El Fadil, Lhoussain; Kchit, Omar On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\). (English) Zbl 07796584 Ramanujan J. 63, No. 2, 451-482 (2024). MSC: 11R04 11Y40 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} and \textit{O. Kchit}, Ramanujan J. 63, No. 2, 451--482 (2024; Zbl 07796584) Full Text: DOI arXiv
El Fadil, Lhoussain; Kchit, Omar On monogenity of certain pure number fields defined by \(x^{2^r\cdot 7^s}-m\). (English) Zbl 07805696 Bol. Soc. Parana. Mat. (3) 41, Paper No. 138, 9 p. (2023). MSC: 11R04 11Y40 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} and \textit{O. Kchit}, Bol. Soc. Parana. Mat. (3) 41, Paper No. 138, 9 p. (2023; Zbl 07805696) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. El Fadil} and \textit{M. Faris}, Rev. Unión Mat. Argent. 65, No. 1, 197--211 (2023; Zbl 1524.11191) Full Text: DOI
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
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
El Fadil, Lhoussain On index and monogenity of certain number fields defined by trinomials. (English) Zbl 1524.11190 Math. Slovaca 73, No. 4, 861-870 (2023). MSC: 11R04 11R21 11Y40 PDFBibTeX XMLCite \textit{L. El Fadil}, Math. Slovaca 73, No. 4, 861--870 (2023; Zbl 1524.11190) Full Text: DOI arXiv
El Fadil, Lhoussain On common index divisor and monogenity of certain number fields defined by trinomials \(X^6 + AX + B\). (English) Zbl 07727198 Quaest. Math. 46, No. 8, 1609-1627 (2023). Reviewer: Azizul Hoque (Allahabad) MSC: 11R04 11Y40 11R09 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Quaest. Math. 46, No. 8, 1609--1627 (2023; Zbl 07727198) 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 PDFBibTeX XMLCite \textit{L. El Fadil} et al., Acta Math. Vietnam. 48, No. 2, 283--293 (2023; Zbl 1515.11104) Full Text: DOI
Kchit, Omar On index divisors and non-monogenity of certain quintic number fields defined by \(x^5 + ax^m + bx + c\). (English) Zbl 07700040 Commun. Algebra 51, No. 8, 3172-3181 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R21 PDFBibTeX XMLCite \textit{O. Kchit}, Commun. Algebra 51, No. 8, 3172--3181 (2023; Zbl 07700040) Full Text: DOI
Kchit, Omar A note on monogenity of certain pure number fields defined by \(x^{p^r} - a\) with non-square-free parameter. (English) Zbl 07693585 Mosc. J. Comb. Number Theory 12, No. 2, 147-164 (2023). MSC: 11R04 11Y40 11R21 PDFBibTeX XMLCite \textit{O. Kchit}, Mosc. J. Comb. Number Theory 12, No. 2, 147--164 (2023; Zbl 07693585) Full Text: DOI
Jakhar, Anuj; Kaur, Sumandeep; Kumar, Surender On non-monogenity of the number fields defined by certain quadrinomials. (English) Zbl 1525.11124 Commun. Algebra 51, No. 6, 2448-2459 (2023). Reviewer: Nikolai L. Manev (Sofia) MSC: 11R04 11R21 PDFBibTeX XMLCite \textit{A. Jakhar} et al., Commun. Algebra 51, No. 6, 2448--2459 (2023; Zbl 1525.11124) Full Text: DOI
El Fadil, Lhoussain; Kchit, Omar On index divisors and monogenity of certain septic number fields defined by \(x^7 + ax^3 + b\). (English) Zbl 1522.11108 Commun. Algebra 51, No. 6, 2349-2363 (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 11R04 11Y40 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} and \textit{O. Kchit}, Commun. Algebra 51, No. 6, 2349--2363 (2023; Zbl 1522.11108) Full Text: DOI
Faris, Mohamed; El Fadil, Lhoussain On the geometric determination of extensions of non-Archimedean absolute values. (English) Zbl 1512.12001 Tatra Mt. Math. Publ. 83, 87-102 (2023). MSC: 12E25 12E99 13A18 PDFBibTeX XMLCite \textit{M. Faris} and \textit{L. El Fadil}, Tatra Mt. Math. Publ. 83, 87--102 (2023; Zbl 1512.12001) Full Text: DOI
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
El Fadil, Lhoussain A generalization of Eisenstein-Schönemann’s irreducibility criterion. (English) Zbl 1506.11140 Tatra Mt. Math. Publ. 83, 51-60 (2023). MSC: 11R09 11S05 13A18 PDFBibTeX XMLCite \textit{L. El Fadil}, Tatra Mt. Math. Publ. 83, 51--60 (2023; Zbl 1506.11140) 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
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
El Fadil, Lhoussain; Najim, Ahmed On monogenity of certain pure number fields defined by \(x^{2^u\cdot 3^v} -m\). (English) Zbl 07672121 Acta Sci. Math. 88, No. 3-4, 581-594 (2022). Reviewer: István Gaál (Debrecen) MSC: 11R04 11Y40 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} and \textit{A. Najim}, Acta Sci. Math. 88, No. 3--4, 581--594 (2022; Zbl 07672121) Full Text: DOI
Jakhar, Anuj; Kaur, Sumandeep; Kumar, Surender Common index divisor of the number fields defined by \(x^5+ax+b\). (English) Zbl 1516.11102 Proc. Edinb. Math. Soc., II. Ser. 65, No. 4, 1147-1161 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R21 PDFBibTeX XMLCite \textit{A. Jakhar} et al., Proc. Edinb. Math. Soc., II. Ser. 65, No. 4, 1147--1161 (2022; Zbl 1516.11102) Full Text: DOI
Yakkou, Hamid Ben; El Fadil, Lhoussain On monogenity of certain number fields defined by trinomials. (English) Zbl 1515.11108 Funct. Approximatio, Comment. Math. 67, No. 2, 199-221 (2022). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 11R04 11R21 PDFBibTeX XMLCite \textit{H. B. Yakkou} and \textit{L. El Fadil}, Funct. Approximatio, Comment. Math. 67, No. 2, 199--221 (2022; Zbl 1515.11108) Full Text: DOI arXiv Link
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
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
Guàrdia, Jordi; Nart, Enric Square-free OM computation of global integral bases. (English) Zbl 1512.11079 Algebra Number Theory 16, No. 6, 1327-1376 (2022). Reviewer: James E. Carter (Charleston) MSC: 11R04 11Y40 PDFBibTeX XMLCite \textit{J. Guàrdia} and \textit{E. Nart}, Algebra Number Theory 16, No. 6, 1327--1376 (2022; Zbl 1512.11079) Full Text: DOI arXiv
Jakhar, Anuj Explicit integral basis of \(\mathbb{Q}(\sqrt[p_1 p_2]{a})\). (English) Zbl 1504.11114 J. Number Theory 240, 254-271 (2022). Reviewer: Wolfgang A. Schmid (Paris) MSC: 11R04 11R29 PDFBibTeX XMLCite \textit{A. Jakhar}, J. Number Theory 240, 254--271 (2022; Zbl 1504.11114) Full Text: DOI
El Fadil, Lhoussain On power integral bases of certain pure number fields defined by \(x^{3^r\cdot 7^s}-m\). (English) Zbl 1512.11078 Colloq. Math. 169, No. 2, 307-317 (2022). Reviewer: Azizul Hoque (Allahabad) MSC: 11R04 11Y40 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Colloq. Math. 169, No. 2, 307--317 (2022; Zbl 1512.11078) Full Text: DOI
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
Poteaux, Adrien; Weimann, Martin A quasi-linear irreducibility test in \(\mathbb{K}[[x]][y]\). (English) Zbl 1494.13033 Comput. Complexity 31, No. 1, Paper No. 6, 52 p. (2022). Reviewer: Amir Hashemi (Isfahan) MSC: 13P05 14H20 14B05 68W30 11S05 PDFBibTeX XMLCite \textit{A. Poteaux} and \textit{M. Weimann}, Comput. Complexity 31, No. 1, Paper No. 6, 52 p. (2022; Zbl 1494.13033) 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
El Fadil, Lhoussain On common index divisors and monogenity of certain number fields defined by \(x^5 + ax^2 + b\). (English) Zbl 1512.11077 Commun. Algebra 50, No. 7, 3102-3112 (2022). Reviewer: Azizul Hoque (Allahabad) MSC: 11R04 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Commun. Algebra 50, No. 7, 3102--3112 (2022; Zbl 1512.11077) Full Text: DOI arXiv
Jakhar, Anuj Nonmonogenity of number fields defined by trinomials. (English) Zbl 1493.11146 New York J. Math. 28, 650-658 (2022). Reviewer: Sudesh Kaur Khanduja (Sahibzada Ajit Singh Nagar) MSC: 11R04 PDFBibTeX XMLCite \textit{A. Jakhar}, New York J. Math. 28, 650--658 (2022; Zbl 1493.11146) Full Text: Link
Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj On the discriminant of pure number fields. (English) Zbl 1491.11099 Colloq. Math. 167, No. 1, 149-157 (2022). Reviewer: Jordi Guárdia (Vilanova i la Geltrú) MSC: 11R04 11R29 PDFBibTeX XMLCite \textit{A. Jakhar} et al., Colloq. Math. 167, No. 1, 149--157 (2022; Zbl 1491.11099) Full Text: DOI arXiv
Darkey-Mensah, Mawunyo Kofi; Rothkegel, Beata Computing the length of sum of squares and Pythagoras element in a global field. (English) Zbl 1490.11120 Fundam. Inform. 184, No. 4, 297-306 (2021). Reviewer: Alar Leibak (Tallinn) MSC: 11Y16 11Y40 11E12 PDFBibTeX XMLCite \textit{M. K. Darkey-Mensah} and \textit{B. Rothkegel}, Fundam. Inform. 184, No. 4, 297--306 (2021; Zbl 1490.11120) Full Text: DOI arXiv
El Fadil, Lhoussain On power integral bases for certain pure number fields defined by \(x^{2\cdot 3^k}-m\). (English) Zbl 1491.11098 Acta Arith. 201, No. 3, 269-280 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R21 11Y40 PDFBibTeX XMLCite \textit{L. El Fadil}, Acta Arith. 201, No. 3, 269--280 (2021; Zbl 1491.11098) Full Text: DOI
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 PDFBibTeX XMLCite \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
Ben Yakkou, Hamid; Chillali, Abdelhakim; El Fadil, Lhoussain On power integral bases for certain pure number fields defined by \(x^{2^r.5^s}-m\). (English) Zbl 1471.11260 Commun. Algebra 49, No. 7, 2916-2926 (2021). MSC: 11R04 11R16 11Y50 PDFBibTeX XMLCite \textit{H. Ben Yakkou} et al., Commun. Algebra 49, No. 7, 2916--2926 (2021; Zbl 1471.11260) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. El Fadil}, J. Number Theory 228, 375--389 (2021; Zbl 1479.11182) Full Text: DOI arXiv
El Fadil, Lhoussain Prime ideal factorization in a number field via Newton polygons. (English) Zbl 07361083 Czech. Math. J. 71, No. 2, 529-543 (2021). MSC: 11Y05 11Y40 11S05 PDFBibTeX XMLCite \textit{L. El Fadil}, Czech. Math. J. 71, No. 2, 529--543 (2021; Zbl 07361083) Full Text: DOI
Moraes de Oliveira, Nathália; Nart, Enric Computation of residual polynomial operators of inductive valuations. (English) Zbl 1471.13010 J. Pure Appl. Algebra 225, No. 9, Article ID 106668, 31 p. (2021). Reviewer: Ali Benhissi (Monastir) MSC: 13A18 12J20 14E15 PDFBibTeX XMLCite \textit{N. Moraes de Oliveira} and \textit{E. Nart}, J. Pure Appl. Algebra 225, No. 9, Article ID 106668, 31 p. (2021; Zbl 1471.13010) Full Text: DOI arXiv
El Fadil, Lhoussain Factorization of polynomials over valued fields based on graded polynomials. (English) Zbl 1482.12006 Math. Slovaca 70, No. 4, 807-814 (2020). Reviewer: Ali Benhissi (Monastir) MSC: 12J10 11S05 11S15 13A18 PDFBibTeX XMLCite \textit{L. El Fadil}, Math. Slovaca 70, No. 4, 807--814 (2020; Zbl 1482.12006) Full Text: DOI
El Fadil, Lhoussain On Newton polygons techniques and factorization of polynomials over Henselian fields. (English) Zbl 1446.13004 J. Algebra Appl. 19, No. 10, Article ID 2050188, 9 p. (2020). MSC: 13A18 PDFBibTeX XMLCite \textit{L. El Fadil}, J. Algebra Appl. 19, No. 10, Article ID 2050188, 9 p. (2020; Zbl 1446.13004) Full Text: DOI
El Fadil, Lhoussain On prolongations of rank one discrete valuations. (English) Zbl 1524.13022 Commentat. Math. Univ. Carol. 60, No. 3, 299-304 (2019). MSC: 13A18 11S15 12J10 PDFBibTeX XMLCite \textit{L. El Fadil}, Commentat. Math. Univ. Carol. 60, No. 3, 299--304 (2019; Zbl 1524.13022) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{T. A. Gassert} et al., J. Number Theory 197, 361--382 (2019; Zbl 1410.11050) Full Text: DOI arXiv
Kim, Kwang-Seob; Miller, John C. Class numbers of large degree nonabelian number fields. (English) Zbl 1469.11435 Math. Comput. 88, No. 316, 973-981 (2019). MSC: 11R29 11R21 11Y40 PDFBibTeX XMLCite \textit{K.-S. Kim} and \textit{J. C. Miller}, Math. Comput. 88, No. 316, 973--981 (2019; Zbl 1469.11435) Full Text: DOI arXiv
Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj On factorization of polynomials in Henselian valued fields. (English) Zbl 1430.12011 Commun. Algebra 46, No. 7, 3205-3221 (2018). Reviewer: Kevin Keating (Gainesville) MSC: 12J25 12J10 12E05 11S05 PDFBibTeX XMLCite \textit{A. Jakhar} et al., Commun. Algebra 46, No. 7, 3205--3221 (2018; Zbl 1430.12011) Full Text: DOI
Koprowski, Przemysław; Czogała, Alfred Computing with quadratic forms over number fields. (English) Zbl 1398.11157 J. Symb. Comput. 89, 129-145 (2018). MSC: 11Y16 11E81 PDFBibTeX XMLCite \textit{P. Koprowski} and \textit{A. Czogała}, J. Symb. Comput. 89, 129--145 (2018; Zbl 1398.11157) Full Text: DOI arXiv
Stainsby, Hayden D. Triangular bases of integral closures. (English) Zbl 1432.11181 J. Symb. Comput. 87, 140-175 (2018). MSC: 11Y40 13B22 PDFBibTeX XMLCite \textit{H. D. Stainsby}, J. Symb. Comput. 87, 140--175 (2018; Zbl 1432.11181) Full Text: DOI arXiv Link
Nart, Enric On the equivalence of types. (English. French summary) Zbl 1409.11101 J. Théor. Nombres Bordx. 28, No. 3, 743-771 (2016). MSC: 11S05 13A18 11Y40 PDFBibTeX XMLCite \textit{E. Nart}, J. Théor. Nombres Bordx. 28, No. 3, 743--771 (2016; Zbl 1409.11101) Full Text: DOI arXiv
Bauch, Jens-Dietrich Computation of integral bases. (English) Zbl 1349.13041 J. Number Theory 165, 382-407 (2016). Reviewer: Mihai Cipu (Bucureşti) MSC: 13F05 13P10 11R04 PDFBibTeX XMLCite \textit{J.-D. Bauch}, J. Number Theory 165, 382--407 (2016; Zbl 1349.13041) Full Text: DOI arXiv
Gassert, Thomas Alden Discriminants of simplest \(3^n\)-tic extensions. (English) Zbl 1388.11075 Funct. Approximatio, Comment. Math. 53, No. 2, 193-214 (2015). MSC: 11R21 11R29 PDFBibTeX XMLCite \textit{T. A. Gassert}, Funct. Approximatio, Comment. Math. 53, No. 2, 193--214 (2015; Zbl 1388.11075) Full Text: DOI arXiv Euclid
Fernández, Julio; Guàrdia, Jordi; Montes, Jesús; Nart, Enric Residual ideals of MacLane valuations. (English) Zbl 1317.13006 J. Algebra 427, 30-75 (2015). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13A18 13J10 12J10 11S05 PDFBibTeX XMLCite \textit{J. Fernández} et al., J. Algebra 427, 30--75 (2015; Zbl 1317.13006) Full Text: DOI arXiv
Guàrdia, Jordi; Montes, Jesús; Nart, Enric Higher Newton polygons and integral bases. (English) Zbl 1394.11071 J. Number Theory 147, 549-589 (2015). MSC: 11R04 11Y40 14G15 14H05 PDFBibTeX XMLCite \textit{J. Guàrdia} et al., J. Number Theory 147, 549--589 (2015; Zbl 1394.11071) Full Text: DOI
Bauch, Jens-Dietrich Genus computation of global function fields. (English) Zbl 1295.11141 J. Symb. Comput. 66, 8-20 (2015). MSC: 11Y40 11R58 PDFBibTeX XMLCite \textit{J.-D. Bauch}, J. Symb. Comput. 66, 8--20 (2015; Zbl 1295.11141) Full Text: DOI arXiv
Gassert, T. Alden Discriminants of Chebyshev radical extensions. (English) Zbl 1360.11117 J. Théor. Nombres Bordx. 26, No. 3, 607-633 (2014). MSC: 11R29 11R04 PDFBibTeX XMLCite \textit{T. A. Gassert}, J. Théor. Nombres Bordx. 26, No. 3, 607--633 (2014; Zbl 1360.11117) Full Text: DOI arXiv
Monge, Maurizio A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields. (English) Zbl 1318.11155 Int. J. Number Theory 10, No. 7, 1699-1727 (2014). Reviewer: Kevin Keating (Gainesville) MSC: 11S15 11S05 11S31 11Y40 PDFBibTeX XMLCite \textit{M. Monge}, Int. J. Number Theory 10, No. 7, 1699--1727 (2014; Zbl 1318.11155) Full Text: DOI arXiv
Nart, Enric Local computation of differents and discriminants. (English) Zbl 1330.11082 Math. Comput. 83, No. 287, 1513-1534 (2014). MSC: 11Y40 11R04 11S05 PDFBibTeX XMLCite \textit{E. Nart}, Math. Comput. 83, No. 287, 1513--1534 (2014; Zbl 1330.11082) Full Text: DOI arXiv
Bauch, Jens-Dietrich; Nart, Enric; Stainsby, Hayden D. Complexity of OM factorizations of polynomials over local fields. (English) Zbl 1343.11099 LMS J. Comput. Math. 16, 139-171 (2013). MSC: 11Y40 11Y05 12J10 13F30 13P15 PDFBibTeX XMLCite \textit{J.-D. Bauch} et al., LMS J. Comput. Math. 16, 139--171 (2013; Zbl 1343.11099) Full Text: DOI arXiv
Guàrdia, Jordi; Montes, Jesús; Nart, Enric A new computational approach to ideal theory in number fields. (English) Zbl 1287.11142 Found. Comput. Math. 13, No. 5, 729-762 (2013). Reviewer: Kevin Keating (Gainesville) MSC: 11Y40 11R09 11R04 11Y05 11R27 11R29 PDFBibTeX XMLCite \textit{J. Guàrdia} et al., Found. Comput. Math. 13, No. 5, 729--762 (2013; Zbl 1287.11142) Full Text: DOI arXiv Link
Khanduja, Sudesh K.; Kumar, Sanjeev On prolongations of valuations via Newton polygons and liftings of polynomials. (English) Zbl 1267.12004 J. Pure Appl. Algebra 216, No. 12, 2648-2656 (2012). Reviewer: Ali Benhissi (Monastir) MSC: 12J10 12J25 12E05 PDFBibTeX XMLCite \textit{S. K. Khanduja} and \textit{S. Kumar}, J. Pure Appl. Algebra 216, No. 12, 2648--2656 (2012; Zbl 1267.12004) Full Text: DOI
El Fadil, Lhoussain; Montes, Jesús; Nart, Enric Newton polygons and \(p\)-integral bases of quartic number fields. (English) Zbl 1297.11134 J. Algebra Appl. 11, No. 4, Article ID 1250073, 33 p. (2012). Reviewer: Ali Benhissi (Monastir) MSC: 11R04 11S15 PDFBibTeX XMLCite \textit{L. El Fadil} et al., J. Algebra Appl. 11, No. 4, Article ID 1250073, 33 p. (2012; Zbl 1297.11134) Full Text: DOI arXiv
Greve, Christian; Pauli, Sebastian Ramification polygons, splitting fields, and Galois groups of Eisenstein polynomials. (English) Zbl 1286.11201 Int. J. Number Theory 8, No. 6, 1401-1424 (2012). MSC: 11S15 11S20 PDFBibTeX XMLCite \textit{C. Greve} and \textit{S. Pauli}, Int. J. Number Theory 8, No. 6, 1401--1424 (2012; Zbl 1286.11201) Full Text: DOI
Guàrdia, Jordi; Nart, Enric; Pauli, Sebastian Single-factor lifting and factorization of polynomials over local fields. (English) Zbl 1262.11106 J. Symb. Comput. 47, No. 11, 1318-1346 (2012). Reviewer: Kevin Keating (Gainesville) MSC: 11Y40 11S15 11Y16 11S05 PDFBibTeX XMLCite \textit{J. Guàrdia} et al., J. Symb. Comput. 47, No. 11, 1318--1346 (2012; Zbl 1262.11106) Full Text: DOI arXiv
Guàrdia, Jordi; Montes, Jesús; Nart, Enric Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. (English. French summary) Zbl 1266.11131 J. Théor. Nombres Bordx. 23, No. 3, 667-696 (2011). Reviewer: Kevin Keating (Gainesville) MSC: 11Y40 11R09 11R29 11S15 11S05 11R04 PDFBibTeX XMLCite \textit{J. Guàrdia} et al., J. Théor. Nombres Bordx. 23, No. 3, 667--696 (2011; Zbl 1266.11131) Full Text: DOI arXiv EuDML
Nart, Enric Okutsu-Montes representations of prime ideals of one-dimensional integral closures. (English) Zbl 1248.11107 Publ. Mat., Barc. 55, No. 2, 261-294 (2011). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11Y40 11Y05 11R04 PDFBibTeX XMLCite \textit{E. Nart}, Publ. Mat., Barc. 55, No. 2, 261--294 (2011; Zbl 1248.11107) Full Text: DOI Euclid
Pauli, Sebastian Factoring polynomials over local fields. II. (English) Zbl 1260.12005 Hanrot, Guillaume (ed.) et al., Algorithmic number theory. 9th international symposium, ANTS-IX, Nancy, France, July 19–23, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14517-9/pbk). Lecture Notes in Computer Science 6197, 301-315 (2010). MSC: 12Y05 12E05 11S05 PDFBibTeX XMLCite \textit{S. Pauli}, Lect. Notes Comput. Sci. 6197, 301--315 (2010; Zbl 1260.12005) Full Text: DOI
Ford, David; Veres, Olga On the complexity of the Montes ideal factorization algorithm. (English) Zbl 1260.11085 Hanrot, Guillaume (ed.) et al., Algorithmic number theory. 9th international symposium, ANTS-IX, Nancy, France, July 19–23, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14517-9/pbk). Lecture Notes in Computer Science 6197, 174-185 (2010). MSC: 11Y16 11Y05 PDFBibTeX XMLCite \textit{D. Ford} and \textit{O. Veres}, Lect. Notes Comput. Sci. 6197, 174--185 (2010; Zbl 1260.11085) Full Text: DOI