Bibliography

  • [Bia]
    Preprint

    Number field sieve to compute Class groups

    J. Biasse

  • [FF]
    Conference

    On reconstruction of algebraic numbers

    C. Fieker, C. Friedrichs

    pp. 285–296
  • [Poh]
    Conference

    Computational Aspects of Kummer Theory

    Michael E. Pohst

    pp. 259–272
  • [Tra76]
    Conference

    Algebraic factoring and rational function integration

    Barry M. Trager

    In Proc. SYMSAC '76pp. 196–2081976
  • [Gar80]
    Article

    An Algorithm for finding an algebraic number whose norm is a given rational number

    Dennis A. Garbanati

    J. reine angew. Math.Vol. 316pp. 1–131980
  • [Fin84]
    PhD Thesis

    (untitled)

    Ulrich Fincke

    Heinrich-Heine-Universität Düsseldorf1984
  • [GS89]
    Article

    Computing all power integral bases of cubic fields

    Istvan Gaál, Nicole Schulte

    Math. Comp.Vol. 53pp. 689–6961989
  • [PZ89]
    Book

    Algorithmic Algebraic Number Theory

    Michael E. Pohst, Hans Zassenhaus

    Cambridge University Press1989
  • [Coh93]
    Book

    A Course in Computational Algebraic Number Theory

    Henri Cohen

    SpringerVol. 1381993
  • [GPP93]
    Article

    On the resolution of index form equations in quartic number fields

    Istvan Gaál, Attila Petho, Michael E. Pohst

    J. Symbolic Comp.Vol. 16pp. 563–5841993
  • [Jur93]
    PhD Thesis

    Über die Berechnung von Lösungen relativer Normgleichungen in algebraischen Zahlkörpern

    Andreas Jurk

    Heinrich-Heine-Universität Düsseldorf1993
  • [Poh93]
    Book

    Computational Algebraic Number Theory

    M. Pohst

    Birkhaeuser1993
  • [BL94c]
    Article

    Approximating rings of integers in number fields

    Johannes A. Buchmann, Hendrik W. Lenstra jr

    J. Théor. Nombres Bordx.Vol. 6(2)pp. 221–2601994
  • [Bai96]
    Master's Thesis

    Zum Round 4 Algorithmus

    Georg Baier

    Technische Universität Berlin1996
  • [BH96]
    Article

    Solving Thue Equations of High Degree

    Yuri Bilu, Guillaume Hanrot

    J. Number Th.Vol. 60pp. 373–3921996
  • [GPP96]
    Article

    Simultaneous representation of integers by a pair of ternary quadratic forms -- With an application to index form equations in quartic number fields

    Istvan Gaál, Attila Petho, Michael E. Pohst

    J. Number Th.Vol. 57pp. 90–1041996
  • [Hes96]
    Master's Thesis

    Zur Klassengruppenberechnung in algebraischen Zahlkörpern

    Florian Heß

    Technische Universität Berlin1996
  • [FJP97]
    Article

    On solving relative norm equations in algebraic number fields.

    C. Fieker, A. Jurk, M. Pohst

    Math. Comput. Vol. 66(217)pp. 399–4101997
  • [Fie97]
    PhD Thesis

    Über relative Normgleichungen in algebraischen Zahlkörpern

    Claus Fieker

    Technische Universität Berlin1997
  • [Fri97]
    Master's Thesis

    Berechnung relativer Ganzheitsbasen mit dem Round-2-Algorithmus

    Carsten Friedrichs

    Technische Universität Berlin1997
  • [Wil97]
    PhD Thesis

    Über das Lösen von Einheiten- und Indexformgleichungen in algebraischen Zahlkörpern mit einer Anwendung auf die Bestimmung aller ganzen Punkte einer Mordellschen Kurve

    Klaus Wildanger

    Technische Universität Berlin1997
  • [KAN97]
    Article

    KANT V4

    KANT Group

    J. Symbolic Comp.Vol. 24(3--4)pp. 267–3831997
  • [Coh00]
    Book

    Advanced Topics in Computational Number Theory

    Henri Cohen

    Springer2000
  • [Fri00]
    PhD Thesis

    Berechnung von Maximalordnungen über Dedekindringen

    Carsten Friedrichs

    Technische Universität Berlin2000
  • [Wil00]
    Article

    Über das Lösen von Einheiten- und Indexformgleichungen in algebraischen Zahlkörpern. (On the solution of units and index form equations in algebraic number fields).

    Klaus Wildanger

    J. Number Th.Vol. 2(82)pp. 188–2242000
  • [KAN00]
    Preprint

    The Number Theory Package KANT/KASH

    KANT Group

    2000
  • [Sim02]
    Article

    Solving norm equations in relative number fields using $S$-units.

    D. Simon

    Math. Comput. Vol. 71(239)pp. 1287–13052002
  • [Ber05]
    Article

    Factoring into coprimes in essentially linear time

    Daniel J. Bernstein

    J. of AlgorithmsVol. 54(1)pp. 1–302005
  • [PK05]
    Article

    Computing residue class rings and Picard groups of orders

    Sebastian Pauli, Jüren Klüners

    J. of AlgebraVol. 292pp. 47–642005
  • [GNP12]
    Article

    Single-factor lifting and factorization of polynomials over local fields

    DOI

    Jordi Guàrdia, Enric Nart, Sebastian Pauli

    Journal of Symbolic ComputationVol. 47(11)pp. 1318–13462012
  • [Sut12]
    Article

    Efficient Computation of Maximal Orders of Radical (including Kummer) Extensions

    DOI

    Nicole Sutherland

    Journal of Symbolic ComputationVol. 47(5)pp. 552–5672012
  • [GMN13]
    Article

    A New Computational Approach to Ideal Theory in Number Fields

    DOI

    J. Guàrdia, J. Montes, E. Nart

    Foundations of Computational MathematicsVol. 13(5)pp. 729–7622013
  • [BF15]
    Article

    Computing the residue of the Dedekind zeta function

    DOIMR

    K. Belabas, E. Friedman

    Math. Comp.Vol. 84(291)pp. 357–3692015
  • [Sta18]
    Article

    Triangular bases of integral closures

    DOIMR

    H. D. Stainsby

    J. Symbolic Comput.Vol. 87pp. 140–1752018
  • [Mul25]
    Article

    Fast square-free decomposition of integers using class groups

    DOIMR

    E. Mulder

    Res. Number TheoryVol. 11(1)pp. Paper No. 9, 212025