic curves and rational Diophantine \(D(q)\)-quintuples. (English) Zbl 07550937 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 139, 17 p. (2022). MSC: 11G05 11D09 PDF BibTeX XML Cite \textit{M. Sadek} and \textit{T. Yesin}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 139, 17 p. (2022; Zbl 07550937) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Y. Zhang}, Int. J. Number Theory 18, No. 7, 1517--1533 (2022; Zbl 1491.11033) Full Text: DOI OpenURL
Gaiko, Valery A. Limit cycles of multi-parameter polynomial dynamical systems. (English) Zbl 1504.34063 J. Math. Sci., New York 260, No. 5, 662-677 (2022) and Ukr. Mat. Visn. 18, No. 4, 518-539 (2021). Reviewer: Gheorghe Tigan (Timișoara) MSC: 34C05 34C07 34C23 34C60 PDF BibTeX XML Cite \textit{V. A. Gaiko}, J. Math. Sci., New York 260, No. 5, 662--677 (2022; Zbl 1504.34063) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Gillibert} and \textit{P. Gillibert}, Int. J. Number Theory 18, No. 6, 1261--1288 (2022; Zbl 1502.11112) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{E. Bellah}, Int. J. Number Theory 18, No. 6, 1239--1259 (2022; Zbl 1497.11079) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. El Fadil}, J. Number Theory 239, 489--500 (2022; Zbl 1494.11084) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Panraksa}, Int. J. Number Theory 18, No. 5, 1111--1129 (2022; Zbl 1506.37121) Full Text: DOI arXiv OpenURL
Juyal, Abhishek; Moody, Dustin Pairs of Heron and right triangles with a common area and a common perimeter. (English) Zbl 07523947 Publ. Math. Debr. 100, No. 3-4, 449-460 (2022). MSC: 11D25 11G05 PDF BibTeX XML Cite \textit{A. Juyal} and \textit{D. Moody}, Publ. Math. Debr. 100, No. 3--4, 449--460 (2022; Zbl 07523947) Full Text: DOI OpenURL
Dobrescu, Bogdan A.; Fox, Patrick J. Diophantine equations with sum of cubes and cube of sum. (English) Zbl 1497.11073 Commun. Number Theory Phys. 16, No. 2, 401-434 (2022). MSC: 11D25 11D45 11D85 11G05 PDF BibTeX XML Cite \textit{B. A. Dobrescu} and \textit{P. J. Fox}, Commun. Number Theory Phys. 16, No. 2, 401--434 (2022; Zbl 1497.11073) Full Text: DOI arXiv OpenURL
Zhao, Junyong; Feng, Yulu; Hong, Shaofang; Zhu, Chaoxi On the number of zeros of diagonal quartic forms over finite fields. (English) Zbl 1497.11090 Forum Math. 34, No. 2, 385-405 (2022). MSC: 11D79 11T22 PDF BibTeX XML Cite \textit{J. Zhao} et al., Forum Math. 34, No. 2, 385--405 (2022; Zbl 1497.11090) Full Text: DOI arXiv OpenURL
Azizi, Abdelmalek; Elmouhib, Fouad; Talbi, Mohamed 5-rank of ambiguous class groups of quintic Kummer extensions. (English) Zbl 07501849 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022). MSC: 11R29 11R16 11R18 11R27 PDF BibTeX XML Cite \textit{A. Azizi} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022; Zbl 07501849) Full Text: DOI arXiv OpenURL
Ouyang, Yi; Zhang, Shenxing Errata to: “On second 2-descent and non-congruent numbers”. (English) Zbl 1482.11082 Acta Arith. 202, No. 2, 203 (2022). MSC: 11G05 11D25 PDF BibTeX XML Cite \textit{Y. Ouyang} and \textit{S. Zhang}, Acta Arith. 202, No. 2, 203 (2022; Zbl 1482.11082) Full Text: DOI OpenURL
Llibre, Jaume; Martínez, Y. Paulina; Vidal, Claudio Algebraic and topological classification of homogeneous quartic vector fields in the plane. (English) Zbl 1497.37029 Ann. Mat. Pura Appl. (4) 201, No. 1, 37-55 (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 37C15 37C10 34C05 34C07 PDF BibTeX XML Cite \textit{J. Llibre} et al., Ann. Mat. Pura Appl. (4) 201, No. 1, 37--55 (2022; Zbl 1497.37029) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{I. Gaál} and \textit{M. E. Pohst}, J. Number Theory 236, 479--491 (2022; Zbl 1493.11159) Full Text: DOI OpenURL
Hirakawa, Yoshinosuke; Shimizu, Yosuke Counterexamples to the local-global principle for non-singular plane curves and a cubic analogue of Ankeny-Artin-Chowla-Mordell conjecture. (English) Zbl 1490.11039 Proc. Am. Math. Soc. 150, No. 5, 1821-1835 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11D41 11D57 11E76 11N32 11R16 PDF BibTeX XML Cite \textit{Y. Hirakawa} and \textit{Y. Shimizu}, Proc. Am. Math. Soc. 150, No. 5, 1821--1835 (2022; Zbl 1490.11039) Full Text: DOI arXiv OpenURL
Kamel, Alwaleed; Saleem, Mohammed A.; Elshareef, Waleed K. Group generated by total sextactic points of a family of quartic curves. (English) Zbl 1490.11066 Commun. Algebra 50, No. 3, 1342-1362 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 14H45 PDF BibTeX XML Cite \textit{A. Kamel} et al., Commun. Algebra 50, No. 3, 1342--1362 (2022; Zbl 1490.11066) Full Text: DOI OpenURL
El Fadil, Lhoussain On power integral bases for certain pure number fields. (English) Zbl 1499.11316 Publ. Math. Debr. 100, No. 1-2, 219-231 (2022). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{L. El Fadil}, Publ. Math. Debr. 100, No. 1--2, 219--231 (2022; Zbl 1499.11316) Full Text: DOI arXiv OpenURL
Ahmadi, Mahnaz; Janfada, Ali S. On quartic Diophantine equations with trivial solutions in the Gaussian integer. (English) Zbl 1486.11046 Int. Electron. J. Algebra 31, 134-142 (2022). Reviewer: István Gaál (Debrecen) MSC: 11D25 11G05 11D45 PDF BibTeX XML Cite \textit{M. Ahmadi} and \textit{A. S. Janfada}, Int. Electron. J. Algebra 31, 134--142 (2022; Zbl 1486.11046) Full Text: DOI OpenURL
Krásenský, Jakub A cubic ring of integers with the smallest Pythagoras number. (English) Zbl 1491.11039 Arch. Math. 118, No. 1, 39-48 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E12 11R04 11R16 11R80 PDF BibTeX XML Cite \textit{J. Krásenský}, Arch. Math. 118, No. 1, 39--48 (2022; Zbl 1491.11039) Full Text: DOI arXiv OpenURL
Li, Jianing; Zhang, Shenxing The 3-class groups of \(\mathbb{Q}(\sqrt[3]{p})\) and its normal closure. (English) Zbl 1496.11134 Math. Z. 300, No. 1, 209-215 (2022). Reviewer: James E. Carter (Charleston) MSC: 11R29 11R16 PDF BibTeX XML Cite \textit{J. Li} and \textit{S. Zhang}, Math. Z. 300, No. 1, 209--215 (2022; Zbl 1496.11134) Full Text: DOI arXiv OpenURL
Nguyen Xuan Tho On a problem of Richard Guy. (English) Zbl 1492.11071 Bull. Aust. Math. Soc. 105, No. 1, 12-18 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11D88 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Bull. Aust. Math. Soc. 105, No. 1, 12--18 (2022; Zbl 1492.11071) Full Text: DOI Backlinks: MO OpenURL
González, Josep On the \(p\)-th division polynomial. (English) Zbl 1486.11086 J. Number Theory 233, 285-300 (2022). MSC: 11G05 11G20 11D25 14H52 PDF BibTeX XML Cite \textit{J. González}, J. Number Theory 233, 285--300 (2022; Zbl 1486.11086) Full Text: DOI OpenURL
Bouw, Irene; Coppola, Nirvana; Kılıçer, Pınar; Kunzweiler, Sabrina; García, Elisa Lorenzo; Somoza, Anna Reduction types of genus-3 curves in a special stratum of their moduli space. (English) Zbl 1506.14058 Cojocaru, Alina Carmen (ed.) et al., Women in numbers Europe III. Research directions in number theory. Selected papers based on the presentations at the 3rd conference, WINE 3, La Hublais, Center in Cesson-Sévigné, Bretagne, France, August 26–30, 2019. Cham: Springer. Assoc. Women Math. Ser. 24, 115-162 (2021). Reviewer: Scott Nollet (Fort Worth) MSC: 14H10 14H50 14H25 11G20 14Q05 PDF BibTeX XML Cite \textit{I. Bouw} et al., Assoc. Women Math. Ser. 24, 115--162 (2021; Zbl 1506.14058) Full Text: DOI arXiv OpenURL
Lercier, Reynald; Lorenzo García, Elisa; Ritzenthaler, Christophe Stable models of plane quartics with hyperelliptic reduction. (English) Zbl 07605569 Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 223-237 (2021). Reviewer: Sungkon Chang (Savannah) MSC: 11G20 14Q05 14D10 14D20 14H25 PDF BibTeX XML Cite \textit{R. Lercier} et al., Contemp. Math. 770, 223--237 (2021; Zbl 07605569) Full Text: DOI arXiv OpenURL
Aouissi, Siham; Talbi, Mohamed; Mayer, Daniel C.; Ismaili, Moulay Chrif 3-principalization over \(S_3\)-fields. (English) Zbl 1497.11275 Turk. J. Math. 45, No. 5, 2225-2247 (2021). MSC: 11R37 11R29 11R32 11R20 11R16 20D15 20F05 PDF BibTeX XML Cite \textit{S. Aouissi} et al., Turk. J. Math. 45, No. 5, 2225--2247 (2021; Zbl 1497.11275) Full Text: DOI arXiv OpenURL
Hajjami, Moulay Ahmed; Chems-Eddin, Mohamed Mahmoud On Hilbert genus fields of imaginary cyclic quartic fields. (English) Zbl 1497.11265 Turk. J. Math. 45, No. 4, 1689-1704 (2021). MSC: 11R16 11R29 11R27 11R37 PDF BibTeX XML Cite \textit{M. A. Hajjami} and \textit{M. M. Chems-Eddin}, Turk. J. Math. 45, No. 4, 1689--1704 (2021; Zbl 1497.11265) Full Text: DOI arXiv OpenURL
Nguyen Xuan Tho What positive integers \(n\) can be presented in the form \(n=(x+y+z)(1/x+1/y+1/z)\)? (English) Zbl 1487.11032 Ann. Math. Inform. 54, 141-146 (2021). MSC: 11D25 11G05 11D88 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Ann. Math. Inform. 54, 141--146 (2021; Zbl 1487.11032) Full Text: DOI OpenURL
Prodanov, Emil M. Classification of the real roots of the quartic equation and their Pythagorean tunes. (English) Zbl 1499.12001 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 218, 14 p. (2021). MSC: 12D10 26C10 11D41 PDF BibTeX XML Cite \textit{E. M. Prodanov}, Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 218, 14 p. (2021; Zbl 1499.12001) Full Text: DOI arXiv OpenURL
de Courcy-Ireland, Matthew; Magee, Michael Kesten-McKay law for the Markoff surface mod \(p\). (Loi de Kesten-McKay pour la surface de Markoff modulo \(p\).) (English. French summary) Zbl 07480704 Ann. Henri Lebesgue 4, 227-250 (2021). MSC: 11D25 05C50 11F72 37P25 PDF BibTeX XML Cite \textit{M. de Courcy-Ireland} and \textit{M. Magee}, Ann. Henri Lebesgue 4, 227--250 (2021; Zbl 07480704) Full Text: DOI arXiv OpenURL
Hajdu, G.; Hajdu, L. On the Liouville function on rational polynomial values. (English) Zbl 1498.11194 Acta Arith. 201, No. 2, 119-130 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N32 11G05 11D09 11D25 PDF BibTeX XML Cite \textit{G. Hajdu} and \textit{L. Hajdu}, Acta Arith. 201, No. 2, 119--130 (2021; Zbl 1498.11194) Full Text: DOI OpenURL
Byeon, Dongho; Han, Gyeoul Elliptic curves with all quartic twists of the same root number. (English) Zbl 1487.11055 Proc. Japan Acad., Ser. A 97, No. 9, 73-75 (2021). Reviewer: Paul Voutier (London) MSC: 11G05 11G07 PDF BibTeX XML Cite \textit{D. Byeon} and \textit{G. Han}, Proc. Japan Acad., Ser. A 97, No. 9, 73--75 (2021; Zbl 1487.11055) Full Text: DOI OpenURL
David, Chantal; Florea, Alexandra; Lalin, Matilde Nonvanishing for cubic \(L\)-functions. (English) Zbl 1495.11099 Forum Math. Sigma 9, Paper No. e69, 58 p. (2021). Reviewer: Thomas Oliver (Nottingham) MSC: 11M06 11M38 11R16 11R58 PDF BibTeX XML Cite \textit{C. David} et al., Forum Math. Sigma 9, Paper No. e69, 58 p. (2021; Zbl 1495.11099) Full Text: DOI arXiv OpenURL
Loughran, Daniel; Mitankin, Vladimir Integral Hasse principle and strong approximation for Markoff surfaces. (English) Zbl 1485.11106 Int. Math. Res. Not. 2021, No. 18, 14086-14122 (2021). Reviewer: Paul Voutier (London) MSC: 11G25 11D25 14G12 PDF BibTeX XML Cite \textit{D. Loughran} and \textit{V. Mitankin}, Int. Math. Res. Not. 2021, No. 18, 14086--14122 (2021; Zbl 1485.11106) Full Text: DOI arXiv OpenURL
Li, Min; Han, Maoan On the number of limit cycles of a quartic polynomial system. (English) Zbl 1485.34101 Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3167-3181 (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C07 34C05 PDF BibTeX XML Cite \textit{M. Li} and \textit{M. Han}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3167--3181 (2021; Zbl 1485.34101) Full Text: DOI OpenURL
El Fadil, Lhoussain; Ben Yakkou, Hamid; Didi, Jalal On power integral bases of certain pure number fields defined by \(x^{42}-m\). (English) Zbl 1478.11124 Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 81, 10 p. (2021). MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{L. El Fadil} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 81, 10 p. (2021; Zbl 1478.11124) Full Text: DOI OpenURL
Barquero-Sanchez, Adrian; Mantilla-Soler, Guillermo; Ryan, Nathan C. Theta series and number fields: theorems and experiments. (English) Zbl 1476.11075 Ramanujan J. 56, No. 2, 613-630 (2021). MSC: 11F27 11E12 11E76 11R16 PDF BibTeX XML Cite \textit{A. Barquero-Sanchez} et al., Ramanujan J. 56, No. 2, 613--630 (2021; Zbl 1476.11075) Full Text: DOI arXiv OpenURL
Dey, Pallab Kanti; Roy, Bidisha Torsion groups of Mordell curves over cubic and sextic fields. (English) Zbl 1499.11212 Publ. Math. Debr. 99, No. 3-4, 275-297 (2021). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 11G05 11R04 11R16 11R21 11G20 PDF BibTeX XML Cite \textit{P. K. Dey} and \textit{B. Roy}, Publ. Math. Debr. 99, No. 3--4, 275--297 (2021; Zbl 1499.11212) Full Text: DOI arXiv OpenURL
Li, Jianing On the 2-adic logarithm of units of certain totally imaginary quartic fields. (English) Zbl 1474.11188 Asian J. Math. 25, No. 2, 177-182 (2021). MSC: 11R27 11R29 PDF BibTeX XML Cite \textit{J. Li}, Asian J. Math. 25, No. 2, 177--182 (2021; Zbl 1474.11188) Full Text: DOI arXiv OpenURL
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader On the rank of the 2-class group of some imaginary triquadratic number fields. (English) Zbl 1480.11137 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1751-1769 (2021). Reviewer: Claude Levesque (Québec) MSC: 11R11 11R16 11R18 11R27 11R29 PDF BibTeX XML Cite \textit{A. Azizi} et al., Rend. Circ. Mat. Palermo (2) 70, No. 3, 1751--1769 (2021; Zbl 1480.11137) Full Text: DOI arXiv OpenURL
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe Reduction type of smooth plane quartics. (English) Zbl 1494.13006 Algebra Number Theory 15, No. 6, 1429-1468 (2021). Reviewer: Sophie Kriz (Ann Arbor) MSC: 13A50 14H10 14H25 14L24 PDF BibTeX XML Cite \textit{R. Lercier} et al., Algebra Number Theory 15, No. 6, 1429--1468 (2021; Zbl 1494.13006) Full Text: DOI arXiv OpenURL
El Mahi, A.; Ziane, M. The Iwasawa invariant \(\mu\) vanishes for \(\mathbb{Z}_2\)-extensions of certain real biquadratic fields. (English) Zbl 1499.11337 Acta Math. Hung. 165, No. 1, 146-155 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11R23 11R16 11R21 11R27 11R29 11R32 PDF BibTeX XML Cite \textit{A. El Mahi} and \textit{M. Ziane}, Acta Math. Hung. 165, No. 1, 146--155 (2021; Zbl 1499.11337) Full Text: DOI OpenURL
Gao, Peng; Zhao, Liangyi Value-distribution of quartic Hecke \(L\)-functions. (English) Zbl 1484.11184 Mosc. J. Comb. Number Theory 10, No. 3, 167-181 (2021). MSC: 11M41 11R42 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, Mosc. J. Comb. Number Theory 10, No. 3, 167--181 (2021; Zbl 1484.11184) Full Text: DOI arXiv OpenURL
Kamel, Alwaleed Group generated by total sextactic points of Kuribayashi quartic curve. (English) Zbl 1482.11090 J. Algebra Appl. 20, No. 10, Article ID 2150184, 14 p. (2021). Reviewer: Robin Zhang (Princeton) MSC: 11G30 14H45 14H40 PDF BibTeX XML Cite \textit{A. Kamel}, J. Algebra Appl. 20, No. 10, Article ID 2150184, 14 p. (2021; Zbl 1482.11090) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{V. Karemaker} et al., Int. J. Number Theory 17, No. 9, 2019--2053 (2021; Zbl 1491.11100) Full Text: DOI arXiv OpenURL
Barańczuk, Stefan A note on the Diophantine equation \((x^2-1)(y^2-1)=(z^2-1)^2\). (English) Zbl 1478.11039 Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 23-26 (2021). Reviewer: Victor Wang (Princeton) MSC: 11D25 11G05 14J27 14J28 PDF BibTeX XML Cite \textit{S. Barańczuk}, Banach Cent. Publ. 124, 23--26 (2021; Zbl 1478.11039) Full Text: DOI OpenURL
Guan, Xungui On the Diophantine equation \(X^2 - (a^2 + 1)Y^4 = k^2 - 1 - 2ka\). (Chinese. English summary) Zbl 1488.11081 J. Sichuan Norm. Univ., Nat. Sci. 44, No. 2, 225-234 (2021). MSC: 11D25 11J68 PDF BibTeX XML Cite \textit{X. Guan}, J. Sichuan Norm. Univ., Nat. Sci. 44, No. 2, 225--234 (2021; Zbl 1488.11081) Full Text: DOI OpenURL
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader On some imaginary triquadratic number fields \(k\) with \(\mathrm{Cl}_2(k)\simeq(2,4)\) or \((2, 2, 2)\). (English) Zbl 07396207 Commentat. Math. Univ. Carol. 62, No. 1, 1-14 (2021). MSC: 11R11 11R16 11R18 11R27 11R29 PDF BibTeX XML Cite \textit{A. Azizi} et al., Commentat. Math. Univ. Carol. 62, No. 1, 1--14 (2021; Zbl 07396207) Full Text: DOI arXiv OpenURL
Kashio, Tomokazu; Sekigawa, Ryutaro The characterization of cyclic cubic fields with power integral bases. (English) Zbl 1478.11126 Kodai Math. J. 44, No. 2, 290-306 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11D25 11R29 11R34 PDF BibTeX XML Cite \textit{T. Kashio} and \textit{R. Sekigawa}, Kodai Math. J. 44, No. 2, 290--306 (2021; Zbl 1478.11126) Full Text: DOI arXiv OpenURL
Hirakawa, Yoshinosuke; Matsumura, Hideki Infinitely many hyperelliptic curves with exactly two rational points. (English) Zbl 1471.11201 Rocky Mt. J. Math. 51, No. 3, 883-889 (2021). MSC: 11G30 11G05 11D25 14G05 PDF BibTeX XML Cite \textit{Y. Hirakawa} and \textit{H. Matsumura}, Rocky Mt. J. Math. 51, No. 3, 883--889 (2021; Zbl 1471.11201) Full Text: DOI arXiv OpenURL
Hajdu, Lajos; Tengely, Szabolcs Powers in arithmetic progressions. (English) Zbl 1481.11014 Ramanujan J. 55, No. 3, 965-986 (2021). Reviewer: C. P. Anil Kumar (Chennai) MSC: 11B25 11N64 11G30 11D25 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{S. Tengely}, Ramanujan J. 55, No. 3, 965--986 (2021; Zbl 1481.11014) Full Text: DOI OpenURL
Harron, Robert Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent. (English) Zbl 1481.11107 Algebra Number Theory 15, No. 5, 1095-1125 (2021). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11E12 11R45 PDF BibTeX XML Cite \textit{R. Harron}, Algebra Number Theory 15, No. 5, 1095--1125 (2021; Zbl 1481.11107) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. El Fadil}, J. Number Theory 228, 375--389 (2021; Zbl 1479.11182) Full Text: DOI arXiv OpenURL
Li, Andrew The Diophantine equation \(x^4+2^ny^4=1\) in quadratic number fields. (English) Zbl 1472.11095 Bull. Aust. Math. Soc. 104, No. 1, 21-28 (2021). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R11 11D45 PDF BibTeX XML Cite \textit{A. Li}, Bull. Aust. Math. Soc. 104, No. 1, 21--28 (2021; Zbl 1472.11095) Full Text: DOI OpenURL
Xie, Tiantian; Yang, Hai; Xu, Qian The positive integer solutions of elliptic curves \({y^2} = qx ({x^2} - 256)\). (Chinese. English summary) Zbl 1474.11087 J. Qufu Norm. Univ., Nat. Sci. 47, No. 1, 47-51 (2021). MSC: 11D25 11G05 11G07 PDF BibTeX XML Cite \textit{T. Xie} et al., J. Qufu Norm. Univ., Nat. Sci. 47, No. 1, 47--51 (2021; Zbl 1474.11087) OpenURL
Shankar, Ananth N.; Shankar, Arul; Wang, Xiaoheng Large families of elliptic curves ordered by conductor. (English) Zbl 1485.11100 Compos. Math. 157, No. 7, 1538-1583 (2021). Reviewer: Stanley Yao Xiao (Waterloo) MSC: 11G05 11R29 11R45 11E76 PDF BibTeX XML Cite \textit{A. N. Shankar} et al., Compos. Math. 157, No. 7, 1538--1583 (2021; Zbl 1485.11100) Full Text: DOI arXiv OpenURL
Nakagawa, Jin A conjecture on the zeta functions of pairs of ternary quadratic forms. (English) Zbl 1478.11141 Am. J. Math. 143, No. 2, 335-410 (2021). Reviewer: Yilmaz Simsek (Antalya) MSC: 11S80 11E20 11M41 PDF BibTeX XML Cite \textit{J. Nakagawa}, Am. J. Math. 143, No. 2, 335--410 (2021; Zbl 1478.11141) Full Text: DOI arXiv OpenURL
Louboutin, Stéphane R. Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields. (English) Zbl 1470.11297 Acta Arith. 198, No. 3, 233-256 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M20 11R11 11R16 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Acta Arith. 198, No. 3, 233--256 (2021; Zbl 1470.11297) Full Text: DOI OpenURL
Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader The 2-rank of the class group of some real cyclic quartic number fields. (English) Zbl 1469.11417 Proc. Indian Acad. Sci., Math. Sci. 131, No. 1, Paper No. 7, 17 p. (2021). MSC: 11R16 11R29 11R11 11R80 PDF BibTeX XML Cite \textit{A. Azizi} et al., Proc. Indian Acad. Sci., Math. Sci. 131, No. 1, Paper No. 7, 17 p. (2021; Zbl 1469.11417) Full Text: DOI arXiv OpenURL
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek The generators of 3-class group of some fields of degree 6 over \(\mathbb{Q}\). (English) Zbl 1474.11185 Bol. Soc. Parana. Mat. (3) 39, No. 3, 37-52 (2021). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{S. Aouissi} et al., Bol. Soc. Parana. Mat. (3) 39, No. 3, 37--52 (2021; Zbl 1474.11185) Full Text: arXiv Link OpenURL
Friedrichsen, Matthew; Keliher, Daniel Comparing the density of \(D_4\) and \(S_4\) quartic extensions of number fields. (English) Zbl 1467.11101 Proc. Am. Math. Soc. 149, No. 6, 2357-2369 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11R42 11R29 11R45 PDF BibTeX XML Cite \textit{M. Friedrichsen} and \textit{D. Keliher}, Proc. Am. Math. Soc. 149, No. 6, 2357--2369 (2021; Zbl 1467.11101) Full Text: DOI arXiv OpenURL