Michael E. Pohst

Affiliations:
  • Technical University of Berlin, Department of Mathematics, Germany


According to our database1, Michael E. Pohst authored at least 52 papers between 1975 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2021
On computing integral points of a Mordell curve - the method of Wildanger revisited.
Exp. Math., 2021

2013
An Optimization Problem for Lattices.
Exp. Math., 2013

2011
On the Computation of Class Polynomials with "Thetanullwerte" and Its Applications to the Unit Group Computation.
Exp. Math., 2011

2009
Computation of 2-groups of narrow logarithmic divisor classes of number fields.
J. Symb. Comput., 2009

On solving norm equations in global function fields.
J. Math. Cryptol., 2009

Jacobians of Genus-2 Curves with a Rational Point of Order 11.
Exp. Math., 2009

09221 Abstracts Collection - Algorithms and NumberTheory.
Proceedings of the Algorithms and Number Theory, 24.05. - 29.05.2009, 2009

2008
Solving resultant form equations over number fields.
Math. Comput., 2008

2006
Dependency of units in number fields.
Math. Comput., 2006

Diophantine Equations over Global Function Fields II: <i>R</i>-Integral Solutions of Thue Equations.
Exp. Math., 2006

2005
Factoring polynomials over global fields I.
J. Symb. Comput., 2005

Factoring polynomials over global fields II.
J. Symb. Comput., 2005

On Real Quadratic Number Fields Suitable for Cryptography.
Exp. Math., 2005

A New Algorithm for the Computation of Logarithmic <i>l</i>-Class Groups of Number Fields.
Exp. Math., 2005

2004
04211 Abstracts Collection - Algorithms and Number Theory.
Proceedings of the Algorithms and Number Theory, 16.05. - 21.05.2004, 2004

2003
Computing the multiplicative group of residue class rings.
Math. Comput., 2003

2002
On the resolution of relative Thue equations.
Math. Comput., 2002

Power Integral Bases in Orders of Composite Fields.
Exp. Math., 2002

1998
Tables of unit groups and class groups of quintic fields and a regulator bound.
Math. Comput., 1998

The S<sub>5</sub> Extensions of Degree 6 with Minimum Discriminant.
Exp. Math., 1998

1997
Power integral bases in a parametric family of totally real cyclic quintics.
Math. Comput., 1997

On solving relative norm equations in algebraic number fields.
Math. Comput., 1997

On Validated Computing in Algebraic Number Fields.
J. Symb. Comput., 1997

On Computing Subfields.
J. Symb. Comput., 1997

KANT V4.
J. Symb. Comput., 1997

From Class Groups to Class Fields.
Proceedings of the Algorithmic Algebra and Number Theory, 1997

1996
On integral bases in relative quadratic extensions.
Math. Comput., 1996

On the Resolution of Index form Equations in Sextic Fields with an Imaginary Quadratic Subfield.
J. Symb. Comput., 1996

On Integral Basis Reduction in Global Function Fields.
Proceedings of the Algorithmic Number Theory, Second International Symposium, 1996

Computational Aspects of Kummer Theory.
Proceedings of the Algorithmic Number Theory, Second International Symposium, 1996

On Lattices over Number Fields.
Proceedings of the Algorithmic Number Theory, Second International Symposium, 1996

On Computing Hilbert Class Fields of Prime Degree.
Proceedings of the Algorithmic Number Theory, Second International Symposium, 1996

1995
Computations with Relative Extensions of Number Fields with an Application to the Construction of Hilbert Class Fields.
Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, 1995

1994
On the Resolution of Index Form Equations in Dihedral Quartic Number Fields.
Exp. Math., 1994

A Practical Version of the Generalized Lagrange Algorithm.
Exp. Math., 1994

1993
On the Resolution of Index Form Equations in Quartic Number Fields.
J. Symb. Comput., 1993

The Totally Real A6 Extension of Degree 6 with Minimum Discriminant.
Exp. Math., 1993

1992
The Totally Real A<sub>5</sub> Extension of Degree 6 with Minimum Discriminant.
Exp. Math., 1992

1991
On the Resolution of Index Form Equations.
Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, 1991

Computations with Finitely Generated Modules over Dedekind Rings.
Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, 1991

1989
Algorithmic algebraic number theory.
Encyclopedia of mathematics and its applications 30, Cambridge University Press, ISBN: 978-0-521-33060-2, 1989

1988
On the Complexity of Computing Class Groups of Algebraic Number Fields.
Proceedings of the Applied Algebra, 1988

1987
A Modification of the LLL Reduction Algorithm.
J. Symb. Comput., 1987

Computing a lattice basis from a system of generating vectors.
Proceedings of the EUROCAL '87, 1987

1985
A New Method of Computing Fundamental Units in Algebraic Number Fields.
Proceedings of the EUROCAL '85, 1985

1983
Computation of integral solutions of a special type of systems of quadratic equations.
Proceedings of the Computer Algebra, 1983

A procedure for determining algebraic integers of given norm.
Proceedings of the Computer Algebra, 1983

1982
On the Determination of Algebraic Number Fileds of Given Discriminant.
Proceedings of the Computer Algebra, 1982

1981
On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications.
SIGSAM Bull., 1981

On solving systems of algebraic equations via ideal bases and elimination theory.
Proceedings of the Symposium on Symbolic and Algebraic Manipulation, 1981

1979
On unit computation in real quadratic number fields.
Proceedings of the Symbolic and Algebraic Computation, 1979

1975
Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern.
Computing, 1975


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