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). Reviewer: Maciej Ulas (Kraków) 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
Costa Marques, Fernando; Pombo, Dinamérico P. jun. Rational solutions of certain Diophantine equations. 2nd edition. (Soluções racionais de certas equações Diofantinas.) (Portuguese) Zbl 07765425 Textos de Matemática (Rio de Janeiro). Rio de Janeiro: Editora Instituto de Matemática, Universidade Federal do Rio de Janeiro (ISBN 978-65-86502-02-2). 37 p. (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11D25 11D41 11-01 11D88 PDFBibTeX XMLCite \textit{F. Costa Marques} and \textit{D. P. Pombo jun.}, Soluções racionais de certas equações Diofantinas (Portuguese). 2nd edition. Rio de Janeiro: Editora Instituto de Matemática, Universidade Federal do Rio de Janeiro (2023; Zbl 07765425)
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
Higa, Riku; Hirakawa, Yoshinosuke Galois trace forms of type \(A_{n}, D_{n}, E_{n}\) for odd \(n\). arXiv:2307.06612 Preprint, arXiv:2307.06612 [math.NT] (2023). MSC: 11E12 11E20 11R16 11R80 17B22 BibTeX Cite \textit{R. Higa} and \textit{Y. Hirakawa}, ``Galois trace forms of type $A_{n}, D_{n}, E_{n}$ for odd $n$'', Preprint, arXiv:2307.06612 [math.NT] (2023) Full Text: arXiv OA License
David, Chantal; Meisner, Patrick Expected Values of \(L\)-functions Away from the Central Point. arXiv:2305.15120 Preprint, arXiv:2305.15120 [math.NT] (2023). MSC: 11M06 11M38 11R16 11R58 BibTeX Cite \textit{C. David} and \textit{P. Meisner}, ``Expected Values of $L$-functions Away from the Central Point'', Preprint, arXiv:2305.15120 [math.NT] (2023) Full Text: arXiv OA License
Ogawa, Hajime; Aoki, Miho Galois module structure of algebraic integers of the simplest cubic field. arXiv:2305.08888 Preprint, arXiv:2305.08888 [math.NT] (2023). MSC: 11R04 11R16 11C08 11R80 BibTeX Cite \textit{H. Ogawa} and \textit{M. Aoki}, ``Galois module structure of algebraic integers of the simplest cubic field'', Preprint, arXiv:2305.08888 [math.NT] (2023) Full Text: arXiv OA License
Chen, Ruikai; Mesnager, Sihem Trinomial Planar Functions on Cubic and Quartic Extensions of Finite Fields. arXiv:2303.09229 Preprint, arXiv:2303.09229 [math.NT] (2023). MSC: 11R32 12E10 11G20 11R11 11R16 11T06 12E10 51E15 BibTeX Cite \textit{R. Chen} and \textit{S. Mesnager}, ``Trinomial Planar Functions on Cubic and Quartic Extensions of Finite Fields'', Preprint, arXiv:2303.09229 [math.NT] (2023) Full Text: arXiv OA License
Halbeisen, Lorenz; Hungerbuehler, Norbert Halving formulae for points on elliptic curves. arXiv:2302.00568 Preprint, arXiv:2302.00568 [math.NT] (2023). MSC: 11G05 94A60 11R16 BibTeX Cite \textit{L. Halbeisen} and \textit{N. Hungerbuehler}, ``Halving formulae for points on elliptic curves'', Preprint, arXiv:2302.00568 [math.NT] (2023) Full Text: arXiv OA License
Kala, Vítězslav Universal quadratic forms and indecomposables in number fields: A survey. arXiv:2301.13222 Preprint, arXiv:2301.13222 [math.NT] (2023). MSC: 11A55 11E12 11E20 11E25 11H06 11H55 11R04 11R11 11R16 11R21 11R80 BibTeX Cite \textit{V. Kala}, ``Universal quadratic forms and indecomposables in number fields: A survey'', Preprint, arXiv:2301.13222 [math.NT] (2023) Full Text: DOI arXiv OA License
Jha, Somnath; Majumdar, Dipramit; Sury, B. Binary Cubic Forms and Rational Cube Sum Problem. arXiv:2301.06970 Preprint, arXiv:2301.06970 [math.NT] (2023). MSC: 11D25 11N32 11N13 11G05 BibTeX Cite \textit{S. Jha} et al., ``Binary Cubic Forms and Rational Cube Sum Problem'', Preprint, arXiv:2301.06970 [math.NT] (2023) Full Text: arXiv OA License