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Author ID: pohst.michael-e Recent zbMATH articles by "Pohst, Michael E."
Published as: Pohst, Michael; Pohst, M.; Pohst, Michael E.; Pohst, M. E.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 119 Publications since 1973, including 3 Books
4 Contributions as Editor
Reviewing Activity: 154 Reviews
Biographic References: 1 Publication
Co-Authors: 43 Co-Authors with 91 Joint Publications
723 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 856 times in 541 Documents Cited by Year
Algorithmic algebraic number theory. Zbl 0685.12001
Pohst, M.; Zassenhaus, Hans
122
1989
KANT V4. Zbl 0886.11070
Daberkow, M.; Fieker, C.; Klüners, J.; Pohst, M.; Roegner, K.; Schörnig, M.; Wildanger, K.
91
1997
Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Zbl 0556.10022
Fincke, U.; Pohst, M.
91
1985
On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. Zbl 0478.12005
Pohst, Michael
32
1982
On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. Zbl 0467.10022
Pohst, Michael
22
1981
Computational algebraic number theory. Zbl 0817.11063
Pohst, Michael E.
21
1993
A procedure for determining algebraic integers of given norm. Zbl 0541.12001
Fincke, U.; Pohst, M.
19
1983
Simultaneous representation of integers by a pair of ternary quadratic forms – with an application to index form equations in quartic number fields. Zbl 0853.11023
Gaál, István; Pethö, Attila; Pohst, Michael
17
1996
A table of quintic number fields. Zbl 0822.11087
Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco
17
1994
A modification of the LLL reduction algorithm. Zbl 0629.10001
Pohst, M.
16
1987
Regulatorabschätzungen für total reelle algebraische Zahlkörper. Zbl 0366.12011
Pohst, Michael
15
1977
On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. Zbl 0853.11026
Gaál, István; Pethö, Attila; Pohst, Michael
15
1995
On the resolution of index form equations in sextic fields with an imaginary quadratic subfield. Zbl 0873.11025
Gaál, István; Pohst, Michael
14
1996
Power integral bases in a parametric family of totally real cyclic quintics. Zbl 0899.11064
Gaál, István; Pohst, Michael
12
1997
On the resolution of relative Thue equations. Zbl 0985.11070
Gaál, István; Pohst, Michael
12
2002
Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper. Zbl 0314.12014
Pohst, Michael
12
1975
On effective computation of fundamental units. II. Zbl 0493.12005
Pohst, Michael; Weiler, Peter; Zassenhaus, Hans
11
1982
On the resolution of index form equations in biquadratic number fields. I. Zbl 0726.11022
Gaál, I.; Pethö, A.; Pohst, M.
11
1991
The minimum discriminant of totally real octic fields. Zbl 0719.11079
Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco
11
1990
Power integral bases in orders of composite fields. Zbl 1020.11064
Gaál, István; Olajos, Péter; Pohst, Michael
10
2002
On the resolution of index form equations in quartic number fields. Zbl 0808.11023
Gaál, István; Pethö, Attila; Pohst, Michael
9
1993
Computing power integral bases in quartic relative extensions. Zbl 0993.11055
Gaál, István; Pohst, Michael
9
2000
Constructing integral lattices with prescribed minimum. I. Zbl 0581.10014
Plesken, Wilhelm; Pohst, M.
8
1985
Enumeration of quartic fields of small discriminant. Zbl 0788.11060
Buchmann, Johannes; Ford, David; Pohst, Michael
8
1993
On maximal finite irreducible subgroups of GL(n, Z). I: The five and seven dimensional cases. Zbl 0359.20006
Plesken, Wilhelm; Pohst, Michael
8
1977
The minimum discriminant of seventh degree totally real algebraic number fields. Zbl 0373.12006
Pohst, M.
8
1977
Diophantine equations over global function fields. I: The Thue equation. Zbl 1157.11011
Gaál, István; Pohst, Michael
8
2006
Diophantine equations over global function fields. II: \(R\)-integral solutions of Thue equations. Zbl 1142.11019
Gaál, István; Pohst, Michael
7
2006
On computing isomorphisms of equation orders. Zbl 0632.12001
Pohst, M.
7
1987
On computing subfields. Zbl 0886.11072
Klüners, Jürgen; Pohst, Michael
7
1997
Computing the multiplicative group of residue class rings. Zbl 1013.11073
Heß, Florian; Pauli, Sebastian; Pohst, Michael E.
7
2003
On the indices of multiquadratic number fields. Zbl 1255.11052
Pethő, Attila; Pohst, Michael E.
7
2012
Eine Regulatorabschätzung. Zbl 0381.12006
Pohst, Michael
6
1978
On solving relative norm equations in algebraic number fields. Zbl 0854.11076
Fieker, C.; Jurk, A.; Pohst, M.
6
1997
A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. Zbl 1148.11060
Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence
6
2005
An effective number geometric method of computing the fundamental units of an algebraic number field. Zbl 0374.12001
Pohst, Michael; Zassenhaus, Hans
6
1977
On effective computation of fundamental units. I. Zbl 0493.12004
Pohst, Michael; Zassenhaus, Hans
6
1982
Computations with relative extensions of number fields with an application to the construction of Hilbert class fields. Zbl 0930.11089
Daberkow, M.; Pohst, M.
6
1995
On the resolution of index form equations in biquadratic number fields. II. Zbl 0726.11023
Gaál, I.; Pethö, A.; Pohst, M.
6
1991
On the computation of the values of zeta functions of totally real cubic fields. Zbl 0727.11050
Halbritter, U.; Pohst, M.
6
1990
Three principal tasks of computational algebraic number theory. Zbl 0694.12002
Pohst, M. E.
6
1989
On lattices over number fields. Zbl 0930.11090
Fieker, C.; Pohst, M. E.
5
1996
On maximal finite irreducible subgroups of GL(n,Z). V: The eight dimensional case and a complete description of dimensions less than ten. Zbl 0431.20041
Plesken, Wilhelm; Pohst, Michael
5
1980
Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper. Zbl 0559.12003
Pohst, Michael; Zassenhaus, Hans
5
1985
Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern. Zbl 0302.12004
Pohst, M.
5
1975
On maximal finite irreducible subgroups of GL(n, Z). II: The six dimensional case. Zbl 0359.20007
Plesken, Wilhelm; Pohst, Michael
5
1977
On computing non-Galois cubic global function fields of prescribed discriminant in characteristic \(>3\). Zbl 1249.11112
Pohst, Michael E.
5
2011
On the computation of unit groups and class groups of totally real quartic fields. Zbl 0714.11002
Buchmann, J.; Pohst, M.; Schmettow, J.v.
5
1989
The totally real \(A_ 5\) extension of degree 6 with minimum discriminant. Zbl 0773.11067
Ford, David; Pohst, Michael
4
1992
Mehrklassige Geschlechter von Einheitsformen in total reellen algebraischen Zahlkörpern. Zbl 0277.12003
Pohst, Michael
4
1973
On the indices of biquadratic number fields having Galois group \(V_ 4\). Zbl 0724.11049
Gaál, I.; Pethö, A.; Pohst, M.
4
1991
On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\). Zbl 1309.11088
Fieker, Claus; Gaál, István; Pohst, Michael
4
2013
Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088
Bosma, Wieb; Pohst, Michael
4
1991
On computing fundamental units. Zbl 0810.11065
Pohst, M.
3
1994
Factoring polynomials over global fields. I. Zbl 1156.11349
Pohst, Michael E.
3
2005
Units in some parametric families of quartic fields. Zbl 1116.11090
Leprévost, Franck; Pohst, Michael; Schöpp, Andreas
3
2007
Algebraic algorithms. (Algebraische Algorithmen. Herausgg. von Michael Pohst.) Zbl 0958.11080
Pethö, Attila
3
1999
Constructing integral lattices with prescribed minimum. II. Zbl 0785.11037
Plesken, Wilhelm; Pohst, M.
3
1993
Computing a lattice basis from a system of generating vectors. Zbl 1209.11108
Buchmann, Johannes; Pohst, Michael
3
1989
On maximal finite irreducible subgroups of GL(n,Z). I: The five and seven dimensional case. II: The six dimensional case. Zbl 0338.20007
Plesken, Wilhelm; Pohst, Michael
3
1976
Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations. Zbl 1243.11120
Gaál, István; Pohst, Michael
3
2010
Jacobians of genus-2 curves with a rational point of order 11. Zbl 1244.11064
Bernard, Nicolas; Leprévost, Franck; Pohst, Michael
3
2009
On the computation of Hermite-Humbert constants for real quadratic number fields. Zbl 1098.11063
Pohst, Michael E.; Wagner, Marcus
3
2005
Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Zbl 1103.11002
2
2006
Tables of unit groups and class groups of quintic fields and a regulator bound. Zbl 0957.11058
Pohst, M.; Wildanger, K.
2
1998
Computational aspects of Kummer theory. Zbl 0894.11051
Pohst, M. E.
2
1996
On integral basis reduction in global function fields. Zbl 0898.11048
Pohst, M. E.; Schörnig, M.
2
1996
On real quadratic number fields suitable for cryptography. Zbl 1207.11107
Schielzeth, Daniel; Pohst, Michael E.
2
2005
The totally real \(A_ 6\) extension of degree 6 with minimum discriminant. Zbl 0799.11052
Ford, David; Pohst, Michael
2
1993
On lattice bases with special properties. Zbl 0972.11060
Halbritter, Ulrich; Pohst, Michael E.
2
2000
Families of polynomials associated with unicursal modular curves \(X_ 1(l)\) and nontrivial rational points of quotient elliptic curves. (Familles de polynômes liées aux courbes modulaires \(X_1(l)\) unicursales et points rationnels non-triviaux de courbes elliptiques quotient.) Zbl 1126.11321
Leprévost, Franck; Pohst, Michael; Schöpp, Andreas
2
2003
On maximal finite irreducible subgroups of GL(n,Z). III: The nine dimensional case. Zbl 0431.20039
Plesken, Wilhelm; Pohst, Michael
2
1980
On maximal finite irreducible subgroups of GL(n,Z).IV: Remarks on even dimensions with applications to n=8. Zbl 0431.20040
Plesken, Wilhelm; Pohst, Michael
2
1980
Factoring polynomials over global fields. II. Zbl 1156.11347
Méndez Omaña, José; Pohst, Michael E.
2
2005
Solving resultant form equations over number fields. Zbl 1214.11042
Gaál, István; Pohst, Michael
2
2008
Computation of 2-groups of narrow logarithmic divisor classes of number fields. Zbl 1176.11068
Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence
2
2009
Invarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante. Zbl 0292.12019
Pohst, Michael
2
1976
Diophantine equations over global function fields. III: An application to resultant form equations. Zbl 1233.11036
Gaál, István; Pohst, Michael
2
2008
The \(S_5\) extensions of degree 6 with minimum discriminant. Zbl 0921.11052
Ford, David; Pohst, Michael; Daberkow, Mario; Haddad, Nasser
2
1998
On the resolution of index form equations in dihedral quartic number fields. Zbl 0823.11074
Gaál, István; Pethö, Attila; Pohst, Michael
2
1994
On the resolution of index form equations. Zbl 0925.11053
Gaál, I.; Pethö, A.; Pohst, M.
2
1991
Computation of integral solutions of a special type of systems of quadratic equations. Zbl 0539.65025
Pohst, Michael
1
1983
On integral bases in relative quadratic extensions. Zbl 0862.11057
Daberkow, M.; Pohst, M.
1
1996
Computing invariants of algebraic number fields. Zbl 0892.11040
Pohst, Michael E.
1
1996
In memoriam: Hans Zassenhaus (1912-1991). Zbl 0906.01029
Pohst, Michael
1
1994
On the computation of Hilbert class fields. Zbl 0910.11058
Daberkow, M.; Pohst, M.
1
1998
On Legendre’s equation over number fields. Zbl 0980.11020
Pohst, Michael E.
1
2000
On unit computation in real quadratic fields. Zbl 0425.12004
Pohst, M.; Zassenhaus, Hans
1
1979
A new method of computing fundamental units in algebraic number fields. Zbl 0597.12008
Fincke, U.; Pohst, M.
1
1985
A lower regulator bound for number fields. Zbl 1215.11124
Fieker, Claus; Pohst, Michael E.
1
2008
Über biquadratische Zahlkörper gleicher Diskriminante. Zbl 0315.12005
Pohst, Michael
1
1975
On computing integral points of a Mordell curve – the method of Wildanger revisited. Zbl 1465.11237
Gaál, István; Pohst, Maximilian C.; Pohst, Michael E.
1
2021
Computation of 2-groups of positive classes of exceptional number fields. Zbl 1201.11106
Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence
1
2008
On the computation of Hermite-Humbert constants: the algorithm of Cohn revisited. Zbl 1215.11125
Pohst, M. E.; Wagner, Marcus
1
2009
On multidimensional Diophantine approximation of algebraic numbers. Zbl 1419.11097
Pethő, Attila; Pohst, Michael E.; Bertók, Csanád
1
2017
A note on index divisors. Zbl 0734.11056
Pohst, M.
1
1991
Dependency of units in number fields. Zbl 1097.11061
Fieker, Claus; Pohst, Michael E.
1
2006
On the powers of integers and conductors of quadratic fields. Zbl 1274.11161
Bircan, Nihal; Pohst, Michael E.
1
2013
On computing integral points of a Mordell curve – the method of Wildanger revisited. Zbl 1465.11237
Gaál, István; Pohst, Maximilian C.; Pohst, Michael E.
1
2021
On multidimensional Diophantine approximation of algebraic numbers. Zbl 1419.11097
Pethő, Attila; Pohst, Michael E.; Bertók, Csanád
1
2017
On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\). Zbl 1309.11088
Fieker, Claus; Gaál, István; Pohst, Michael
4
2013
On the powers of integers and conductors of quadratic fields. Zbl 1274.11161
Bircan, Nihal; Pohst, Michael E.
1
2013
On the indices of multiquadratic number fields. Zbl 1255.11052
Pethő, Attila; Pohst, Michael E.
7
2012
On computing non-Galois cubic global function fields of prescribed discriminant in characteristic \(>3\). Zbl 1249.11112
Pohst, Michael E.
5
2011
Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations. Zbl 1243.11120
Gaál, István; Pohst, Michael
3
2010
Jacobians of genus-2 curves with a rational point of order 11. Zbl 1244.11064
Bernard, Nicolas; Leprévost, Franck; Pohst, Michael
3
2009
Computation of 2-groups of narrow logarithmic divisor classes of number fields. Zbl 1176.11068
Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence
2
2009
On the computation of Hermite-Humbert constants: the algorithm of Cohn revisited. Zbl 1215.11125
Pohst, M. E.; Wagner, Marcus
1
2009
Solving resultant form equations over number fields. Zbl 1214.11042
Gaál, István; Pohst, Michael
2
2008
Diophantine equations over global function fields. III: An application to resultant form equations. Zbl 1233.11036
Gaál, István; Pohst, Michael
2
2008
A lower regulator bound for number fields. Zbl 1215.11124
Fieker, Claus; Pohst, Michael E.
1
2008
Computation of 2-groups of positive classes of exceptional number fields. Zbl 1201.11106
Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence
1
2008
Units in some parametric families of quartic fields. Zbl 1116.11090
Leprévost, Franck; Pohst, Michael; Schöpp, Andreas
3
2007
Diophantine equations over global function fields. I: The Thue equation. Zbl 1157.11011
Gaál, István; Pohst, Michael
8
2006
Diophantine equations over global function fields. II: \(R\)-integral solutions of Thue equations. Zbl 1142.11019
Gaál, István; Pohst, Michael
7
2006
Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Zbl 1103.11002
2
2006
Dependency of units in number fields. Zbl 1097.11061
Fieker, Claus; Pohst, Michael E.
1
2006
A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. Zbl 1148.11060
Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence
6
2005
Factoring polynomials over global fields. I. Zbl 1156.11349
Pohst, Michael E.
3
2005
On the computation of Hermite-Humbert constants for real quadratic number fields. Zbl 1098.11063
Pohst, Michael E.; Wagner, Marcus
3
2005
On real quadratic number fields suitable for cryptography. Zbl 1207.11107
Schielzeth, Daniel; Pohst, Michael E.
2
2005
Factoring polynomials over global fields. II. Zbl 1156.11347
Méndez Omaña, José; Pohst, Michael E.
2
2005
Computing the multiplicative group of residue class rings. Zbl 1013.11073
Heß, Florian; Pauli, Sebastian; Pohst, Michael E.
7
2003
Families of polynomials associated with unicursal modular curves \(X_ 1(l)\) and nontrivial rational points of quotient elliptic curves. (Familles de polynômes liées aux courbes modulaires \(X_1(l)\) unicursales et points rationnels non-triviaux de courbes elliptiques quotient.) Zbl 1126.11321
Leprévost, Franck; Pohst, Michael; Schöpp, Andreas
2
2003
On the resolution of relative Thue equations. Zbl 0985.11070
Gaál, István; Pohst, Michael
12
2002
Power integral bases in orders of composite fields. Zbl 1020.11064
Gaál, István; Olajos, Péter; Pohst, Michael
10
2002
Computing power integral bases in quartic relative extensions. Zbl 0993.11055
Gaál, István; Pohst, Michael
9
2000
On lattice bases with special properties. Zbl 0972.11060
Halbritter, Ulrich; Pohst, Michael E.
2
2000
On Legendre’s equation over number fields. Zbl 0980.11020
Pohst, Michael E.
1
2000
Algebraic algorithms. (Algebraische Algorithmen. Herausgg. von Michael Pohst.) Zbl 0958.11080
Pethö, Attila
3
1999
Tables of unit groups and class groups of quintic fields and a regulator bound. Zbl 0957.11058
Pohst, M.; Wildanger, K.
2
1998
The \(S_5\) extensions of degree 6 with minimum discriminant. Zbl 0921.11052
Ford, David; Pohst, Michael; Daberkow, Mario; Haddad, Nasser
2
1998
On the computation of Hilbert class fields. Zbl 0910.11058
Daberkow, M.; Pohst, M.
1
1998
KANT V4. Zbl 0886.11070
Daberkow, M.; Fieker, C.; Klüners, J.; Pohst, M.; Roegner, K.; Schörnig, M.; Wildanger, K.
91
1997
Power integral bases in a parametric family of totally real cyclic quintics. Zbl 0899.11064
Gaál, István; Pohst, Michael
12
1997
On computing subfields. Zbl 0886.11072
Klüners, Jürgen; Pohst, Michael
7
1997
On solving relative norm equations in algebraic number fields. Zbl 0854.11076
Fieker, C.; Jurk, A.; Pohst, M.
6
1997
Simultaneous representation of integers by a pair of ternary quadratic forms – with an application to index form equations in quartic number fields. Zbl 0853.11023
Gaál, István; Pethö, Attila; Pohst, Michael
17
1996
On the resolution of index form equations in sextic fields with an imaginary quadratic subfield. Zbl 0873.11025
Gaál, István; Pohst, Michael
14
1996
On lattices over number fields. Zbl 0930.11090
Fieker, C.; Pohst, M. E.
5
1996
Computational aspects of Kummer theory. Zbl 0894.11051
Pohst, M. E.
2
1996
On integral basis reduction in global function fields. Zbl 0898.11048
Pohst, M. E.; Schörnig, M.
2
1996
On integral bases in relative quadratic extensions. Zbl 0862.11057
Daberkow, M.; Pohst, M.
1
1996
Computing invariants of algebraic number fields. Zbl 0892.11040
Pohst, Michael E.
1
1996
On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. Zbl 0853.11026
Gaál, István; Pethö, Attila; Pohst, Michael
15
1995
Computations with relative extensions of number fields with an application to the construction of Hilbert class fields. Zbl 0930.11089
Daberkow, M.; Pohst, M.
6
1995
A table of quintic number fields. Zbl 0822.11087
Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco
17
1994
On computing fundamental units. Zbl 0810.11065
Pohst, M.
3
1994
On the resolution of index form equations in dihedral quartic number fields. Zbl 0823.11074
Gaál, István; Pethö, Attila; Pohst, Michael
2
1994
In memoriam: Hans Zassenhaus (1912-1991). Zbl 0906.01029
Pohst, Michael
1
1994
Computational algebraic number theory. Zbl 0817.11063
Pohst, Michael E.
21
1993
On the resolution of index form equations in quartic number fields. Zbl 0808.11023
Gaál, István; Pethö, Attila; Pohst, Michael
9
1993
Enumeration of quartic fields of small discriminant. Zbl 0788.11060
Buchmann, Johannes; Ford, David; Pohst, Michael
8
1993
Constructing integral lattices with prescribed minimum. II. Zbl 0785.11037
Plesken, Wilhelm; Pohst, M.
3
1993
The totally real \(A_ 6\) extension of degree 6 with minimum discriminant. Zbl 0799.11052
Ford, David; Pohst, Michael
2
1993
The totally real \(A_ 5\) extension of degree 6 with minimum discriminant. Zbl 0773.11067
Ford, David; Pohst, Michael
4
1992
On the resolution of index form equations in biquadratic number fields. I. Zbl 0726.11022
Gaál, I.; Pethö, A.; Pohst, M.
11
1991
On the resolution of index form equations in biquadratic number fields. II. Zbl 0726.11023
Gaál, I.; Pethö, A.; Pohst, M.
6
1991
On the indices of biquadratic number fields having Galois group \(V_ 4\). Zbl 0724.11049
Gaál, I.; Pethö, A.; Pohst, M.
4
1991
Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088
Bosma, Wieb; Pohst, Michael
4
1991
On the resolution of index form equations. Zbl 0925.11053
Gaál, I.; Pethö, A.; Pohst, M.
2
1991
A note on index divisors. Zbl 0734.11056
Pohst, M.
1
1991
The minimum discriminant of totally real octic fields. Zbl 0719.11079
Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco
11
1990
On the computation of the values of zeta functions of totally real cubic fields. Zbl 0727.11050
Halbritter, U.; Pohst, M.
6
1990
Algorithmic algebraic number theory. Zbl 0685.12001
Pohst, M.; Zassenhaus, Hans
122
1989
Three principal tasks of computational algebraic number theory. Zbl 0694.12002
Pohst, M. E.
6
1989
On the computation of unit groups and class groups of totally real quartic fields. Zbl 0714.11002
Buchmann, J.; Pohst, M.; Schmettow, J.v.
5
1989
Computing a lattice basis from a system of generating vectors. Zbl 1209.11108
Buchmann, Johannes; Pohst, Michael
3
1989
A modification of the LLL reduction algorithm. Zbl 0629.10001
Pohst, M.
16
1987
On computing isomorphisms of equation orders. Zbl 0632.12001
Pohst, M.
7
1987
Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Zbl 0556.10022
Fincke, U.; Pohst, M.
91
1985
Constructing integral lattices with prescribed minimum. I. Zbl 0581.10014
Plesken, Wilhelm; Pohst, M.
8
1985
Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper. Zbl 0559.12003
Pohst, Michael; Zassenhaus, Hans
5
1985
A new method of computing fundamental units in algebraic number fields. Zbl 0597.12008
Fincke, U.; Pohst, M.
1
1985
A procedure for determining algebraic integers of given norm. Zbl 0541.12001
Fincke, U.; Pohst, M.
19
1983
Computation of integral solutions of a special type of systems of quadratic equations. Zbl 0539.65025
Pohst, Michael
1
1983
On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. Zbl 0478.12005
Pohst, Michael
32
1982
On effective computation of fundamental units. II. Zbl 0493.12005
Pohst, Michael; Weiler, Peter; Zassenhaus, Hans
11
1982
On effective computation of fundamental units. I. Zbl 0493.12004
Pohst, Michael; Zassenhaus, Hans
6
1982
On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. Zbl 0467.10022
Pohst, Michael
22
1981
On maximal finite irreducible subgroups of GL(n,Z). V: The eight dimensional case and a complete description of dimensions less than ten. Zbl 0431.20041
Plesken, Wilhelm; Pohst, Michael
5
1980
On maximal finite irreducible subgroups of GL(n,Z). III: The nine dimensional case. Zbl 0431.20039
Plesken, Wilhelm; Pohst, Michael
2
1980
On maximal finite irreducible subgroups of GL(n,Z).IV: Remarks on even dimensions with applications to n=8. Zbl 0431.20040
Plesken, Wilhelm; Pohst, Michael
2
1980
On unit computation in real quadratic fields. Zbl 0425.12004
Pohst, M.; Zassenhaus, Hans
1
1979
Eine Regulatorabschätzung. Zbl 0381.12006
Pohst, Michael
6
1978
Regulatorabschätzungen für total reelle algebraische Zahlkörper. Zbl 0366.12011
Pohst, Michael
15
1977
On maximal finite irreducible subgroups of GL(n, Z). I: The five and seven dimensional cases. Zbl 0359.20006
Plesken, Wilhelm; Pohst, Michael
8
1977
The minimum discriminant of seventh degree totally real algebraic number fields. Zbl 0373.12006
Pohst, M.
8
1977
An effective number geometric method of computing the fundamental units of an algebraic number field. Zbl 0374.12001
Pohst, Michael; Zassenhaus, Hans
6
1977
On maximal finite irreducible subgroups of GL(n, Z). II: The six dimensional case. Zbl 0359.20007
Plesken, Wilhelm; Pohst, Michael
5
1977
On maximal finite irreducible subgroups of GL(n,Z). I: The five and seven dimensional case. II: The six dimensional case. Zbl 0338.20007
Plesken, Wilhelm; Pohst, Michael
3
1976
Invarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante. Zbl 0292.12019
Pohst, Michael
2
1976
Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper. Zbl 0314.12014
Pohst, Michael
12
1975
Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern. Zbl 0302.12004
Pohst, M.
5
1975
Über biquadratische Zahlkörper gleicher Diskriminante. Zbl 0315.12005
Pohst, Michael
1
1975
Mehrklassige Geschlechter von Einheitsformen in total reellen algebraischen Zahlkörpern. Zbl 0277.12003
Pohst, Michael
4
1973
all top 5

Cited by 604 Authors

45 Pohst, Michael E.
30 Gaál, István
11 Klüners, Jürgen
10 Diaz y Diaz, Francisco
10 Pethő, Attila
9 Kwon, Soun-Hi
8 Buchmann, Johannes A.
7 Fieker, Claus
7 Pauli, Sebastian
6 Acciaro, Vincenzo
6 Cohen, Henri
6 Jones, John William
6 Laarhoven, Thijs
6 Tang, Hui-Chin
6 Togbé, Alain
5 Friedman, Eduardo C.
5 Fukshansky, Lenny
5 Heuberger, Clemens
5 Olivier, Michel
5 Plesken, Wilhelm
5 Robertson, Leanne
5 Smart, Nigel P.
5 Williams, Hugh Cowie
5 Ziegler, Volker
4 Battistoni, Francesco
4 Bernstein, Daniel Julius
4 Carmelo Interlando, J.
4 Daberkow, Mario
4 de Weger, Benjamin M. M.
4 Ducas, Léo
4 Eick, Bettina
4 El Fadil, Lhoussain
4 Elia, Michele
4 Jaulent, Jean-François
4 Kung, Chingjing
4 Lange, Tanja
4 Louboutin, Stéphane R.
4 Maclachlan, Colin
4 Malle, Gunter
4 Remete, László
4 Roberts, David Peter
4 Roblot, Xavier-François
4 Scheidler, Renate
4 Selmane, Schehrazad
4 Stehlé, Damien
3 Belabas, Karim
3 Ben Yakkou, Hamid
3 Chang, Ku-Young
3 Dutour-Sikiric, Mathieu
3 Grundman, Helen G.
3 Halbritter, Ulrich
3 Hanrot, Guillaume
3 Hess, Florian
3 Jacobson, Michael John jun.
3 Jadrijević, Borka
3 Laksov, Dan
3 L’Ecuyer, Pierre
3 Maharaj, Hiren
3 Mignotte, Maurice
3 Nakahara, Toru
3 Nebe, Gabriele
3 Nyul, Gábor
3 Park, Sun-Mi
3 Pfeuffer, Horst
3 Spearman, Blair Kenneth
3 Sutherland, Nicole
3 Tran, Ha Thanh Nguyen
3 Tzanakis, Nikos
3 Voight, John Michael
3 Wakabayashi, Isao
3 Williams, Kenneth S.
2 Ahn, Jeoung-Hwan
2 Akhtari, Shabnam
2 Albrecht, Martin R.
2 Arnóczki, Tímea
2 Ballet, Stéphane
2 Biasse, Jean-François
2 Bruin, Nils
2 Buchheim, Christoph
2 Chang, Xiaowen
2 Chenevier, Gaëtan
2 Couture, Raymond
2 da Nóbrega Neto, Trajano Pires
2 de Graaf, Willem Adriaan
2 Deza, Michel Marie
2 Dilcher, Karl
2 Driver, Eric D.
2 Entacher, Karl
2 Gao, Shuhong
2 Golpar-Raboky, Effat
2 Graf von Schmettow, Johannes
2 Gudivok, P. M.
2 Győry, Kálmán
2 Harrington, Joshua
2 He, Bo
2 Heninger, Nadia
2 Hofmann, Tommy
2 Hoshi, Akinari
2 Járási, István
2 Jones, Lenny K.
...and 504 more Authors
all top 5

Cited in 122 Serials

80 Mathematics of Computation
71 Journal of Number Theory
37 Journal of Symbolic Computation
29 Journal de Théorie des Nombres de Bordeaux
23 Experimental Mathematics
18 International Journal of Number Theory
17 Journal of Algebra
9 Transactions of the American Mathematical Society
6 Periodica Mathematica Hungarica
6 Acta Mathematica Hungarica
6 Designs, Codes and Cryptography
6 Finite Fields and their Applications
5 Bulletin of the Australian Mathematical Society
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Archiv der Mathematik
5 Journal of Soviet Mathematics
5 Theoretical Computer Science
5 LMS Journal of Computation and Mathematics
4 Rocky Mountain Journal of Mathematics
4 Annales de l’Institut Fourier
4 Functiones et Approximatio. Commentarii Mathematici
4 Circuits, Systems, and Signal Processing
4 Linear Algebra and its Applications
4 Acta Mathematica et Informatica Universitatis Ostraviensis
4 Journal of Mathematical Cryptology
3 Discrete Applied Mathematics
3 Inventiones Mathematicae
3 Journal of Pure and Applied Algebra
3 Cybernetics
3 Journal of Information & Optimization Sciences
3 Journal of Complexity
3 Journal of Global Optimization
3 The Ramanujan Journal
3 Journal of Discrete Mathematical Sciences & Cryptography
2 Computers & Mathematics with Applications
2 Acta Arithmetica
2 Applied Mathematics and Computation
2 Computing
2 Czechoslovak Mathematical Journal
2 Journal of Combinatorial Theory. Series A
2 Journal of Computational and Applied Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Results in Mathematics
2 Tokyo Journal of Mathematics
2 Acta Applicandae Mathematicae
2 Discrete & Computational Geometry
2 Signal Processing
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Elemente der Mathematik
2 Mathematical Programming. Series A. Series B
2 SIAM Journal on Optimization
2 Journal of Geodesy
2 Journal of Combinatorial Optimization
2 JP Journal of Algebra, Number Theory and Applications
2 Journal of Applied Mathematics and Computing
2 Journal of Algebra and its Applications
2 Advances in Mathematics of Communications
2 Annales Mathématiques du Québec
1 Communications in Algebra
1 Discrete Mathematics
1 Information Processing Letters
1 Israel Journal of Mathematics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Compositio Mathematica
1 Publications Mathématiques
1 Journal of Optimization Theory and Applications
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Tohoku Mathematical Journal. Second Series
1 European Journal of Combinatorics
1 Statistics & Probability Letters
1 Annals of Pure and Applied Logic
1 Bulletin of the Iranian Mathematical Society
1 Journal of Computer Science and Technology
1 Revista Matemática Iberoamericana
1 Journal of the Ramanujan Mathematical Society
1 Science in China. Series A
1 Geometric and Functional Analysis. GAFA
1 L’Enseignement Mathématique. 2e Série
1 European Journal of Operational Research
1 Glasnik Matematički. Serija III
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Computational Complexity
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 The Electronic Journal of Combinatorics
1 The New York Journal of Mathematics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
...and 22 more Serials
all top 5

Cited in 40 Fields

420 Number theory (11-XX)
54 Computer science (68-XX)
52 Information and communication theory, circuits (94-XX)
46 Field theory and polynomials (12-XX)
39 Algebraic geometry (14-XX)
38 Group theory and generalizations (20-XX)
27 Numerical analysis (65-XX)
14 Commutative algebra (13-XX)
12 Convex and discrete geometry (52-XX)
11 Operations research, mathematical programming (90-XX)
8 Functions of a complex variable (30-XX)
7 Combinatorics (05-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Associative rings and algebras (16-XX)
7 Manifolds and cell complexes (57-XX)
6 Quantum theory (81-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Nonassociative rings and algebras (17-XX)
3 \(K\)-theory (19-XX)
3 Special functions (33-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Geometry (51-XX)
2 Mathematical logic and foundations (03-XX)
2 Topological groups, Lie groups (22-XX)
2 Probability theory and stochastic processes (60-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)

Citations by Year

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