Kim, Daejun; Lee, Seok Hyeong Lifting problem for universal quadratic forms over totally real cubic number fields. (English) Zbl 07815323 Bull. Lond. Math. Soc. 56, No. 3, 1192-1206 (2024). MSC: 11E12 11R16 11H06 11H55 PDFBibTeX XMLCite \textit{D. Kim} and \textit{S. H. Lee}, Bull. Lond. Math. Soc. 56, No. 3, 1192--1206 (2024; Zbl 07815323) Full Text: DOI arXiv
Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader On the 2-class number of some real cyclic quartic number fields. I. (English) Zbl 07815043 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 19, 26 p. (2024). MSC: 11R29 11R16 11R11 11R80 PDFBibTeX XMLCite \textit{A. Azizi} et al., Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 19, 26 p. (2024; Zbl 07815043) Full Text: DOI
Tho, Nguyen Xuan On the difference of two fourth powers. (English) Zbl 07811758 Proc. Edinb. Math. Soc., II. Ser. 67, No. 1, 142-150 (2024). MSC: 14G25 14H50 PDFBibTeX XMLCite \textit{N. X. Tho}, Proc. Edinb. Math. Soc., II. Ser. 67, No. 1, 142--150 (2024; Zbl 07811758) Full Text: DOI
Chan, Stephanie Integral points on cubic twists of Mordell curves. (English) Zbl 07808057 Math. Ann. 388, No. 3, 2275-2288 (2024). MSC: 11D45 11G05 11D25 PDFBibTeX XMLCite \textit{S. Chan}, Math. Ann. 388, No. 3, 2275--2288 (2024; Zbl 07808057) Full Text: DOI arXiv
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
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
Hwang, Wontae; Jeon, Daeyeol Modular curves with infinitely many quartic points. (English) Zbl 07753433 Math. Comput. 93, No. 345, 383-395 (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 11G30 PDFBibTeX XMLCite \textit{W. Hwang} and \textit{D. Jeon}, Math. Comput. 93, No. 345, 383--395 (2024; Zbl 07753433) Full Text: DOI
Dummit, David S.; Kisilevsky, Hershy Unit signature ranks in real biquadratic and multiquadratic number fields. (English) Zbl 07800637 Tokyo J. Math. 46, No. 2, 401-424 (2023). MSC: 11R27 11R16 11R29 11R80 PDFBibTeX XMLCite \textit{D. S. Dummit} and \textit{H. Kisilevsky}, Tokyo J. Math. 46, No. 2, 401--424 (2023; Zbl 07800637) Full Text: DOI
Gaál, István; Remete, László On the monogenity of pure quartic relative extensions of \(\mathbb{Q}(i)\). (English) Zbl 07794399 Acta Sci. Math. 89, No. 3-4, 357-371 (2023). MSC: 11Y50 11R04 11R16 11R21 11D41 11D57 11Y40 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Acta Sci. Math. 89, No. 3--4, 357--371 (2023; Zbl 07794399) Full Text: DOI
Li, Guilin; Cheng, Teng The Selmer groups of elliptic curves \(E_n: y^2=x^3+nx\). (English) Zbl 07789458 Bull. Belg. Math. Soc. - Simon Stevin 30, No. 3, 369-385 (2023). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{G. Li} and \textit{T. Cheng}, Bull. Belg. Math. Soc. - Simon Stevin 30, No. 3, 369--385 (2023; Zbl 07789458) Full Text: DOI Link
Li, Guilin; Qin, Hourong Diophantine equations, class groups and non-congruent numbers. (English) Zbl 07784982 Ramanujan J. 62, No. 4, 1081-1105 (2023). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{G. Li} and \textit{H. Qin}, Ramanujan J. 62, No. 4, 1081--1105 (2023; Zbl 07784982) Full Text: DOI
Majumdar, Dipramit; Shingavekar, Pratiksha Cube sum problem for integers having exactly two distinct prime factors. (English) Zbl 1528.11042 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 43, 22 p. (2023). MSC: 11G05 11F67 11D25 14H52 PDFBibTeX XMLCite \textit{D. Majumdar} and \textit{P. Shingavekar}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 43, 22 p. (2023; Zbl 1528.11042) Full Text: DOI arXiv
Klüners, Jürgen; Wang, Jiuya Idélic approach in enumerating Heisenberg extensions. (English) Zbl 07782557 Matematica 2, No. 4, 1022-1044 (2023). MSC: 11R29 11R45 11R16 11R32 PDFBibTeX XMLCite \textit{J. Klüners} and \textit{J. Wang}, Matematica 2, No. 4, 1022--1044 (2023; Zbl 07782557) Full Text: DOI
Tinková, Magdaléna On the Pythagoras number of the simplest cubic fields. (English) Zbl 07770418 Acta Arith. 208, No. 4, 325-354 (2023). Reviewer: Azizul Hoque (Allahabad) MSC: 11R16 11E25 11R80 PDFBibTeX XMLCite \textit{M. Tinková}, Acta Arith. 208, No. 4, 325--354 (2023; Zbl 07770418) Full Text: DOI arXiv
Shabani-Solt, Hassan; Sarlak, Amir On the rational parametric solution of diagonal quartic varieties. (English) Zbl 07766451 Math. Slovaca 73, No. 5, 1153-1162 (2023). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{H. Shabani-Solt} and \textit{A. Sarlak}, Math. Slovaca 73, No. 5, 1153--1162 (2023; Zbl 07766451) Full Text: DOI arXiv
Bremner, Andrew; Soydan, Gökhan Integers of a quadratic field with prescribed sum and product. (English) Zbl 07763129 Colloq. Math. 173, No. 1, 25-39 (2023). MSC: 11D25 11G05 11R11 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{G. Soydan}, Colloq. Math. 173, No. 1, 25--39 (2023; Zbl 07763129) Full Text: DOI
Pincus, David L.; Washington, Lawrence C. Relative ideal classes of arbitrary order. (English) Zbl 07760625 Ramanujan J. 62, No. 3, 819-842 (2023). Reviewer: Sophie Marques (Cape Town) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{D. L. Pincus} and \textit{L. C. Washington}, Ramanujan J. 62, No. 3, 819--842 (2023; Zbl 07760625) Full Text: DOI arXiv
El Fadil, Lhoussain On the index divisors and monogenity of number fields defined by \(x^5 + ax^3 + b\). (English) Zbl 07755241 Quaest. Math. 46, No. 11, 2355-2365 (2023). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Quaest. Math. 46, No. 11, 2355--2365 (2023; Zbl 07755241) Full Text: DOI
Dutto, Simone; Murru, Nadir On the cubic Pell equation over finite fields. (English) Zbl 07745968 Quaest. Math. 46, No. 10, 2109-2128 (2023). MSC: 11D25 11A07 PDFBibTeX XMLCite \textit{S. Dutto} and \textit{N. Murru}, Quaest. Math. 46, No. 10, 2109--2128 (2023; Zbl 07745968) Full Text: DOI arXiv
Ben Yakkou, H.; Boudine, B. On the index of the octic number field defined by \(x^8 + ax + b\). (English) Zbl 07745824 Acta Math. Hung. 170, No. 2, 585-607 (2023). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{H. Ben Yakkou} and \textit{B. Boudine}, Acta Math. Hung. 170, No. 2, 585--607 (2023; Zbl 07745824) Full Text: DOI
Djukanović, Martin; Top, Jaap A \(K3\) surface related to Leonardo Pisano’s work on congruent numbers. (English) Zbl 1525.14047 Expo. Math. 41, No. 3, 566-576 (2023). Reviewer: Noriko Yui (Kingston) MSC: 14J28 11D09 11G05 14J20 14J27 PDFBibTeX XMLCite \textit{M. Djukanović} and \textit{J. Top}, Expo. Math. 41, No. 3, 566--576 (2023; Zbl 1525.14047) Full Text: DOI
Yakkou, Hamid Ben On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\). (English) Zbl 07731139 Rocky Mt. J. Math. 53, No. 3, 685-699 (2023). Reviewer: Masanari Kida (Tōkyō) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{H. B. Yakkou}, Rocky Mt. J. Math. 53, No. 3, 685--699 (2023; Zbl 07731139) Full Text: DOI arXiv Link
Chems-Eddin, Mohamed Mahmoud; El Fadil, Lhoussain The 2-class group of certain families of imaginary triquadratic fields. (English) Zbl 1518.11075 Math. Slovaca 73, No. 4, 835-848 (2023). MSC: 11R18 11R29 11R11 11R16 11R27 PDFBibTeX XMLCite \textit{M. M. Chems-Eddin} and \textit{L. El Fadil}, Math. Slovaca 73, No. 4, 835--848 (2023; Zbl 1518.11075) Full Text: DOI
Gaál, István Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields. (English) Zbl 07722750 Acta Sci. Math. 89, No. 1-2, 3-12 (2023). MSC: 11R04 11R16 11Y50 PDFBibTeX XMLCite \textit{I. Gaál}, Acta Sci. Math. 89, No. 1--2, 3--12 (2023; Zbl 07722750) Full Text: DOI arXiv
Mine, Masahiro The value-distribution of Artin \(L\)-functions associated with cubic fields in conductor aspect. (English) Zbl 07720772 Math. Z. 304, No. 4, Paper No. 64, 54 p. (2023). MSC: 11R42 11R16 PDFBibTeX XMLCite \textit{M. Mine}, Math. Z. 304, No. 4, Paper No. 64, 54 p. (2023; Zbl 07720772) Full Text: DOI arXiv
Kazhdan, David; Polishchuk, Alexander Schmidt rank of quartics over perfect fields. (English) Zbl 1519.14049 Isr. J. Math. 255, No. 2, 851-869 (2023). Reviewer: Edoardo Ballico (Povo) MSC: 14N07 12E05 15A21 13A02 14R20 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{A. Polishchuk}, Isr. J. Math. 255, No. 2, 851--869 (2023; Zbl 1519.14049) Full Text: DOI arXiv
Tinková, Magdaléna Trace and norm of indecomposable integers in cubic orders. (English) Zbl 07720227 Ramanujan J. 61, No. 4, 1121-1144 (2023). Reviewer: Pavlo Yatsyna (Espoo) MSC: 11R16 11R80 PDFBibTeX XMLCite \textit{M. Tinková}, Ramanujan J. 61, No. 4, 1121--1144 (2023; Zbl 07720227) Full Text: DOI arXiv
Chems-Eddin, Mohamed Mahmoud; Hajjami, Moulay Ahmed; Taous, Mohammed Hilbert genus fields of some number fields with high degrees. (English) Zbl 1515.11110 Acta Math. Vietnam. 48, No. 2, 359-369 (2023). MSC: 11R16 11R29 11R27 11R04 11R37 PDFBibTeX XMLCite \textit{M. M. Chems-Eddin} et al., Acta Math. Vietnam. 48, No. 2, 359--369 (2023; Zbl 1515.11110) Full Text: DOI arXiv
Lartaux, Alexandre On the number of ideals whose norm is the value of a binary form of degree 3. (Sur le nombre d’idéaux dont la norme est la valeur d’une forme binaire de degré 3.) (French. English summary) Zbl 07693363 Q. J. Math. 74, No. 2, 471-510 (2023). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11N37 11E76 11R04 11R16 11R42 PDFBibTeX XMLCite \textit{A. Lartaux}, Q. J. Math. 74, No. 2, 471--510 (2023; Zbl 07693363) Full Text: DOI arXiv
Ghale, Vinodkumar; Das, Shamik; Chakraborty, Debopam A Heron triangle and a Diophantine equation. (English) Zbl 07692667 Period. Math. Hung. 86, No. 2, 503-537 (2023). MSC: 11D25 11G05 51M04 PDFBibTeX XMLCite \textit{V. Ghale} et al., Period. Math. Hung. 86, No. 2, 503--537 (2023; Zbl 07692667) Full Text: DOI
Lee, Jun Ho Prime-producing polynomials related to class number one problem of number fields. (English) Zbl 1525.11127 Bull. Korean Math. Soc. 60, No. 2, 315-323 (2023). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 11R11 11R16 11R29 PDFBibTeX XMLCite \textit{J. H. Lee}, Bull. Korean Math. Soc. 60, No. 2, 315--323 (2023; Zbl 1525.11127) Full Text: DOI
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). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R16 14G05 14G25 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Acta Arith. 207, No. 3, 217--234 (2023; Zbl 07683780) Full Text: DOI
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). Reviewer: Sungkon Chang (Savannah) MSC: 11G05 14J27 14J28 14H52 11D25 PDFBibTeX XMLCite \textit{T. Huang} et al., J. Théor. Nombres Bordx. 35, No. 1, 219--246 (2023; Zbl 07682960) Full Text: DOI arXiv
Box, Josha; Gajović, Stevan; Goodman, Pip Cubic and quartic points on modular curves using generalised symmetric Chabauty. (English) Zbl 1526.11030 Int. Math. Res. Not. 2023, No. 7, 5604-5659 (2023). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G18 11G30 11G35 14K20 PDFBibTeX XMLCite \textit{J. Box} et al., Int. Math. Res. Not. 2023, No. 7, 5604--5659 (2023; Zbl 1526.11030) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{G. Cherubini} and \textit{P. Yatsyna}, Discrete Comput. Geom. 69, No. 2, 338--348 (2023; Zbl 1506.11126) Full Text: DOI arXiv
El Fadil, Lhoussain; Gaál, István Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9. (English) Zbl 1516.11101 Tatra Mt. Math. Publ. 83, 61-86 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} and \textit{I. Gaál}, Tatra Mt. Math. Publ. 83, 61--86 (2023; Zbl 1516.11101) Full Text: DOI
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
Srinivas, K.; Subramani, M.; Sangale, Usha K. Euclidean algorithm in Galois quartic fields. (English) Zbl 1518.11073 Rend. Circ. Mat. Palermo (2) 72, No. 1, 1-7 (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 11R04 PDFBibTeX XMLCite \textit{K. Srinivas} et al., Rend. Circ. Mat. Palermo (2) 72, No. 1, 1--7 (2023; Zbl 1518.11073) Full Text: DOI arXiv
Dubickas, Artūras Additive groups with many unimodular elements. (English) Zbl 1520.11092 Bull. Iran. Math. Soc. 49, No. 1, Paper No. 3, 8 p. (2023). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R21 11R27 11R16 PDFBibTeX XMLCite \textit{A. Dubickas}, Bull. Iran. Math. Soc. 49, No. 1, Paper No. 3, 8 p. (2023; Zbl 1520.11092) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Sahmoudi} and \textit{M. E. Charkani}, Math. Bohem. 148, No. 1, 117--128 (2023; Zbl 07655817) 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
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
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 PDFBibTeX XMLCite \textit{E. Costa} et al., Res. Number Theory 9, No. 1, Paper No. 1, 32 p. (2023; Zbl 1507.11058) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{B. Dina} et al., Math. Comput. 92, No. 339, 349--383 (2023; Zbl 1507.14044) Full Text: DOI arXiv
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
El Fadil, Lhoussain On power integral bases for certain pure sextic fields. (English) Zbl 07801931 Bol. Soc. Parana. Mat. (3) 40, Paper No. 143, 7 p. (2022). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Bol. Soc. Parana. Mat. (3) 40, Paper No. 143, 7 p. (2022; Zbl 07801931) Full Text: DOI
Aparecido de Andrade, Antonio; Facini, Linara Stéfani; Esteves, Livea Cichito Algebraic integers of pure sextic extensions. (English) Zbl 1524.11187 J. Prime Res. Math. 18, No. 2, 112-124 (2022). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{A. Aparecido de Andrade} et al., J. Prime Res. Math. 18, No. 2, 112--124 (2022; Zbl 1524.11187) Full Text: Link
Kchit, O.; Choulli, H. On monogenity of certain pure number fields defined by \(x^{2^r\cdot 5^s\cdot 7^t}-m\). (English) Zbl 1515.11107 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S1-S9 (2022). MSC: 11R04 11R16 11R21 11Y50 11-02 PDFBibTeX XMLCite \textit{O. Kchit} and \textit{H. Choulli}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S1--S9 (2022; Zbl 1515.11107) Full Text: DOI
Gužvić, Tomislav; Roy, Bidisha Torsion subgroups of rational Mordell curves over some families of number fields. (English) Zbl 1524.11117 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 30, No. 2, 125-132 (2022). MSC: 11G05 11R16 11R21 14H52 PDFBibTeX XMLCite \textit{T. Gužvić} and \textit{B. Roy}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 30, No. 2, 125--132 (2022; Zbl 1524.11117) Full Text: arXiv
Duke, W. On elliptic curves and binary quartic forms. (English) Zbl 1519.11015 Int. Math. Res. Not. 2022, No. 23, 19078-19104 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11D25 11E76 11G05 11M41 14H52 PDFBibTeX XMLCite \textit{W. Duke}, Int. Math. Res. Not. 2022, No. 23, 19078--19104 (2022; Zbl 1519.11015) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Miskolc Math. Notes 23, No. 2, 1023--1036 (2022; Zbl 1503.11076) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. El Fadil}, São Paulo J. Math. Sci. 16, No. 2, 1063--1071 (2022; Zbl 1499.11317) Full Text: DOI
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 1518.11072 Forum Math. Sigma 10, Paper No. e80, 33 p. (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R16 11R42 11M26 11R47 11M50 PDFBibTeX XMLCite \textit{P. J. Cho} et al., Forum Math. Sigma 10, Paper No. e80, 33 p. (2022; Zbl 1518.11072) Full Text: DOI arXiv
Keliher, Daniel Enumerating \(D_4\) quartics and a Galois group bias over function fields. (English. French summary) Zbl 1511.11093 J. Théor. Nombres Bordx. 34, No. 2, 371-391 (2022). Reviewer: Peter Koymans (Ann Arbor) MSC: 11R45 11R11 11R16 11R58 PDFBibTeX XMLCite \textit{D. Keliher}, J. Théor. Nombres Bordx. 34, No. 2, 371--391 (2022; Zbl 1511.11093) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{R. G. Kulkarni}, Ann. Univ. Paedagog. Crac., Stud. Math. 355(21), 51--56 (2022; Zbl 1506.12002) Full Text: DOI
Gaál, István On the monogenity of certain binomial compositions. (English) Zbl 07602850 JP J. Algebra Number Theory Appl. 57, 1-16 (2022). Reviewer: Leonard Jones (Shippensburg) MSC: 11R04 11R09 11R16 11Y50 PDFBibTeX XMLCite \textit{I. Gaál}, JP J. Algebra Number Theory Appl. 57, 1--16 (2022; Zbl 07602850) Full Text: DOI
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 PDFBibTeX XMLCite \textit{V. Govindan} et al., Korean J. Math. 30, No. 2, 403--412 (2022; Zbl 1498.39028) Full Text: DOI
Huang, Bo; Peng, Linping; Cui, Yong On the number of limit cycles bifurcating from a quartic reversible center. (English) Zbl 1511.37059 Mediterr. J. Math. 19, No. 5, Paper No. 220, 26 p. (2022). Reviewer: Alois Steindl (Wien) MSC: 37G15 37C27 34C07 34C05 34C29 PDFBibTeX XMLCite \textit{B. Huang} et al., Mediterr. J. Math. 19, No. 5, Paper No. 220, 26 p. (2022; Zbl 1511.37059) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. El Fadil}, Commentat. Math. Univ. Carol. 63, No. 1, 11--19 (2022; Zbl 07584110) Full Text: DOI
Chan, Stephanie Integral points on the congruent number curve. (English) Zbl 1510.11091 Trans. Am. Math. Soc. 375, No. 9, 6675-6700 (2022). Reviewer: Michel Waldschmidt (Paris) MSC: 11D45 11G05 11D25 PDFBibTeX XMLCite \textit{S. Chan}, Trans. Am. Math. Soc. 375, No. 9, 6675--6700 (2022; Zbl 1510.11091) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Nguyen Xuan Tho}, Arch. Math. 119, No. 3, 269--277 (2022; Zbl 1506.11041) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. David} et al., Algebra Number Theory 16, No. 5, 1259--1326 (2022; Zbl 1508.11085) Full Text: DOI arXiv
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
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 PDFBibTeX XMLCite \textit{S. Kaur} and \textit{S. K. Khanduja}, Commun. Algebra 50, No. 10, 4401--4436 (2022; Zbl 1502.11107) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Desjardins} and \textit{R. Winter}, Adv. Math. 405, Article ID 108489, 20 p. (2022; Zbl 1491.14035) Full Text: DOI arXiv
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). Reviewer: Yong Zhang (Changsha) MSC: 11G05 11D25 11A15 PDFBibTeX XMLCite \textit{S. Das} and \textit{A. Saikia}, Rocky Mt. J. Math. 52, No. 2, 471--481 (2022; Zbl 07555148) Full Text: DOI Link
Stevenhagen, Peter Redei reciprocity, governing fields and negative Pell. (English) Zbl 1514.11073 Math. Proc. Camb. Philos. Soc. 172, No. 3, 627-654 (2022). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R11 11R37 11R16 PDFBibTeX XMLCite \textit{P. Stevenhagen}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 627--654 (2022; Zbl 1514.11073) Full Text: DOI arXiv
Ben Yakkou, H. On monogenity of certain number fields defined by \(x^8+ax+b\). (English) Zbl 1513.11177 Acta Math. Hung. 166, No. 2, 614-623 (2022). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{H. Ben Yakkou}, Acta Math. Hung. 166, No. 2, 614--623 (2022; Zbl 1513.11177) Full Text: DOI
Sadek, Mohammad; Yesin, Tuğba Divisibility by 2 on quartic models of elliptic curves and rational Diophantine \(D(q)\)-quintuples. (English) Zbl 1524.11120 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 139, 17 p. (2022). MSC: 11G05 11D09 PDFBibTeX XMLCite \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 1524.11120) Full Text: DOI arXiv
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
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 PDFBibTeX XMLCite \textit{V. A. Gaiko}, J. Math. Sci., New York 260, No. 5, 662--677 (2022; Zbl 1504.34063) 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
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
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
Juyal, Abhishek; Moody, Dustin Pairs of Heron and right triangles with a common area and a common perimeter. (English) Zbl 1524.11074 Publ. Math. Debr. 100, No. 3-4, 449-460 (2022). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{A. Juyal} and \textit{D. Moody}, Publ. Math. Debr. 100, No. 3--4, 449--460 (2022; Zbl 1524.11074) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J. Zhao} et al., Forum Math. 34, No. 2, 385--405 (2022; Zbl 1497.11090) Full Text: DOI arXiv
Azizi, Abdelmalek; Elmouhib, Fouad; Talbi, Mohamed 5-rank of ambiguous class groups of quintic Kummer extensions. (English) Zbl 1522.11117 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022). MSC: 11R29 11R16 11R18 11R27 PDFBibTeX XMLCite \textit{A. Azizi} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022; Zbl 1522.11117) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Y. Ouyang} and \textit{S. Zhang}, Acta Arith. 202, No. 2, 203 (2022; Zbl 1482.11082) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Llibre} et al., Ann. Mat. Pura Appl. (4) 201, No. 1, 37--55 (2022; Zbl 1497.37029) 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
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 PDFBibTeX XMLCite \textit{Y. Hirakawa} and \textit{Y. Shimizu}, Proc. Am. Math. Soc. 150, No. 5, 1821--1835 (2022; Zbl 1490.11039) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Kamel} et al., Commun. Algebra 50, No. 3, 1342--1362 (2022; Zbl 1490.11066) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. El Fadil}, Publ. Math. Debr. 100, No. 1--2, 219--231 (2022; Zbl 1499.11316) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Ahmadi} and \textit{A. S. Janfada}, Int. Electron. J. Algebra 31, 134--142 (2022; Zbl 1486.11046) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Krásenský}, Arch. Math. 118, No. 1, 39--48 (2022; Zbl 1491.11039) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Li} and \textit{S. Zhang}, Math. Z. 300, No. 1, 209--215 (2022; Zbl 1496.11134) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Nguyen Xuan Tho}, Bull. Aust. Math. Soc. 105, No. 1, 12--18 (2022; Zbl 1492.11071) Full Text: DOI Backlinks: MO
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
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 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Turk. J. Math. 45, No. 5, 2225--2247 (2021; Zbl 1497.11275) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{Nguyen Xuan Tho}, Ann. Math. Inform. 54, 141--146 (2021; Zbl 1487.11032) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 1525.11030 Ann. Henri Lebesgue 4, 227-250 (2021). Reviewer: Arthur Baragar (Las Vegas) MSC: 11D25 05C50 11F72 37P25 PDFBibTeX XMLCite \textit{M. de Courcy-Ireland} and \textit{M. Magee}, Ann. Henri Lebesgue 4, 227--250 (2021; Zbl 1525.11030) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{G. Hajdu} and \textit{L. Hajdu}, Acta Arith. 201, No. 2, 119--130 (2021; Zbl 1498.11194) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Byeon} and \textit{G. Han}, Proc. Japan Acad., Ser. A 97, No. 9, 73--75 (2021; Zbl 1487.11055)