Claus Fieker

35 papers B 2Journal 25Unranked 7
YearRankTypeTitle / Venue / Authors
2024 J jnl
An algorithm for solving the principal ideal problem with subfields.
Adv. Math. Commun.
Jean-François Biasse, Claus Fieker, Tommy Hofmann, William Youmans
2024 — conf
Computing the Determinant of a Dense Matrix over ℤ.
ICMS
John Abbott, Claus Fieker
2023 J jnl
Computing splitting fields using Galois theory and other Galois constructions.
J. Symb. Comput.
Claus Fieker, Nicole Sutherland
2020 J jnl
Resultants over principal Artinian rings.
CoRR
Claus Fieker, Tommy Hofmann, Carlo Sircana
2017 J jnl
Bad Primes in Computational Algebraic Geometry.
CoRR
Janko Böhm, Wolfram Decker, Claus Fieker, Santiago Laplagne, Gerhard Pfister
2017 B conf
Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language.
ISSAC
Claus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson
2017 J jnl
Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language.
CoRR
Claus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson
2017 J jnl
On the computation of the HNF of a module over the ring of integers of a number field.
J. Symb. Comput.
Jean-François Biasse, Claus Fieker, Tommy Hofmann
2016 J jnl
An application of the -adic analytic class number formula.
LMS J. Comput. Math.
Claus Fieker, Yinan Zhang
2016 — conf
Bad Primes in Computational Algebraic Geometry.
ICMS
Janko Böhm, Wolfram Decker, Claus Fieker, Santiago Laplagne, Gerhard Pfister
2016 J jnl
Computing in quotients of rings of integers.
CoRR
Tommy Hofmann, Claus Fieker
2016 J jnl
Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation.
LMS J. Comput. Math.
Jean-François Biasse, Claus Fieker, Michael J. Jacobson Jr.
2016 J jnl
On the computation of the HNF of a module over the ring of integers of a number field.
CoRR
Jean-François Biasse, Claus Fieker, Tommy Hofmann
2015 J jnl
Gröbner Bases over Algebraic Number Fields.
CoRR
Dereje Kifle Boku, Claus Fieker, Wolfram Decker, Andreas Steenpaß
2015 — conf
Gröbner bases over algebraic number fields.
PASCO
Dereje Kifle Boku, Wolfram Decker, Claus Fieker, Andreas Steenpaß
2015 J jnl
The use of bad primes in rational reconstruction.
Math. Comput.
Janko Böhm, Wolfram Decker, Claus Fieker, Gerhard Pfister
2014 J jnl
Computation of Galois groups of rational polynomials.
LMS J. Comput. Math.
Claus Fieker, Jürgen Klüners
2014 J jnl
Computing in quotients of rings of integers.
LMS J. Comput. Math.
Claus Fieker, Tommy Hofmann
2014 J jnl
Subexponential class group and unit group computation in large degree number fields.
LMS J. Comput. Math.
Jean-François Biasse, Claus Fieker
2012 J jnl
A polynomial time algorithm for computing the HNF of a module over the integers of a number field
CoRR
Jean-François Biasse, Claus Fieker
2012 B conf
A polynomial time algorithm for computing the HNF of a module over the integers of a number field.
ISSAC
Jean-François Biasse, Claus Fieker
2012 J jnl
New techniques for computing the ideal class group and a system of fundamental units in number fields
CoRR
Jean-François Biasse, Claus Fieker
2010 — conf
Magma - A Tool for Number Theory.
ICMS
John Cannon, Steve Donnelly, Claus Fieker, Mark Watkins
2010 — conf
Short Bases of Lattices over Number Fields.
ANTS
Claus Fieker, Damien Stehlé
2007 J jnl
Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras.
LMS J. Comput. Math.
Claus Fieker, Willem A. de Graaf
2007 J jnl
Sparse Representation for Cyclotomic Fields.
Exp. Math.
Claus Fieker
2006 J jnl
Dependency of units in number fields.
Math. Comput.
Claus Fieker, Michael E. Pohst
2004 J jnl
Minimizing representations over number fields.
J. Symb. Comput.
Claus Fieker
2002 — ed.
Algorithmic Number Theory, 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002, Proceedings
ANTS
Claus Fieker, David R. Kohel
2001 J jnl
Computing class fields via the Artin map.
Math. Comput.
Claus Fieker
2000 J jnl
Finding Normal Integral Bases of Cyclic Number Fields of Prime Degree.
J. Symb. Comput.
Vincenzo Acciaro, Claus Fieker
2000 — conf
On Reconstruction of Algebraic Numbers.
ANTS
Claus Fieker, Carsten Friedrichs
1997 J jnl
KANT V4.
J. Symb. Comput.
Mario Daberkow, Claus Fieker, Jürgen Klüners, Michael Pohst, K. Roegner, Martin Schörnig, Klaus Wildanger
1997 J jnl
On solving relative norm equations in algebraic number fields.
Math. Comput.
Claus Fieker, A. Jurk, Michael E. Pohst
1996 — conf
On Lattices over Number Fields.
ANTS
Claus Fieker, Michael Pohst