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Publications

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Publications

  • Jean-François Biasse, Claus Fieker, Tommy Hofmann (2016).
    On the computation of the HNF of a module over the ring of integers of a number field.
    JSC. in press,
    [www] [BibTex]

  • Jean-François Biasse, Claus Fieker, Mike Jacobson Jr (2016).
    Fast heuristic algorithms for computing relations in the class group of a quadratic order with applications to isogeny evaluation.
    LMS J. Comput. Math.. 19A, 371-390.
    [doi] [BibTex]

  • Janko Böhm, Wolfram Decker, Claus Fieker, Gerhard Pfister (2015).
    The use of bad primes in rational reconstruction.
    Math. Comput.. 84, 3013-3027.
    [doi] [BibTex]

  • Dereje Kifle Boku and Wolfram Decker and Claus Fieker and Andreas Steenpass (2015).
    Gröbner Bases over Algebraic Number Fields.
    ACM ICPS. 16-24.
    [doi] [BibTex]

  • Claus Fieker (2015).
    Appendix to Denominators of algebraic numbers in a number field by M. Ayad, A. Bayad and O. Kihel.
    J. Num. Thy.. 149, 1-14.
    [BibTex]

  • Claus Fieker, Jürgen Klüners (2014).
    Computation of Galois groups of rational polynomials.
    LMS J. Comput. Math.. 17, 141-158.
    [doi] [BibTex]

  • Claus Fieker, Tommy Hofmann (2014).
    Computing in quotients of rings of integers.
    LMS J. Comput. Math.. 17A, 349-365.
    [doi] [BibTex]

  • Jean-François Biasse, Claus Fieker (2014).
    Subexponential class group and unit group computation in large deg ree number fields.
    LMS J. Comput. Math.. 17A, 385-403.
    [doi] [BibTex]

  • Fieker, Claus and Gaál, István and Pohst, Michael (2013).
    On computing integral points of a Mordell curve over rational function fields in characteristic $>3$.
    J. Number Theory. 133, (2), 738--750. (2994384)
    [doi] [www] [BibTex]

  • Claus Fieker, M. M. Gehringer, L. Adler, A. A. Roberts, M. C. Moffitt, T. K. Mihali, T. J. Mills, B. A. Neilan (2012).
    Nodularin, a cynaobacterial toxin, is synthesized in plants by symbiotic Nostoc sp..
    The ISME Journal. (6), 1834-1847.
    [doi] [BibTex]

  • Claus Fieker and Jean-François Biasse (2012).
    Improved techniques for computing the ideal class group and the unit group of a number field.
    Kiran S. Kedlaya (eds.) Proceedings of the ANTS-X conference. Mathematical Science Publishers: (http://math.ucsd.edu/~kedlaya/ants10/paper-biasse.html)
    [BibTex]

  • Vincent Ducet, Claus Fieker (2012).
    Computing equations of curves with many points.
    Kiran S. Kedlaya (eds.) ANTS-X. MSP - The Open Book Series, Vol 1: 317-334.
    [www] [BibTex]

  • Claus Fieker, M. M. Gehringer, J.J. Pengelly, W.S. Cuddy, P.I. Forster, B.A. Neilan (2010).
    Host selection of symbiotic cyanobacteria in 31 species of the Australian cycad genus: macrozamia (zamiaceae).
    Mol Plant Microbe Interact. 6, (23), 811-822.
    [BibTex]

  • Fieker, Claus and Stehlé, Damien (2010).
    Short bases of lattices over number fields.
    Algorithmic number theory. Lecture Notes in Comput. Sci. 6197, 157--173. (2721419 (2012d:11247))
    [doi] [www] [BibTex]
  • Fieker, Claus (2009).
    Minimizing representations over number fields. II. Computations in the Brauer group.
    J. Algebra. 322, (3), 752--765. (2531221 (2010e:20016))
    [doi] [www] [BibTex]

  • Fieker, Claus and Pohst, Michael E. (2008).
    A lower regulator bound for number fields.
    J. Number Theory. 128, (10), 2767--2775. (2441075 (2009k:11181))
    [doi] [www] [BibTex]

  • Fieker, Claus (2007).
    Sparse representation for cyclotomic fields.
    Experiment. Math.. 16, (4), 493--500. (2378488 (2009c:11210))
    [www] [BibTex]

  • Fieker, Claus and de Graaf, Willem A. (2007).
    Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras.
    LMS J. Comput. Math.. 10, 271--287. (2320832 (2008f:11119))
    [BibTex]

  • Fieker, Claus (2006).
    Applications of the class field theory of global fields.
    Discovering mathematics with Magma. Algorithms Comput. Math. 19, 31--62. (2278922 (2008f:11145))
    [doi] [www] [BibTex]
  • Fieker, Claus and Pohst, Michael E. (2006).
    Dependency of units in number fields.
    Math. Comp.. 75, (255), 1507--1518 (electronic). (2219041 (2007a:11168))
    [doi] [www] [BibTex]

  • Fieker, Claus (2004).
    Minimizing representations over number fields.
    J. Symbolic Comput.. 38, (1), 833--842. (2094558 (2005g:20023))
    [doi] [www] [BibTex]

  • Fieker, Claus and Klüners, Jürgen (2003).
    Minimal discriminants for fields with small Frobenius groups as Galois groups.
    J. Number Theory. 99, (2), 318--337. (1968456 (2004f:11147))
    [doi] [www] [BibTex]

  • (2002).
    ANTS-V.
    Claus Fieker and David Kohel (eds.) LNCS (2369),
    [BibTex]
  • Fieker, Claus (2001).
    Computing class fields via the Artin map.
    Math. Comp.. 70, (235), 1293--1303 (electronic). (1826583 (2002e:11153))
    [doi] [www] [BibTex]

  • Fieker, Claus and Friedrichs, Carsten (2000).
    On reconstruction of algebraic numbers.
    Algorithmic number theory (Leiden, 2000). Lecture Notes in Comput. Sci. 1838, 285--296. (1850612 (2002g:11181))
    [doi] [www] [BibTex]
  • Acciaro, Vincenzo and Fieker, Claus (2000).
    Finding normal integral bases of cyclic number fields of prime degree.
    J. Symbolic Comput.. 30, (2), 129--136. (1777167 (2001i:11125))
    [doi] [www] [BibTex]

  • Daberkow, M. and Fieker, C. and Klüners, J. and Pohst, M. and Roegner, K. and Schörnig, M. and Wildanger, K. (1997).
    KANT V4.
    J. Symbolic Comput.. 24, (3-4), 267--283. (1484479 (99g:11150)) (Computational algebra and number theory (London, 1993))
    [doi] [www] [BibTex]

  • Fieker, C. and Jurk, A. and Pohst, M. (1997).
    On solving relative norm equations in algebraic number fields.
    Math. Comp.. 66, (217), 399--410. (1355008 (97c:11118))
    [doi] [www] [BibTex]

  • Fieker, C. and Pohst, M. E. (1996).
    On lattices over number fields.
    Algorithmic number theory (Talence, 1996). Lecture Notes in Comput. Sci. 1122, 133--139. (1446505 (98g:11079))
    [doi] [www] [BibTex]