On Lattices over Number Fields. - Claus Fieker; Michael Pohst (ANTS, 1996)

KANT V4. - Mario Daberkow; Claus Fieker; Jürgen Klüners; Michael Pohst; K. Roegner; Martin Schörnig; Klaus Wildanger (J. Symb. Comput., 1997)

On solving relative norm equations in algebraic number fields. - Claus Fieker; A. Jurk; Michael E. Pohst (Math. Comput., 1997)

On Reconstruction of Algebraic Numbers. - Claus Fieker; Carsten Friedrichs (ANTS, 2000)

Finding Normal Integral Bases of Cyclic Number Fields of Prime Degree. - Vincenzo Acciaro; Claus Fieker (J. Symb. Comput., 2000)

Computing class fields via the Artin map. - Claus Fieker (Math. Comput., 2001)

Minimizing representations over number fields. - Claus Fieker (J. Symb. Comput., 2004)

Dependency of units in number fields. - Claus Fieker; Michael E. Pohst (Math. Comput., 2006)

Sparse Representation for Cyclotomic Fields. - Claus Fieker (Exp. Math., 2007)

Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras. - Claus Fieker; Willem A. de Graaf (LMS J. Comput. Math., 2007)

Short Bases of Lattices over Number Fields. - Claus Fieker; Damien Stehlé (ANTS, 2010)

Magma - A Tool for Number Theory. - John Cannon; Steve Donnelly; Claus Fieker; Mark Watkins (ICMS, 2010)

A polynomial time algorithm for computing the HNF of a module over the integers of a number field. - Jean-François Biasse; Claus Fieker (ISSAC, 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)

Subexponential class group and unit group computation in large degree number fields. - Jean-François Biasse; Claus Fieker (LMS J. Comput. Math., 2014)

Computing in quotients of rings of integers. - Claus Fieker; Tommy Hofmann (LMS J. Comput. Math., 2014)

Computation of Galois groups of rational polynomials. - Claus Fieker; Jürgen Klüners (LMS J. Comput. Math., 2014)

Gröbner bases over algebraic number fields. - Dereje Kifle Boku; Wolfram Decker; Claus Fieker; Andreas Steenpaß (PASCO, 2015)

The use of bad primes in rational reconstruction. - Janko Böhm; Wolfram Decker; Claus Fieker; Gerhard Pfister (Math. Comput., 2015)

Bad Primes in Computational Algebraic Geometry. - Janko Böhm; Wolfram Decker; Claus Fieker; Santiago Laplagne; Gerhard Pfister (ICMS, 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)

An application of the -adic analytic class number formula. - Claus Fieker; Yinan Zhang (LMS J. Comput. Math., 2016)

Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language. - Claus Fieker; William Hart; Tommy Hofmann; Fredrik Johansson 001 (ISSAC, 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)

Resultants over principal Artinian rings. - Claus Fieker; Tommy Hofmann; Carlo Sircana (CoRR, 2020)

Computing splitting fields using Galois theory and other Galois constructions. - Claus Fieker; Nicole Sutherland (J. Symb. Comput., 2023)

Computing the Determinant of a Dense Matrix over ℤ. - John Abbott; Claus Fieker (ICMS, 2024)

An algorithm for solving the principal ideal problem with subfields. - Jean-François Biasse; Claus Fieker; Tommy Hofmann; William Youmans (Adv. Math. Commun., 2024)