M. Pohst

发表

Improved methods for calculating vectors of short length in a lattice

U. Fincke, M. Pohst, 1985 .

Computing a lattice basis from a system of generating vectors

Michael E. Pohst, Johannes A. Buchmann, J. Buchmann, 1987, EUROCAL.

On effective computation of fundamental units. II

H. Zassenhaus, M. Pohst, P. Weiler, 1982 .

Computational Algebraic Number Theory

M. Pohst, 1993 .

Lattice-based RSA Key Reconstruction from Randomly Scattered Bits

M. Pohst, 2010 .

Simultaneous Representation of Integers by a Pair of Ternary Quadratic Forms—With an Application to Index Form Equations in Quartic Number Fields

M. Pohst, A. Pethǒ, I. Gaál, 1996 .

On the indices of multiquadratic number fields

M. Pohst, A. Pethǒ, A. Pethő, 2012 .

A New Algorithm for the Computation of Logarithmic l-Class Groups of Number Fields

M. Pohst, S. Pauli, F. Diaz, 2005, Exp. Math..

The sum of two S-units being a perfect power in global function fields

M. Pohst, I. Gaál, 2013 .

Constructing Integral Lattices With Prescribed Minimum

M. Pohst, 2010 .

Rational torsion of J0(N) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rational point of order 5,7 or 10

M. Pohst, F. Leprévost, A. Schoepp, 2004 .

Computation of 2-groups of positive classes of exceptional number fields ∗

M. Pohst, S. Pauli, Jean-Franccois Jaulent, 2008, 0801.1367.

A procedure for determining algebraic integers of given norm

Michael E. Pohst, U. Fincke, U. Fincke, 1983, EUROCAL.

On the resolution of index form equations

A. Pethö, M. Pohst, I. Gaál, 1991, ISSAC '91.

Diophantine equations over global function fields I: The Thue equation

M. Pohst, I. Gaál, 2006 .

Algorithmic Methods in Algebra and Number Theory

M. Pohst, 1988 .

On computing integral points of a Mordell curve over rational function fields in characteristic >3

M. Pohst, C. Fieker, I. Gaál, 2013 .

A note on index divisors

M. Pohst, 1991 .

On the Computation of Hilbert Class Fields

M. Pohst, Mario Daberkow, 1998 .

On the Computation of Class Polynomials with “Thetanullwerte” and Its Applications to the Unit Group Computation

Michael E. Pohst, Osmanbey Uzunkol, Franck Leprévost, 2011, Exp. Math..

A Modification of the LLL Reduction Algorithm

Michael E. Pohst, M. Pohst, 1987, J. Symb. Comput..

Algorithmic algebraic number theory

Michael Pohst, Hans Zassenhaus, H. Zassenhaus, 1989, Encyclopedia of mathematics and its applications.

On integral bases in relative quadratic extensions

Michael E. Pohst, Mario Daberkow, M. Pohst, 1996, Math. Comput..

On lattice bases with special properties

M. Pohst, U. Halbritter, 2000 .

On the indices of biquadratic number fields having Galois groupV4

A. Pethö, M. Pohst, I. Gaál, 1991 .

A lower regulator bound for number fields

M. Pohst, C. Fieker, 2008 .

Computation of 2-groups of narrow logarithmic divisor classes of number fields

Michael E. Pohst, Sebastian Pauli, Florence Soriano-Gafiuk, 2008, J. Symb. Comput..

Dependency of units in number fields

Claus Fieker, Michael E. Pohst, M. Pohst, 2006, Math. Comput..

Computing the multiplicative group of residue class rings

Michael E. Pohst, Sebastian Pauli, Florian Hess, 2003, Math. Comput..

Computational Aspects of Kummer Theory

Michael E. Pohst, M. Pohst, 1996, International Workshop on Ant Colony Optimization and Swarm Intelligence.

Units in some parametric families of quartic fields

M. Pohst, F. Leprévost, A. Schoepp, 2007 .

Algorithmic Number Theory, 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings

Sebastian Pauli, Florian Hess, Michael Pohst, 2006, ANTS.

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

Michael E. Pohst, M. Pohst, 1981, SIGS.

On the resolution of relative Thue equations

István Gaál, Michael E. Pohst, M. Pohst, 2002, Math. Comput..

On computing non-Galois cubic global function fields of prescribed discriminant in characteristic > 3

M. Pohst, 2011 .

On Computing Subfields

Michael E. Pohst, Jürgen Klüners, M. Pohst, 1997, J. Symb. Comput..

On Integral Basis Reduction in Global Function Fields

Michael E. Pohst, M. Schörnig, M. Pohst, 1996, ANTS.

Computations with relative extensions of number fields with an application to the construction of Hilbert class fields

Michael E. Pohst, Mario Daberkow, M. Pohst, 1995, ISSAC '95.

On the resolution of index form equations in biquadratic number fields, I

István Gaál, Michael E. Pohst, Attila Pethö, 1991 .

On solving relative norm equations in algebraic number fields

Claus Fieker, Michael E. Pohst, A. Jurk, 1997, Math. Comput..

On multidimensional Diophantine approximation of algebraic numbers

Csanád Bertók, Attila Pethő, Michael Pohst, 2017 .

An Optimization Problem for Lattices

Michael E. Pohst, Attila Pethö, L. Hajdu, 2013, Exp. Math..

Solving resultant form equations over number fields

István Gaál, Michael E. Pohst, M. Pohst, 2008, Mathematics of Computation.

Factoring polynomials over global fields I

Michael E. Pohst, M. Pohst, 2005, J. Symb. Comput..

On Validated Computing in Algebraic Number Fields

Michael E. Pohst, M. Pohst, 1997, J. Symb. Comput..

On Lattices over Number Fields

Claus Fieker, Michael E. Pohst, M. Pohst, 1996, ANTS.

Enumeration of quartic fields of small discriminant

Johannes Buchmann, Michael Pohst, David Ford, 1993 .

On the Complexity of Computing Class Groups of Algebraic Number Fields

Michael E. Pohst, Johannes A. Buchmann, J. Buchmann, 1988, AAECC.

A New Method of Computing Fundamental Units in Algebraic Number Fields

Michael E. Pohst, U. Fincke, U. Fincke, 1985, European Conference on Computer Algebra.

On Reduction Algorithms in Non Linear Integer Mathematical Programming

Michael Pohst, U. Fincke, M. Pohst, 1984 .

On the Resolution of Index Form Equations in Quartic Number Fields

A. Pethö, M. Pohst, István Gaál, 1993, J. Symb. Comput..

On the Determination of Algebraic Number Fileds of Given Discriminant

Michael E. Pohst, M. Pohst, 1982, EUROCAM.

On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields

Michael Pohst, M. Pohst, 1982 .

Computing Power Integral Bases in Quartic Relative Extensions

M. Pohst, I. Gaál, 2000 .

On Effective Computation of Fundamental Units. I

H. Zassenhaus, M. Pohst, 2010 .

On unit groups and class groups of quartic fields of signature (2,1)

J. Buchmann, M. Pohst, J. V. Schmettow, 1994 .

On effective computation of fundamental units. II

H. Zassenhaus, M. Pohst, P. Weiler, 1982 .

Diophantine Equations over Global Function Fields II: R-Integral Solutions of Thue Equations

István Gaál, Michael E. Pohst, M. Pohst, 2006, Exp. Math..

Algorithmic algebraic number theory

H. Zassenhaus, M. Pohst, 1989, Encyclopedia of mathematics and its applications.

A Practical Version of the Generalized Lagrange Algorithm

Michael E. Pohst, Johannes A. Buchmann, Max Jüntgen, 1994, Exp. Math..

On the Resolution of Index Form Equations in Dihedral Quartic Number Fields

István Gaál, Michael E. Pohst, Attila Pethö, 1994, Exp. Math..

On the Resolution of Index Form Equations in Biquadratic Number-Fields: III. The Bicyclic Biquadratic Case

A. Pethö, M. Pohst, I. Gaál, 1995 .

Computations with finitely generated modules over Dedekind rings

Michael E. Pohst, Wieb Bosma, M. Pohst, 1991, ISSAC '91.

A New Algorithm for the Computation of Logarithmic l-Class Groups of Number Fields

Michael E. Pohst, Sebastian Pauli, Florence Soriano-Gafiuk, 2005, Experimental Mathematics.

Computation of 2-groups of positive classes of exceptional number fields

M. Pohst, Jean-Franccois Jaulent, F. Soriano-Gafiuk, 2009 .

Diophantine equations over global function fields III: An application to resultant form equations

M. Pohst, I. Gaál, 2008 .

The S5 Extensions of Degree 6 with Minimum Discriminant

Michael E. Pohst, Mario Daberkow, David Ford, 1998, Experimental Mathematics.

The Totally Real A6 Extension of Degree 6 with Minimum Discriminant

Michael E. Pohst, David Ford, M. Pohst, 1993, Exp. Math..

The Totally Real A5 Extension of Degree 6 with Minimum Discriminant

Michael E. Pohst, David Ford, M. Pohst, 1992, Exp. Math..

On the Resolution of Index form Equations in Sextic Fields with an Imaginary Quadratic Subfield

István Gaál, Michael E. Pohst, M. Pohst, 1996, J. Symb. Comput..

On Real Quadratic Number Fields Suitable for Cryptography

Michael E. Pohst, Daniel Schielzeth, M. Pohst, 2005, Experimental Mathematics.