Ben Yakkou, H. On common index divisors and monogenity of septic number fields defined by trinomials of type \(x^7 + ax^2 + b\). (English) Zbl 07857904 Acta Math. Hung. 172, No. 2, 378-399 (2024). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 11R21 11Y40 × Cite Format Result Cite Review PDF Full Text: DOI
Evertse, Jan-Hendrik Orders with few rational monogenizations. (English) Zbl 1536.11168 Acta Arith. 210, 307-335 (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 11R04 11D61 11J87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Fadil, Lhoussain; Faris, Mohamed On power integral bases of certain pure number fields defined by \(x^{84}-m\). (English) Zbl 1524.11191 Rev. Unión Mat. Argent. 65, No. 1, 197-211 (2023). MSC: 11R04 11Y40 11R21 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bhargava, Manjul; Evertse, Jan-Hendrik; Győry, Kálmán; Remete, László; Swaminathan, Ashvin A. Hermite equivalence of polynomials. (English) Zbl 1534.11034 Acta Arith. 209, 17-58 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Fadil, Lhoussain; Choulli, Hanan; Kchit, Omar On monogenity of certain pure number fields defined by \(x^{60} - m\). (English) Zbl 1515.11104 Acta Math. Vietnam. 48, No. 2, 283-293 (2023). MSC: 11R04 11Y40 11R21 × Cite Format Result Cite Review PDF Full Text: DOI
Arpin, Sarah; Bozlee, Sebastian; Herr, Leo; Smith, Hanson The scheme of monogenic generators. I: Representability. (English) Zbl 1524.11188 Res. Number Theory 9, No. 1, Paper No. 14, 33 p. (2023). MSC: 11R04 14D20 13E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO MO
Bugeaud, Yann (ed.); Corvaja, Pietro (ed.); DeMarco, Laura (ed.); Habegger, Philipp (ed.) Diophantine approximations. Abstracts from the workshop held April 17–23, 2022. (Diophantische Approximationen.) (English) Zbl 1519.00014 Oberwolfach Rep. 19, No. 2, 1091-1164 (2022). MSC: 00B05 00B25 11-06 11Jxx 11Gxx 37P55 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. A family of monogenic \(S_4\) quartic fields arising from elliptic curves. (English) Zbl 1410.11050 J. Number Theory 197, 361-382 (2019). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R04 11R16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Smith, Hanson Two families of monogenic \(S_4\) quartic number fields. (English) Zbl 1417.11150 Acta Arith. 186, No. 3, 257-271 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R09 11R16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv