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
Leprévost, Franck; Pohst, Michael; Uzunkol, Osmanbey On the computation of class polynomials with “thetanullwerte“ and its applications to the unit group computation. (English) Zbl 1269.11059 Exp. Math. 20, No. 3, 271-281 (2011). MSC: 11G15 11Y35 PDFBibTeX XMLCite \textit{F. Leprévost} et al., Exp. Math. 20, No. 3, 271--281 (2011; Zbl 1269.11059) Full Text: DOI Euclid
Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence Computation of 2-groups of narrow logarithmic divisor classes of number fields. (English) Zbl 1176.11068 J. Symb. Comput. 44, No. 7, 852-863 (2009). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11Y40 11R70 PDFBibTeX XMLCite \textit{J.-F. Jaulent} et al., J. Symb. Comput. 44, No. 7, 852--863 (2009; Zbl 1176.11068) Full Text: DOI arXiv
Fieker, Claus; Pohst, Michael E. A lower regulator bound for number fields. (English) Zbl 1215.11124 J. Number Theory 128, No. 10, 2767-2775 (2008). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11Y40 11R29 11R27 PDFBibTeX XMLCite \textit{C. Fieker} and \textit{M. E. Pohst}, J. Number Theory 128, No. 10, 2767--2775 (2008; Zbl 1215.11124) Full Text: DOI
Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence Computation of 2-groups of positive classes of exceptional number fields. (English) Zbl 1201.11106 J. Théor. Nombres Bordx. 20, No. 3, 715-732 (2008). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R70 11Y40 11R29 PDFBibTeX XMLCite \textit{J.-F. Jaulent} et al., J. Théor. Nombres Bordx. 20, No. 3, 715--732 (2008; Zbl 1201.11106) Full Text: DOI arXiv Numdam EuDML
Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. (English) Zbl 1148.11060 Exp. Math. 14, No. 1, 65-74 (2005). MSC: 11Y40 11R70 11R29 PDFBibTeX XMLCite \textit{F. Diaz y Diaz} et al., Exp. Math. 14, No. 1, 65--74 (2005; Zbl 1148.11060) Full Text: DOI arXiv Euclid EuDML
Heß, Florian; Pauli, Sebastian; Pohst, Michael E. Computing the multiplicative group of residue class rings. (English) Zbl 1013.11073 Math. Comput. 72, No. 243, 1531-1548 (2003). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R29 11Y40 11Y16 11R37 PDFBibTeX XMLCite \textit{F. Heß} et al., Math. Comput. 72, No. 243, 1531--1548 (2003; Zbl 1013.11073) Full Text: DOI
Pohst, Michael E. From class groups to class fields. (English) Zbl 1015.11068 Matzat, B. Heinrich (ed.) et al., Algorithmic algebra and number theory. Selected papers from a conference, Heidelberg, Germany, October 1997. Berlin: Springer. 103-119 (1999). Reviewer: Harvey Cohn (San Diego) MSC: 11Y40 11-02 11R37 11R29 PDFBibTeX XMLCite \textit{M. E. Pohst}, in: Algorithmic algebra and number theory. Selected papers from a conference, Heidelberg, Germany, October 1997. Berlin: Springer. 103--119 (1999; Zbl 1015.11068)
Daberkow, M.; Pohst, M. On the computation of Hilbert class fields. (English) Zbl 0910.11058 J. Number Theory 69, No. 2, 213-230 (1998). Reviewer: H.Cohn (Bowie) MSC: 11Y40 11R37 PDFBibTeX XMLCite \textit{M. Daberkow} and \textit{M. Pohst}, J. Number Theory 69, No. 2, 213--230 (1998; Zbl 0910.11058) Full Text: DOI
Pohst, M.; Wildanger, K. Tables of unit groups and class groups of quintic fields and a regulator bound. (English) Zbl 0957.11058 Math. Comput. 67, No. 221, 361-367 (1998). MSC: 11Y40 11R27 11R29 11R21 PDFBibTeX XMLCite \textit{M. Pohst} and \textit{K. Wildanger}, Math. Comput. 67, No. 221, 361--367 (1998; Zbl 0957.11058) Full Text: DOI
Klüners, Jürgen; Pohst, Michael On computing subfields. (English) Zbl 0886.11072 J. Symb. Comput. 24, No. 3-4, 385-397 (1997). Reviewer: Harvey Cohn (Bowie) MSC: 11Y40 12Y05 68W30 11R32 11R37 PDFBibTeX XMLCite \textit{J. Klüners} and \textit{M. Pohst}, J. Symb. Comput. 24, No. 3--4, 385--397 (1997; Zbl 0886.11072) Full Text: DOI
Daberkow, M.; Fieker, C.; Klüners, J.; Pohst, M.; Roegner, K.; Schörnig, M.; Wildanger, K. KANT V4. (English) Zbl 0886.11070 J. Symb. Comput. 24, No. 3-4, 267-283 (1997). Reviewer: Harvey Cohn (Bowie) MSC: 11Y40 11Y16 68W30 PDFBibTeX XMLCite \textit{M. Daberkow} et al., J. Symb. Comput. 24, No. 3--4, 267--283 (1997; Zbl 0886.11070) Full Text: DOI Link
Pohst, M. E. Computational aspects of Kummer theory. (English) Zbl 0894.11051 Cohen, Henri (ed.), Algorithmic number theory. Second international symposium, ANTS-II, Talence, France, May 18-23, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1122, 259-272 (1996). Reviewer: I.Gaál (Debrecen) MSC: 11Y40 11-02 PDFBibTeX XMLCite \textit{M. E. Pohst}, Lect. Notes Comput. Sci. 1122, 259--272 (1996; Zbl 0894.11051)
Daberkow, M.; Pohst, M. E. On computing Hilbert class fields of prime degree. (English) Zbl 0899.11062 Cohen, Henri (ed.), Algorithmic number theory. Second international symposium, ANTS-II, Talence, France, May 18-23, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1122, 67-74 (1996). Reviewer: R.P.Steiner (Bowling Green) MSC: 11Y40 11R37 PDFBibTeX XMLCite \textit{M. Daberkow} and \textit{M. E. Pohst}, Lect. Notes Comput. Sci. 1122, 67--74 (1996; Zbl 0899.11062)
Pohst, Michael E. Computing invariants of algebraic number fields. (English) Zbl 0892.11040 Zimmer, Horst G. (ed.), Group theory, algebra, and number theory. Colloquium in memory of Hans Zassenhaus, Saarbrücken, Germany, June 4–5, 1993. Berlin: de Gruyter. 53-73 (1996). Reviewer: H.Cohn (Bowie) MSC: 11Y40 11R29 11R32 11R27 PDFBibTeX XMLCite \textit{M. E. Pohst}, in: Group theory, algebra, and number theory. Colloquium in memory of Hans Zassenhaus, Saarbrücken, Germany, June 4--5, 1993. Berlin: de Gruyter. 53--73 (1996; Zbl 0892.11040)
Daberkow, M.; Pohst, M. Computations with relative extensions of number fields with an application to the construction of Hilbert class fields. (English) Zbl 0930.11089 Levelt, A. H. M. (ed.), Proceedings of the 1995 international symposium on symbolic and algebraic computation, ISSAC ’95, Montreal, Canada, July 10–12, 1995. New York, NY: ACM Press. 68-76 (1995). Reviewer: H.Cohn (Bowie) MSC: 11Y40 11R37 PDFBibTeX XMLCite \textit{M. Daberkow} and \textit{M. Pohst}, in: Proceedings of the 1995 international symposium on symbolic and algebraic computation, ISSAC '95, Montreal, Canada, July 10--12, 1995. New York, NY: ACM Press. 68--76 (1995; Zbl 0930.11089)
Buchmann, J.; Pohst, M.; Graf von Schmettow, J. On unit groups and class groups of quartic fields and signature (2,1). (English) Zbl 0788.11061 Math. Comput. 62, No. 205, 387-390 (1994). MSC: 11Y40 11-04 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{J. Buchmann} et al., Math. Comput. 62, No. 205, 387--390 (1994; Zbl 0788.11061) Full Text: DOI
Pohst, Michael E. Computational algebraic number theory. (English) Zbl 0817.11063 DMV Seminar. 21. Basel: Birkhäuser. 88 p. (1993). Reviewer: H.J.Godwin (Egham) MSC: 11Y40 11-02 11Rxx 11A41 11H06 11R27 11R29 PDFBibTeX XMLCite \textit{M. E. Pohst}, Computational algebraic number theory. Basel: Birkhäuser (1993; Zbl 0817.11063)
Ford, David; Pohst, Michael The totally real \(A_ 6\) extension of degree 6 with minimum discriminant. (English) Zbl 0799.11052 Exp. Math. 2, No. 3, 231-232 (1993). MSC: 11R29 11R21 11R80 11Y40 PDFBibTeX XMLCite \textit{D. Ford} and \textit{M. Pohst}, Exp. Math. 2, No. 3, 231--232 (1993; Zbl 0799.11052) Full Text: DOI EuDML EMIS
Pohst, M.; Graf von Schmettow, J. On the computation of unit groups and class groups of totally complex quartic fields. (English) Zbl 0778.11077 Math. Comput. 60, No. 202, 793-800 (1993). Reviewer: H.Cohn (New York) MSC: 11Y40 11-04 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{M. Pohst} and \textit{J. Graf von Schmettow}, Math. Comput. 60, No. 202, 793--800 (1993; Zbl 0778.11077) Full Text: DOI
Ford, David; Pohst, Michael The totally real \(A_ 5\) extension of degree 6 with minimum discriminant. (English) Zbl 0773.11067 Exp. Math. 1, No. 3, 231-235 (1992). Reviewer: H.Cohn (New York) MSC: 11R29 11R80 11Y40 11R21 PDFBibTeX XMLCite \textit{D. Ford} and \textit{M. Pohst}, Exp. Math. 1, No. 3, 231--235 (1992; Zbl 0773.11067) Full Text: DOI EuDML EMIS
Gaál, I.; Pethö, A.; Pohst, M. On the resolution of index form equations in biquadratic number fields. I. (English) Zbl 0726.11022 J. Number Theory 38, No. 1, 18-34 (1991). Reviewer: J.-H.Evertse (Leiden) MSC: 11D99 11R16 11R37 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} et al., J. Number Theory 38, No. 1, 18--34 (1991; Zbl 0726.11022) Full Text: DOI
Halbritter, U.; Pohst, M. On the computation of the values of zeta functions of totally real cubic fields. (English) Zbl 0727.11050 J. Number Theory 36, No. 3, 266-288 (1990). Reviewer: J.Hinz (Marburg) MSC: 11R42 11R16 11Y40 11R80 11-04 PDFBibTeX XMLCite \textit{U. Halbritter} and \textit{M. Pohst}, J. Number Theory 36, No. 3, 266--288 (1990; Zbl 0727.11050) Full Text: DOI
Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco The minimum discriminant of totally real octic fields. (English) Zbl 0719.11079 J. Number Theory 36, No. 2, 145-159 (1990). MSC: 11R80 11R29 11R27 PDFBibTeX XMLCite \textit{M. Pohst} et al., J. Number Theory 36, No. 2, 145--159 (1990; Zbl 0719.11079) Full Text: DOI
Buchmann, J.; Pohst, M.; Schmettow, J.v. On the computation of unit groups and class groups of totally real quartic fields. (English) Zbl 0714.11002 Math. Comput. 53, No. 187, 387-397 (1989). Reviewer: M.D.Hendy MSC: 11-04 11R16 11Y40 11R27 11R29 11R80 PDFBibTeX XMLCite \textit{J. Buchmann} et al., Math. Comput. 53, No. 187, 387--397 (1989; Zbl 0714.11002) Full Text: DOI
Buchmann, J.; Pohst, M. On the complexity of computing class groups of algebraic number fields. (English) Zbl 0695.12001 Applied algebra, algebraic algorithms and error-correcting codes, Proc. 6th Int. Conference, AAECC-6, Rome/Italy 1988, Lect. Notes Comput. Sci. 357, 122-130 (1989). Reviewer: F.J.van der Linden MSC: 12-04 11R23 68Q25 PDFBibTeX XML
Pohst, M. E. Three principal tasks of computational algebraic number theory. (English) Zbl 0694.12002 Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 123-133 (1989). Reviewer: A.Pethö MSC: 12-04 11R27 11R23 PDFBibTeX XML
Pohst, M.; Zassenhaus, Hans Algorithmic algebraic number theory. (English) Zbl 0685.12001 Encyclopedia of Mathematics and its Applications, 30. Cambridge etc.: Cambridge University Press. xiv, 465 p. £50.00; $ 89.56 (1989). Reviewer: F. J. van der Linden (Eindhoven) MSC: 11-02 11Yxx 11Y40 11Rxx 11R21 11R27 11R29 11R32 11H55 PDFBibTeX XMLCite \textit{M. Pohst} and \textit{H. Zassenhaus}, Algorithmic algebraic number theory. Cambridge etc.: Cambridge University Press (1989; Zbl 0685.12001)
Pohst, Michael On methods of the geometry of numbers in constructive algebraic number theory. (Über zahlengeometrische Methoden in der konstruktiven algebraischen Zahlentheorie.) (German) Zbl 0634.12001 Ber. Math.-Stat. Sekt. Forschungszent. Joanneum 270, 23 p. (1986). Reviewer: J. Buchmann (Saarbrücken) MSC: 11Y40 11R27 11R29 11Y16 11P21 11D57 PDFBibTeX XML
Pohst, Michael; Zassenhaus, Hans Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper. (German) Zbl 0559.12003 J. Reine Angew. Math. 361, 50-72 (1985). MSC: 11R23 13F05 PDFBibTeX XMLCite \textit{M. Pohst} and \textit{H. Zassenhaus}, J. Reine Angew. Math. 361, 50--72 (1985; Zbl 0559.12003) Full Text: DOI Crelle EuDML
Pohst, M. On constructive methods in algebraic number theory. (English) Zbl 0547.12005 Topics in classical number theory, Colloq. Budapest 1981, Vol. II, Colloq. Math. Soc. János Bolyai 34, 1251-1263 (1984). Reviewer: C.Levesque MSC: 11R27 11R23 12-04 PDFBibTeX XML
Pohst, Michael On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. (English) Zbl 0478.12005 J. Number Theory 14, 99-117 (1982). MSC: 11R29 11R21 11Y40 PDFBibTeX XMLCite \textit{M. Pohst}, J. Number Theory 14, 99--117 (1982; Zbl 0478.12005) Full Text: DOI
Pohst, M.; Zassenhaus, Hans On unit computation in real quadratic fields. (English) Zbl 0425.12004 Symbolic and algebraic computation, EUROSAM ’79, int. Symp., Marseille 1979, Lect. Notes Comput. Sci. 72, 140-152 (1979). Reviewer: Henri Cohen (Talence) MSC: 11Y40 11R27 11R29 11R11 PDFBibTeX XML
Pohst, M. Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern. (German) Zbl 0302.12004 Computing 14, 67-78 (1975). MSC: 11R27 11R29 11R80 11R16 PDFBibTeX XMLCite \textit{M. Pohst}, Computing 14, 67--78 (1975; Zbl 0302.12004) Full Text: DOI
Pohst, Michael Mehrklassige Geschlechter von Einheitsformen in total reellen algebraischen Zahlkörpern. (German) Zbl 0277.12003 J. Reine Angew. Math. 262-263, 420-435 (1973). Reviewer: Hideo Yokoi MSC: 11R11 11R29 11E16 11E41 PDFBibTeX XMLCite \textit{M. Pohst}, J. Reine Angew. Math. 262--263, 420--435 (1973; Zbl 0277.12003) Full Text: DOI Crelle EuDML