Claus Fieker

Publications:

Book:

(with D. Kohel) Algorithmic Number Theory Symposium V Springer LNCS 2369, 2002.

Book chapters:

Applications of class field theory of global fields to appear in Discovering Mathematics with Magma Wieb Bosma and John Cannon (Eds.), Springer-Verlag, April/May 2004.
Class field theory for global function fields in Handbook of Magma Functions, John Cannon and Wieb Bosma (Eds.), Sydney 2003.

Script:

Lecture notes for algebra 2 (in German)

Dissertation:

Über relative Normgleichungen in algebraischen Zahlkörpern

Preprints:

(with M. Pohst): A lower regulator bound for number fields, submitted to J. Number Theory, 2006

Articles: (Abstracts only)

(with A. Jurk and M. Pohst): On solving relative Norm Equations in Algebraic Number Fields, Math. Comput. 66 (1997), 399-410
(with M. Pohst): On Lattices over Number Fields, ANTS II, H. Cohen (ed.), 133-140, Springer LNCS 1122, 1996
(with the KANT-Group): KANT V4, J. Symb. Comp., Vol 24, No 3, 1997, 267-283
(with V. Acciaro): Finding normal integral bases of cyclic number fields of prime degree, J. Symb. Comp. (30): 129 - 136, 2000
(with C. Friedrichs):On reconstruction of algebraic numbers, ANTS IV, W. Bosma (ed.), 285 --296, Springer LNCS 1838, 2000.
Full version Computing Class Fields via the Artin Map, Math. Comput. (70): 1293 - 1303, 2001
(with J. Klüners): Full version Minimal discriminants for fields with small Frobenius groups as Galois groups, J. Number Theory, (99): 318 -- 337, 2003
Full version Minimizing representations over number fields, J. Symb. Comput. (38): 833 - 842, 2004
(with M. Pohst): Dependency of units in number fields, Maths. Comput. (75), 1507-1518. (2006)
(with W. de Graaf): Integral linear dependencies of algerbaic numbers and algebraic Lie algebras, LMS J. Comput. Math. 10 (2007) 271-287
Sparse representation for cyclotomic fields, accepted for publication in Exp. Math., 2006

Other:

An introduction to Magma in the "Computer Algebra Rundbrief" (german).