Claus Fieker

According to our database, Claus Fieker authored at least 26 papers between 1996 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

Computing splitting fields using Galois theory and other Galois constructions.

Claus Fieker, Nicole Sutherland

J. Symb. Comput., 2023

2020

Resultants over principal Artinian rings.

Claus Fieker, Tommy Hofmann, Carlo Sircana

CoRR, 2020

2017

On the computation of the HNF of a module over the ring of integers of a number field.

Jean-François Biasse, Claus Fieker, Tommy Hofmann

J. Symb. Comput., 2017

Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language.

Claus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson

Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, 2017

2016

An application of the -adic analytic class number formula.

Claus Fieker, Yinan Zhang

LMS J. Comput. Math., 2016

Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation.

Jean-François Biasse, Claus Fieker, Michael J. Jacobson Jr.

LMS J. Comput. Math., 2016

Bad Primes in Computational Algebraic Geometry.

Janko Böhm, Wolfram Decker, Claus Fieker, Santiago Laplagne, Gerhard Pfister

Proceedings of the Mathematical Software - ICMS 2016, 2016

2015

The use of bad primes in rational reconstruction.

Janko Böhm, Wolfram Decker, Claus Fieker, Gerhard Pfister

Math. Comput., 2015

Gröbner bases over algebraic number fields.

Dereje Kifle Boku, Wolfram Decker, Claus Fieker, Andreas Steenpaß

Proceedings of the 2015 International Workshop on Parallel Symbolic Computation, 2015

2014

Computation of Galois groups of rational polynomials.

Claus Fieker, Jürgen Klüners

LMS J. Comput. Math., 2014

Computing in quotients of rings of integers.

Claus Fieker, Tommy Hofmann

LMS J. Comput. Math., 2014

Subexponential class group and unit group computation in large degree number fields.

Jean-François Biasse, Claus Fieker

LMS J. Comput. Math., 2014

2012

New techniques for computing the ideal class group and a system of fundamental units in number fields

Jean-François Biasse, Claus Fieker

CoRR, 2012

A polynomial time algorithm for computing the HNF of a module over the integers of a number field.

Jean-François Biasse, Claus Fieker

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

2010

Magma - A Tool for Number Theory.

John Cannon, Steve Donnelly, Claus Fieker, Mark Watkins

Proceedings of the Mathematical Software, 2010

Short Bases of Lattices over Number Fields.

Claus Fieker, Damien Stehlé

Proceedings of the Algorithmic Number Theory, 9th International Symposium, 2010

2007

Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras.

Claus Fieker, Willem A. de Graaf

LMS J. Comput. Math., 2007

Sparse Representation for Cyclotomic Fields.

Claus Fieker

Exp. Math., 2007

2006

Dependency of units in number fields.

Claus Fieker, Michael E. Pohst

Math. Comput., 2006

2004

Minimizing representations over number fields.

Claus Fieker

J. Symb. Comput., 2004

2001

Computing class fields via the Artin map.

Claus Fieker

Math. Comput., 2001

2000

Finding Normal Integral Bases of Cyclic Number Fields of Prime Degree.

Vincenzo Acciaro, Claus Fieker

J. Symb. Comput., 2000

On Reconstruction of Algebraic Numbers.

Claus Fieker, Carsten Friedrichs

Proceedings of the Algorithmic Number Theory, 4th International Symposium, 2000

1997

On solving relative norm equations in algebraic number fields.

Claus Fieker, A. Jurk, Michael E. Pohst

Math. Comput., 1997

KANT V4.

Mario Daberkow, Claus Fieker, Jürgen Klüners, Michael Pohst, K. Roegner, Martin Schörnig, Klaus Wildanger

J. Symb. Comput., 1997

1996

On Lattices over Number Fields.

Claus Fieker, Michael Pohst

Proceedings of the Algorithmic Number Theory, Second International Symposium, 1996