Claus Fieker - researchr alias

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Viewing Publication 1 - 24 from 24

2023

Computing splitting fields using Galois theory and other Galois constructionsClaus Fieker, Nicole Sutherland. JSC, 116:243-262, 2023. [doi]

2017

On the computation of the HNF of a module over the ring of integers of a number fieldJean-François Biasse, Claus Fieker, Tommy Hofmann. JSC, 80:581-615, 2017. [doi]

Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming LanguageClaus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson. issac 2017: 157-164 [doi]

2016

Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluationJean-François Biasse, Claus Fieker, Michael J. Jacobson Jr.. lmsjcm, 19(A):371-390, 2016. [doi]

Bad Primes in Computational Algebraic GeometryJanko Böhm, Wolfram Decker, Claus Fieker, Santiago Laplagne, Gerhard Pfister. icms 2016: 93-101 [doi]

An application of the -adic analytic class number formulaClaus Fieker, Yinan Zhang. lmsjcm, 19(1):217-228, 2016. [doi]

2015

Gröbner bases over algebraic number fieldsDereje Kifle Boku, Wolfram Decker, Claus Fieker, Andreas Steenpaß. cap 2015: 16-24 [doi]

The use of bad primes in rational reconstructionJanko Böhm, Wolfram Decker, Claus Fieker, Gerhard Pfister. moc, 84(296):3013-3027, 2015. [doi]

2014

Subexponential class group and unit group computation in large degree number fieldsJean-François Biasse, Claus Fieker. lmsjcm, 17(Theory):385-403, 2014. [doi]

Computing in quotients of rings of integersClaus Fieker, Tommy Hofmann. lmsjcm, 17(Theory):349-365, 2014. [doi]

Computation of Galois groups of rational polynomialsClaus Fieker, Jürgen Klüners. lmsjcm, 17(1):141-158, 2014. [doi]

2012

A polynomial time algorithm for computing the HNF of a module over the integers of a number fieldJean-François Biasse, Claus Fieker. issac 2012: 75-82 [doi]

2010

Magma - A Tool for Number TheoryJohn Cannon, Steve Donnelly, Claus Fieker, Mark Watkins. icms 2010: 253-255 [doi]

Short Bases of Lattices over Number FieldsClaus Fieker, Damien Stehlé. ants 2010: 157-173 [doi]

2007

Sparse Representation for Cyclotomic FieldsClaus Fieker. em, 16(4):493-500, 2007. [doi]

Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie AlgebrasClaus Fieker, Willem A. de Graaf. lmsjcm, 10:271-287, 2007. [doi]

2006

Dependency of units in number fieldsClaus Fieker, Michael E. Pohst. moc, 75(255):1507-1518, 2006. [doi]

2004

Minimizing representations over number fieldsClaus Fieker. JSC, 38(1):833-842, 2004. [doi]

2001

Computing class fields via the Artin mapClaus Fieker. moc, 70(235):1293-1303, 2001.

2000

Finding Normal Integral Bases of Cyclic Number Fields of Prime DegreeVincenzo Acciaro, Claus Fieker. JSC, 30(2):129-136, 2000.

On Reconstruction of Algebraic NumbersClaus Fieker, Carsten Friedrichs. antsw 2000: 285-296

1997

KANT V4Mario Daberkow, Claus Fieker, Jürgen Klüners, Michael Pohst, K. Roegner, M. Schörnig, K. Wildanger. JSC, 24(3/4):267-283, 1997.

On solving relative norm equations in algebraic number fieldsClaus Fieker, A. Jurk, Michael E. Pohst. moc, 66(217):399-410, 1997.

1996

On Lattices over Number FieldsClaus Fieker, Michael Pohst. antsw 1996: 133-139

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