Gallardo, Luis H. Artin-Schreier, Erdős, and Kurepa’s conjecture. (English) Zbl 07765607 Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 555(27), 111-121 (2023). MSC: 11T55 11T06 11B73 11B65 05A10 12E20 11A07 11A25 PDF BibTeX XML Cite \textit{L. H. Gallardo}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 555(27), 111--121 (2023; Zbl 07765607) Full Text: DOI
Charalambous, Hara; Karagiannis, Kostas; Kontogeorgis, Aristides The relative canonical ideal of the Kummer-Artin Schreier-Witt family of curves. (L’idéal canonique relatif de la famille de courbes de Kummer-Artin Schreier-Witt.) (English. French summary) Zbl 1519.14028 Ann. Inst. Fourier 73, No. 3, 1085-1113 (2023). Reviewer: Bernhard Köck (Southampton) MSC: 14H10 14F10 14D15 14H37 PDF BibTeX XML Cite \textit{H. Charalambous} et al., Ann. Inst. Fourier 73, No. 3, 1085--1113 (2023; Zbl 1519.14028) Full Text: DOI arXiv
Gallardo, Luis Bell numbers and Kurepa’s conjecture. (English) Zbl 07613682 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 76, No. 1, 17-23 (2022). MSC: 11B73 11B65 11T55 PDF BibTeX XML Cite \textit{L. Gallardo}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 76, No. 1, 17--23 (2022; Zbl 07613682) Full Text: DOI
Kuhlmann, Franz-Viktor Valued fields with finitely many defect extensions of prime degree. (English) Zbl 1491.13009 J. Algebra Appl. 21, No. 3, Article ID 2250049, 18 p. (2022). Reviewer: Gerard Leloup (Le Mans) MSC: 13A18 12J10 PDF BibTeX XML Cite \textit{F.-V. Kuhlmann}, J. Algebra Appl. 21, No. 3, Article ID 2250049, 18 p. (2022; Zbl 1491.13009) Full Text: DOI arXiv
Elder, G. Griffith; Keating, Kevin Refined ramification breaks in characteristic \(p\). (English) Zbl 1454.11212 Acta Arith. 192, No. 4, 371-395 (2020). Reviewer: Günter Lettl (Graz) MSC: 11S15 11S23 20C11 PDF BibTeX XML Cite \textit{G. G. Elder} and \textit{K. Keating}, Acta Arith. 192, No. 4, 371--395 (2020; Zbl 1454.11212) Full Text: DOI arXiv
Oi, Masao On ramifications of Artin-Schreier extensions of surfaces over algebraically closed fields of positive characteristic. II. (English) Zbl 1335.14007 J. Algebra 426, 365-376 (2015). Reviewer: Federico Buonerba (New York) MSC: 14G17 14E22 11S15 14E20 13B05 PDF BibTeX XML Cite \textit{M. Oi}, J. Algebra 426, 365--376 (2015; Zbl 1335.14007) Full Text: DOI arXiv
Oi, Masao On ramifications of Artin-Schreier extensions of surfaces over algebraically closed fields of positive characteristic. I. (English) Zbl 1409.14043 JSIAM Lett. 6, 33-36 (2014). MSC: 14G17 11S15 14E20 14E22 PDF BibTeX XML Cite \textit{M. Oi}, JSIAM Lett. 6, 33--36 (2014; Zbl 1409.14043) Full Text: DOI
Milliet, Cédric Fine groups. (Groupes fins.) (French. English summary) Zbl 1353.03021 J. Symb. Log. 79, No. 4, 1120-1132 (2014). MSC: 03C45 03C60 03C40 20A15 PDF BibTeX XML Cite \textit{C. Milliet}, J. Symb. Log. 79, No. 4, 1120--1132 (2014; Zbl 1353.03021) Full Text: DOI
Gallardo, Luis H.; Rahavandrainy, Olivier Bell numbers modulo a prime number, traces and trinomials. (English) Zbl 1353.11046 Electron. J. Comb. 21, No. 4, Research Paper P4.49, 30 p. (2014). MSC: 11B73 05A10 11T06 11T55 PDF BibTeX XML Cite \textit{L. H. Gallardo} and \textit{O. Rahavandrainy}, Electron. J. Comb. 21, No. 4, Research Paper P4.49, 30 p. (2014; Zbl 1353.11046) Full Text: Link
Keating, Kevin Indices of inseparability for elementary abelian \(p\)-extensions. (English) Zbl 1286.11202 J. Number Theory 136, 233-251 (2014). Reviewer: Chun-Gang Ji (Nanjing) MSC: 11S15 11S20 PDF BibTeX XML Cite \textit{K. Keating}, J. Number Theory 136, 233--251 (2014; Zbl 1286.11202) Full Text: DOI arXiv
Milliet, Cédric Fields with few types. (English) Zbl 1309.03015 J. Symb. Log. 78, No. 1, 72-84 (2013). MSC: 03C45 03C60 12L12 PDF BibTeX XML Cite \textit{C. Milliet}, J. Symb. Log. 78, No. 1, 72--84 (2013; Zbl 1309.03015) Full Text: DOI arXiv Euclid Link
Maldonado-Ramírez, Myriam; Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel Genus fields of abelian extensions of rational congruence function fields. (English) Zbl 1285.11140 Finite Fields Appl. 20, 40-54 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R58 11R37 11R60 PDF BibTeX XML Cite \textit{M. Maldonado-Ramírez} et al., Finite Fields Appl. 20, 40--54 (2013; Zbl 1285.11140) Full Text: DOI arXiv
Gallardo, Luis H.; Rahavandrainy, Olivier On splitting perfect polynomials over \(\mathbb F_{p^p}\). (English) Zbl 1254.11113 Int. Electron. J. Algebra 9, 85-102 (2011). Reviewer: L. N. Vaserstein (University Park) MSC: 11T55 11T06 PDF BibTeX XML Cite \textit{L. H. Gallardo} and \textit{O. Rahavandrainy}, Int. Electron. J. Algebra 9, 85--102 (2011; Zbl 1254.11113) Full Text: Link
Ito, Hiroyuki; Kajiwara, Takeshi; Song, Huiling A tower of Artin-Schreier extensions of finite fields and its applications. (English) Zbl 1269.11124 JP J. Algebra Number Theory Appl. 22, No. 2, 111-125 (2011). MSC: 11Y16 11T30 11A51 PDF BibTeX XML Cite \textit{H. Ito} et al., JP J. Algebra Number Theory Appl. 22, No. 2, 111--125 (2011; Zbl 1269.11124) Full Text: Link
Wu, Qingquan; Scheidler, Renate The ramification groups and different of a compositum of Artin-Schreier extensions. (English) Zbl 1225.11148 Int. J. Number Theory 6, No. 7, 1541-1564 (2010). Reviewer: Jing Long Hoelscher (Chicago) MSC: 11R58 14H05 11R20 14H45 PDF BibTeX XML Cite \textit{Q. Wu} and \textit{R. Scheidler}, Int. J. Number Theory 6, No. 7, 1541--1564 (2010; Zbl 1225.11148) Full Text: DOI
Hu, Su; Li, Yan The genus fields of Artin-Schreier extensions. (English) Zbl 1203.11076 Finite Fields Appl. 16, No. 4, 255-264 (2010). Reviewer: Alexey Zykin (Moskva) MSC: 11R58 11R29 11R37 PDF BibTeX XML Cite \textit{S. Hu} and \textit{Y. Li}, Finite Fields Appl. 16, No. 4, 255--264 (2010; Zbl 1203.11076) Full Text: DOI arXiv
Garcia, Arnaldo; Stichtenoth, Henning Some Artin-Schreier towers are easy. (English) Zbl 1124.11053 Mosc. Math. J. 5, No. 4, 767-774 (2005). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 11R58 14H05 11D59 14G15 PDF BibTeX XML Cite \textit{A. Garcia} and \textit{H. Stichtenoth}, Mosc. Math. J. 5, No. 4, 767--774 (2005; Zbl 1124.11053)
Miyamoto, Roland; Top, Jaap Reduction of elliptic curves in equal characteristic 3 (and 2). (English) Zbl 1100.11018 Can. Math. Bull. 48, No. 3, 428-444 (2005). Reviewer: Robert F. Lax (Baton Rouge) MSC: 11G07 11G05 14H52 14H25 PDF BibTeX XML Cite \textit{R. Miyamoto} and \textit{J. Top}, Can. Math. Bull. 48, No. 3, 428--444 (2005; Zbl 1100.11018) Full Text: DOI
Abdón, Miriam; Torres, Fernando On \(F_{q^2}\)-maximal curves of genus \(\frac{1}{6}(q-3)q\). (English) Zbl 1073.11043 Beitr. Algebra Geom. 46, No. 1, 241-260 (2005). Reviewer: Robert F. Lax (Baton Rouge) MSC: 11G20 14G05 14G10 PDF BibTeX XML Cite \textit{M. Abdón} and \textit{F. Torres}, Beitr. Algebra Geom. 46, No. 1, 241--260 (2005; Zbl 1073.11043) Full Text: EuDML EMIS
Abdón, Miriam; Garcia, Arnaldo On a characterization of certain maximal curves. (English) Zbl 1046.11045 Finite Fields Appl. 10, No. 2, 133-158 (2004). Reviewer: Robert F. Lax (Baton Rouge) MSC: 11G20 14G15 14H25 PDF BibTeX XML Cite \textit{M. Abdón} and \textit{A. Garcia}, Finite Fields Appl. 10, No. 2, 133--158 (2004; Zbl 1046.11045) Full Text: DOI
Beelen, P. H. T.; Doumen, J. M. Pseudorandom sequences from elliptic curves. (English) Zbl 1059.11044 Mullen, Gary L. (ed.) et al., Finite fields with applications to coding theory, cryptography and related areas. Proceedings of the 6th international conference on finite fields and applications, Oaxaca, México, May 21–25, 2001. Berlin: Springer (ISBN 3-540-43961-7/hbk). 37-52 (2002). MSC: 11K45 14H52 11L05 11L40 PDF BibTeX XML Cite \textit{P. H. T. Beelen} and \textit{J. M. Doumen}, in: Finite fields with applications to coding theory, cryptography and related areas. Proceedings of the 6th international conference on finite fields and applications, Oaxaca, México, May 21--25, 2001. Berlin: Springer. 37--52 (2002; Zbl 1059.11044)
Niederreiter, Harald; Xing, Chaoping Rational points on curves over finite fields. Theory and Applications. (English) Zbl 0971.11033 London Mathematical Society Lecture Note Series. 285. Cambridge: Cambridge University Press. x, 245 p. (2001). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11G20 11-02 11R58 11R37 14G05 94B27 11K45 14H25 14G15 94A60 PDF BibTeX XML Cite \textit{H. Niederreiter} and \textit{C. Xing}, Rational points on curves over finite fields. Theory and Applications. Cambridge: Cambridge University Press (2001; Zbl 0971.11033)
Roquette, Peter Exponential sums. The estimate of Hasse-Davenport-Weil. (English) Zbl 0926.11087 Mat. Contemp. 14, 129-161 (1998). Reviewer: Peter Shiu (Loughborough) MSC: 11R58 11L07 11-01 PDF BibTeX XML Cite \textit{P. Roquette}, Mat. Contemp. 14, 129--161 (1998; Zbl 0926.11087)
Garcia, Arnaldo; Stichtenoth, Henning On the asymptotic behaviour of some towers of function fields over finite fields. (English) Zbl 0893.11047 J. Number Theory 61, No. 2, 248-273 (1996). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11R58 11G20 14G15 14H25 94B27 PDF BibTeX XML Cite \textit{A. Garcia} and \textit{H. Stichtenoth}, J. Number Theory 61, No. 2, 248--273 (1996; Zbl 0893.11047) Full Text: DOI
Garcia, Arnaldo; Stichtenoth, Henning A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound. (English) Zbl 0822.11078 Invent. Math. 121, No. 1, 211-222 (1995). Reviewer: H.Stichtenoth (Essen) MSC: 11R58 94B27 PDF BibTeX XML Cite \textit{A. Garcia} and \textit{H. Stichtenoth}, Invent. Math. 121, No. 1, 211--222 (1995; Zbl 0822.11078) Full Text: DOI EuDML
Kambayashi, T. On the Galois embedding problem for \(p\)-extensions in characteristic \(p\). (English) Zbl 0768.12003 J. Algebra 154, No. 2, 499-506 (1993). Reviewer: J.N.Mordeson (Omaha) MSC: 12F10 PDF BibTeX XML Cite \textit{T. Kambayashi}, J. Algebra 154, No. 2, 499--506 (1993; Zbl 0768.12003) Full Text: DOI
Berthelot, Pierre Cohomologie rigide et théorie de Dwork: Le cas des sommes exponentielles. (French) Zbl 0577.14013 Cohomologie p-adique, Astérisque 119/120, 17-49 (1984). Reviewer: F.Herrlich MSC: 14F30 14F40 14G20 PDF BibTeX XML
Brinkhuis, Jan \(K_ 2\) and Galois extensions of fields. (English) Zbl 0525.18009 Algebraic \(K\)-theory, number theory, geometry and analysis, Proc. int. Conf., Bielefeld/Ger. 1982, Lect. Notes Math. 1046, 13-28 (1984). MSC: 18F25 12F10 11R70 12F20 PDF BibTeX XML
Brylinski, Jean-Luc Théorie du corps de classes de Kato et revêtements abéliens de surfaces. (French) Zbl 0524.12008 Ann. Inst. Fourier 33, No. 3, 23-38 (1983). MSC: 11S70 13K05 11S31 14H30 14J20 PDF BibTeX XML Cite \textit{J.-L. Brylinski}, Ann. Inst. Fourier 33, No. 3, 23--38 (1983; Zbl 0524.12008) Full Text: DOI Numdam EuDML
Lomadze, V. G. On the ramification theory of two-dimensional local fields. (English) Zbl 0442.12013 Math. USSR, Sb. 37, 349-365 (1980). MSC: 11S15 11S70 11S31 PDF BibTeX XML Cite \textit{V. G. Lomadze}, Math. USSR, Sb. 37, 349--365 (1980; Zbl 0442.12013) Full Text: DOI
Lomadze, V. G. On the ramification theory of two dimensional local fields. (Russian) Zbl 0421.12018 Mat. Sb., N. Ser. 109(151), 378-394 (1979). MSC: 11S15 11S70 11S31 PDF BibTeX XML Cite \textit{V. G. Lomadze}, Mat. Sb., Nov. Ser. 109(151), 378--394 (1979; Zbl 0421.12018) Full Text: EuDML