Edit Profile (opens in new tab) Pohst, Michael E. Co-Author Distance Author ID: pohst.michael-e Published as: Pohst, Michael; Pohst, M.; Pohst, Michael E.; Pohst, M. E. more...less 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 740 Co-Co-Authors all top 5 Co-Authors 30 single-authored 26 Gaál, István 13 Pethő, Attila 8 Plesken, Wilhelm 6 Buchmann, Johannes A. 6 Daberkow, Mario 6 Fieker, Claus 6 Zassenhaus, Hans Julius 5 Leprévost, Franck 5 Pauli, Sebastian 4 Fincke, Ulrich 3 Diaz y Diaz, Francisco 3 Graf von Schmettow, Johannes 3 Jaulent, Jean-François 3 Schöpp, Andreas M. 3 Soriano-Gafiuk, Florence 2 Halbritter, Ulrich 2 Hess, Florian 2 Klüners, Jürgen 2 Schörnig, Martin 2 Wagner, Marcus M. 2 Wildanger, Klaus 1 Bernard, Nicolas 1 Bertók, Csanád 1 Bircan, Nihal 1 Bosma, Wieb 1 Haddad, Nasser 1 Hajdu, Lajos 1 Jüntgen, Max 1 Jurk, Andreas 1 Kovács, Tünde 1 Martinet, Jacques 1 Méndez Omaña, José 1 Nicolae, Florin 1 Olajos, Péter 1 Pohst, Maximilian C. 1 Roegner, Katherine Sue 1 Schielzeth, Daniel 1 Schwarz, Albert S. 1 Uzunkol, Osmanbey 1 Weiler, Peter 1 Williams, Hugh Cowie 1 Yun, David Y. Y. 1 Zimmer, Horst Günter all top 5 Serials 25 Mathematics of Computation 18 Journal of Number Theory 13 Experimental Mathematics 9 Journal of Symbolic Computation 4 Acta Arithmetica 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Journal für die Reine und Angewandte Mathematik 3 Publicationes Mathematicae Debrecen 3 Journal de Théorie des Nombres de Bordeaux 2 Functiones et Approximatio. Commentarii Mathematici 1 Archiv der Mathematik 1 Computing 1 Journal of Algebra 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 SIGSAM Bulletin 1 JP Journal of Algebra, Number Theory and Applications 1 International Journal of Pure and Applied Mathematics 1 Bulletin of the American Mathematical Society 1 DMV Seminar 1 Encyclopedia of Mathematics and Its Applications 1 Lecture Notes in Computer Science 1 Journal of Mathematical Cryptology all top 5 Fields 118 Number theory (11-XX) 13 Field theory and polynomials (12-XX) 12 Computer science (68-XX) 6 Group theory and generalizations (20-XX) 4 Commutative algebra (13-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 937 times in 593 Documents Cited by ▼ Year ▼ Algorithmic algebraic number theory. Zbl 0685.12001Pohst, M.; Zassenhaus, Hans 130 1989 Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Zbl 0556.10022Fincke, U.; Pohst, M. 104 1985 KANT V4. Zbl 0886.11070Daberkow, M.; Fieker, C.; Klüners, J.; Pohst, M.; Roegner, K.; Schörnig, M.; Wildanger, K. 92 1997 On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. Zbl 0478.12005Pohst, Michael 33 1982 On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. Zbl 0467.10022Pohst, Michael 27 1981 Computational algebraic number theory. Zbl 0817.11063Pohst, Michael E. 23 1993 On the indices of multiquadratic number fields. Zbl 1255.11052Pethő, Attila; Pohst, Michael E. 20 2012 A modification of the LLL reduction algorithm. Zbl 0629.10001Pohst, M. 19 1987 A procedure for determining algebraic integers of given norm. Zbl 0541.12001Fincke, 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 0853.11023Gaál, István; Pethö, Attila; Pohst, Michael 19 1996 A table of quintic number fields. Zbl 0822.11087Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco 18 1994 Power integral bases in orders of composite fields. Zbl 1020.11064Gaál, István; Olajos, Péter; Pohst, Michael 16 2002 On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. Zbl 0853.11026Gaál, István; Pethö, Attila; Pohst, Michael 15 1995 Regulatorabschätzungen für total reelle algebraische Zahlkörper. Zbl 0366.12011Pohst, Michael 14 1977 On the resolution of index form equations in sextic fields with an imaginary quadratic subfield. Zbl 0873.11025Gaál, István; Pohst, Michael 14 1996 On the resolution of relative Thue equations. Zbl 0985.11070Gaál, István; Pohst, Michael 13 2002 The minimum discriminant of totally real octic fields. Zbl 0719.11079Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco 12 1990 Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper. Zbl 0314.12014Pohst, Michael 12 1975 On the resolution of index form equations in biquadratic number fields. I. Zbl 0726.11022Gaál, I.; Pethö, A.; Pohst, M. 12 1991 On the resolution of index form equations in quartic number fields. Zbl 0808.11023Gaál, István; Pethö, Attila; Pohst, Michael 12 1993 Power integral bases in a parametric family of totally real cyclic quintics. Zbl 0899.11064Gaál, István; Pohst, Michael 12 1997 On effective computation of fundamental units. II. Zbl 0493.12005Pohst, Michael; Weiler, Peter; Zassenhaus, Hans 11 1982 Computing power integral bases in quartic relative extensions. Zbl 0993.11055Gaál, István; Pohst, Michael 11 2000 Constructing integral lattices with prescribed minimum. I. Zbl 0581.10014Plesken, Wilhelm; Pohst, M. 10 1985 On maximal finite irreducible subgroups of GL(n, Z). I: The five and seven dimensional cases. Zbl 0359.20006Plesken, Wilhelm; Pohst, Michael 8 1977 The minimum discriminant of seventh degree totally real algebraic number fields. Zbl 0373.12006Pohst, M. 8 1977 Enumeration of quartic fields of small discriminant. Zbl 0788.11060Buchmann, Johannes; Ford, David; Pohst, Michael 8 1993 Diophantine equations over global function fields. I: The Thue equation. Zbl 1157.11011Gaál, István; Pohst, Michael 8 2006 On computing isomorphisms of equation orders. Zbl 0632.12001Pohst, M. 7 1987 On effective computation of fundamental units. I. Zbl 0493.12004Pohst, Michael; Zassenhaus, Hans 7 1982 Eine Regulatorabschätzung. Zbl 0381.12006Pohst, Michael 7 1978 Computing the multiplicative group of residue class rings. Zbl 1013.11073Heß, Florian; Pauli, Sebastian; Pohst, Michael E. 7 2003 Diophantine equations over global function fields. II: \(R\)-integral solutions of Thue equations. Zbl 1142.11019Gaál, István; Pohst, Michael 7 2006 On the resolution of index form equations in biquadratic number fields. II. Zbl 0726.11023Gaál, I.; Pethö, A.; Pohst, M. 7 1991 On computing subfields. Zbl 0886.11072Klüners, Jürgen; Pohst, Michael 7 1997 Computations with relative extensions of number fields with an application to the construction of Hilbert class fields. Zbl 0930.11089Daberkow, M.; Pohst, M. 7 1995 Three principal tasks of computational algebraic number theory. Zbl 0694.12002Pohst, M. E. 6 1989 An effective number geometric method of computing the fundamental units of an algebraic number field. Zbl 0374.12001Pohst, Michael; Zassenhaus, Hans 6 1977 A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. Zbl 1148.11060Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence 6 2005 On the computation of the values of zeta functions of totally real cubic fields. Zbl 0727.11050Halbritter, U.; Pohst, M. 6 1990 On solving relative norm equations in algebraic number fields. Zbl 0854.11076Fieker, C.; Jurk, A.; Pohst, M. 6 1997 Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088Bosma, Wieb; Pohst, Michael 6 1991 Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper. Zbl 0559.12003Pohst, Michael; Zassenhaus, Hans 5 1985 On the computation of unit groups and class groups of totally real quartic fields. Zbl 0714.11002Buchmann, J.; Pohst, M.; Schmettow, J.v. 5 1989 On computing non-Galois cubic global function fields of prescribed discriminant in characteristic \(>3\). Zbl 1249.11112Pohst, Michael E. 5 2011 On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\). Zbl 1309.11088Fieker, Claus; Gaál, István; Pohst, Michael 5 2013 Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern. Zbl 0302.12004Pohst, M. 5 1975 On maximal finite irreducible subgroups of GL(n, Z). II: The six dimensional case. Zbl 0359.20007Plesken, Wilhelm; Pohst, Michael 5 1977 On the indices of biquadratic number fields having Galois group \(V_ 4\). Zbl 0724.11049Gaál, I.; Pethö, A.; Pohst, M. 5 1991 On maximal finite irreducible subgroups of GL(n,Z). V: The eight dimensional case and a complete description of dimensions less than ten. Zbl 0431.20041Plesken, Wilhelm; Pohst, Michael 5 1980 On lattices over number fields. Zbl 0930.11090Fieker, C.; Pohst, M. E. 5 1996 Algebraic algorithms. (Algebraische Algorithmen. Herausgg. von Michael Pohst.) Zbl 0958.11080Pethö, Attila 4 1999 Units in some parametric families of quartic fields. Zbl 1116.11090Leprévost, Franck; Pohst, Michael; Schöpp, Andreas 4 2007 Jacobians of genus-2 curves with a rational point of order 11. Zbl 1244.11064Bernard, Nicolas; Leprévost, Franck; Pohst, Michael 4 2009 The totally real \(A_ 5\) extension of degree 6 with minimum discriminant. Zbl 0773.11067Ford, David; Pohst, Michael 4 1992 Mehrklassige Geschlechter von Einheitsformen in total reellen algebraischen Zahlkörpern. Zbl 0277.12003Pohst, Michael 4 1973 Computing a lattice basis from a system of generating vectors. Zbl 1209.11108Buchmann, Johannes; Pohst, Michael 3 1989 On lattice bases with special properties. Zbl 0972.11060Halbritter, Ulrich; Pohst, Michael E. 3 2000 On maximal finite irreducible subgroups of GL(n,Z). I: The five and seven dimensional case. II: The six dimensional case. Zbl 0338.20007Plesken, Wilhelm; Pohst, Michael 3 1976 On the computation of Hermite-Humbert constants for real quadratic number fields. Zbl 1098.11063Pohst, Michael E.; Wagner, Marcus 3 2005 Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations. Zbl 1243.11120Gaál, István; Pohst, Michael 3 2010 Factoring polynomials over global fields. I. Zbl 1156.11349Pohst, Michael E. 3 2005 On maximal finite irreducible subgroups of GL(n,Z). III: The nine dimensional case. Zbl 0431.20039Plesken, Wilhelm; Pohst, Michael 3 1980 On computing fundamental units. Zbl 0810.11065Pohst, M. 3 1994 On multidimensional Diophantine approximation of algebraic numbers. Zbl 1419.11097Pethő, Attila; Pohst, Michael E.; Bertók, Csanád 3 2017 Computational aspects of Kummer theory. Zbl 0894.11051Pohst, M. E. 3 1996 Constructing integral lattices with prescribed minimum. II. Zbl 0785.11037Plesken, Wilhelm; Pohst, M. 3 1993 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 1126.11321Leprévost, Franck; Pohst, Michael; Schöpp, Andreas 2 2003 On real quadratic number fields suitable for cryptography. Zbl 1207.11107Schielzeth, Daniel; Pohst, Michael E. 2 2005 Diophantine equations over global function fields. III: An application to resultant form equations. Zbl 1233.11036Gaál, István; Pohst, Michael 2 2008 Computation of 2-groups of narrow logarithmic divisor classes of number fields. Zbl 1176.11068Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence 2 2009 Dependency of units in number fields. Zbl 1097.11061Fieker, Claus; Pohst, Michael E. 2 2006 Solving resultant form equations over number fields. Zbl 1214.11042Gaál, István; Pohst, Michael 2 2008 Factoring polynomials over global fields. II. Zbl 1156.11347Méndez Omaña, José; Pohst, Michael E. 2 2005 On the resolution of index form equations in dihedral quartic number fields. Zbl 0823.11074Gaál, István; Pethö, Attila; Pohst, Michael 2 1994 On maximal finite irreducible subgroups of GL(n,Z).IV: Remarks on even dimensions with applications to n=8. Zbl 0431.20040Plesken, Wilhelm; Pohst, Michael 2 1980 The totally real \(A_ 6\) extension of degree 6 with minimum discriminant. Zbl 0799.11052Ford, David; Pohst, Michael 2 1993 Computing invariants of algebraic number fields. Zbl 0892.11040Pohst, Michael E. 2 1996 Tables of unit groups and class groups of quintic fields and a regulator bound. Zbl 0957.11058Pohst, M.; Wildanger, K. 2 1998 On integral basis reduction in global function fields. Zbl 0898.11048Pohst, M. E.; Schörnig, M. 2 1996 On the computation of Hilbert class fields. Zbl 0910.11058Daberkow, M.; Pohst, M. 2 1998 The \(S_5\) extensions of degree 6 with minimum discriminant. Zbl 0921.11052Ford, David; Pohst, Michael; Daberkow, Mario; Haddad, Nasser 2 1998 On the resolution of index form equations. Zbl 0925.11053Gaál, I.; Pethö, A.; Pohst, M. 2 1991 Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Zbl 1103.11002 2 2006 Invarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante. Zbl 0292.12019Pohst, Michael 2 1976 On computing integral points of a Mordell curve – the method of Wildanger revisited. Zbl 1465.11237Gaál, István; Pohst, Maximilian C.; Pohst, Michael E. 1 2021 Computation of integral solutions of a special type of systems of quadratic equations. Zbl 0539.65025Pohst, Michael 1 1983 A new method of computing fundamental units in algebraic number fields. Zbl 0597.12008Fincke, U.; Pohst, M. 1 1985 A lower regulator bound for number fields. Zbl 1215.11124Fieker, Claus; Pohst, Michael E. 1 2008 On Legendre’s equation over number fields. Zbl 0980.11020Pohst, Michael E. 1 2000 On reduction algorithms in non-linear integer mathematical programming. Zbl 0532.90071Fincke, Ulrich; Pohst, Michael 1 1984 On unit computation in real quadratic fields. Zbl 0425.12004Pohst, M.; Zassenhaus, Hans 1 1979 On the powers of integers and conductors of quadratic fields. Zbl 1274.11161Bircan, Nihal; Pohst, Michael E. 1 2013 Über biquadratische Zahlkörper gleicher Diskriminante. Zbl 0315.12005Pohst, Michael 1 1975 On the computation of Hermite-Humbert constants: the algorithm of Cohn revisited. Zbl 1215.11125Pohst, M. E.; Wagner, Marcus 1 2009 Computation of 2-groups of positive classes of exceptional number fields. Zbl 1201.11106Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence 1 2008 A note on index divisors. Zbl 0734.11056Pohst, M. 1 1991 In memoriam: Hans Zassenhaus (1912-1991). Zbl 0906.01029Pohst, Michael 1 1994 From class groups to class fields. Zbl 1015.11068Pohst, Michael E. 1 1999 On integral bases in relative quadratic extensions. Zbl 0862.11057Daberkow, M.; Pohst, M. 1 1996 On computing integral points of a Mordell curve – the method of Wildanger revisited. Zbl 1465.11237Gaál, István; Pohst, Maximilian C.; Pohst, Michael E. 1 2021 On multidimensional Diophantine approximation of algebraic numbers. Zbl 1419.11097Pethő, Attila; Pohst, Michael E.; Bertók, Csanád 3 2017 On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\). Zbl 1309.11088Fieker, Claus; Gaál, István; Pohst, Michael 5 2013 On the powers of integers and conductors of quadratic fields. Zbl 1274.11161Bircan, Nihal; Pohst, Michael E. 1 2013 On the indices of multiquadratic number fields. Zbl 1255.11052Pethő, Attila; Pohst, Michael E. 20 2012 On computing non-Galois cubic global function fields of prescribed discriminant in characteristic \(>3\). Zbl 1249.11112Pohst, 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 1243.11120Gaál, István; Pohst, Michael 3 2010 Jacobians of genus-2 curves with a rational point of order 11. Zbl 1244.11064Bernard, Nicolas; Leprévost, Franck; Pohst, Michael 4 2009 Computation of 2-groups of narrow logarithmic divisor classes of number fields. Zbl 1176.11068Jaulent, 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 1215.11125Pohst, M. E.; Wagner, Marcus 1 2009 Diophantine equations over global function fields. III: An application to resultant form equations. Zbl 1233.11036Gaál, István; Pohst, Michael 2 2008 Solving resultant form equations over number fields. Zbl 1214.11042Gaál, István; Pohst, Michael 2 2008 A lower regulator bound for number fields. Zbl 1215.11124Fieker, Claus; Pohst, Michael E. 1 2008 Computation of 2-groups of positive classes of exceptional number fields. Zbl 1201.11106Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence 1 2008 Units in some parametric families of quartic fields. Zbl 1116.11090Leprévost, Franck; Pohst, Michael; Schöpp, Andreas 4 2007 Diophantine equations over global function fields. I: The Thue equation. Zbl 1157.11011Gaál, István; Pohst, Michael 8 2006 Diophantine equations over global function fields. II: \(R\)-integral solutions of Thue equations. Zbl 1142.11019Gaál, István; Pohst, Michael 7 2006 Dependency of units in number fields. Zbl 1097.11061Fieker, Claus; Pohst, Michael E. 2 2006 Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Zbl 1103.11002 2 2006 A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. Zbl 1148.11060Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence 6 2005 On the computation of Hermite-Humbert constants for real quadratic number fields. Zbl 1098.11063Pohst, Michael E.; Wagner, Marcus 3 2005 Factoring polynomials over global fields. I. Zbl 1156.11349Pohst, Michael E. 3 2005 On real quadratic number fields suitable for cryptography. Zbl 1207.11107Schielzeth, Daniel; Pohst, Michael E. 2 2005 Factoring polynomials over global fields. II. Zbl 1156.11347Méndez Omaña, José; Pohst, Michael E. 2 2005 Computing the multiplicative group of residue class rings. Zbl 1013.11073Heß, 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 1126.11321Leprévost, Franck; Pohst, Michael; Schöpp, Andreas 2 2003 Power integral bases in orders of composite fields. Zbl 1020.11064Gaál, István; Olajos, Péter; Pohst, Michael 16 2002 On the resolution of relative Thue equations. Zbl 0985.11070Gaál, István; Pohst, Michael 13 2002 Computing power integral bases in quartic relative extensions. Zbl 0993.11055Gaál, István; Pohst, Michael 11 2000 On lattice bases with special properties. Zbl 0972.11060Halbritter, Ulrich; Pohst, Michael E. 3 2000 On Legendre’s equation over number fields. Zbl 0980.11020Pohst, Michael E. 1 2000 Algebraic algorithms. (Algebraische Algorithmen. Herausgg. von Michael Pohst.) Zbl 0958.11080Pethö, Attila 4 1999 From class groups to class fields. Zbl 1015.11068Pohst, Michael E. 1 1999 Tables of unit groups and class groups of quintic fields and a regulator bound. Zbl 0957.11058Pohst, M.; Wildanger, K. 2 1998 On the computation of Hilbert class fields. Zbl 0910.11058Daberkow, M.; Pohst, M. 2 1998 The \(S_5\) extensions of degree 6 with minimum discriminant. Zbl 0921.11052Ford, David; Pohst, Michael; Daberkow, Mario; Haddad, Nasser 2 1998 KANT V4. Zbl 0886.11070Daberkow, M.; Fieker, C.; Klüners, J.; Pohst, M.; Roegner, K.; Schörnig, M.; Wildanger, K. 92 1997 Power integral bases in a parametric family of totally real cyclic quintics. Zbl 0899.11064Gaál, István; Pohst, Michael 12 1997 On computing subfields. Zbl 0886.11072Klüners, Jürgen; Pohst, Michael 7 1997 On solving relative norm equations in algebraic number fields. Zbl 0854.11076Fieker, 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 0853.11023Gaál, István; Pethö, Attila; Pohst, Michael 19 1996 On the resolution of index form equations in sextic fields with an imaginary quadratic subfield. Zbl 0873.11025Gaál, István; Pohst, Michael 14 1996 On lattices over number fields. Zbl 0930.11090Fieker, C.; Pohst, M. E. 5 1996 Computational aspects of Kummer theory. Zbl 0894.11051Pohst, M. E. 3 1996 Computing invariants of algebraic number fields. Zbl 0892.11040Pohst, Michael E. 2 1996 On integral basis reduction in global function fields. Zbl 0898.11048Pohst, M. E.; Schörnig, M. 2 1996 On integral bases in relative quadratic extensions. Zbl 0862.11057Daberkow, M.; Pohst, M. 1 1996 On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. Zbl 0853.11026Gaál, 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 0930.11089Daberkow, M.; Pohst, M. 7 1995 A table of quintic number fields. Zbl 0822.11087Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco 18 1994 On computing fundamental units. Zbl 0810.11065Pohst, M. 3 1994 On the resolution of index form equations in dihedral quartic number fields. Zbl 0823.11074Gaál, István; Pethö, Attila; Pohst, Michael 2 1994 In memoriam: Hans Zassenhaus (1912-1991). Zbl 0906.01029Pohst, Michael 1 1994 Computational algebraic number theory. Zbl 0817.11063Pohst, Michael E. 23 1993 On the resolution of index form equations in quartic number fields. Zbl 0808.11023Gaál, István; Pethö, Attila; Pohst, Michael 12 1993 Enumeration of quartic fields of small discriminant. Zbl 0788.11060Buchmann, Johannes; Ford, David; Pohst, Michael 8 1993 Constructing integral lattices with prescribed minimum. II. Zbl 0785.11037Plesken, Wilhelm; Pohst, M. 3 1993 The totally real \(A_ 6\) extension of degree 6 with minimum discriminant. Zbl 0799.11052Ford, David; Pohst, Michael 2 1993 The totally real \(A_ 5\) extension of degree 6 with minimum discriminant. Zbl 0773.11067Ford, David; Pohst, Michael 4 1992 On the resolution of index form equations in biquadratic number fields. I. Zbl 0726.11022Gaál, I.; Pethö, A.; Pohst, M. 12 1991 On the resolution of index form equations in biquadratic number fields. II. Zbl 0726.11023Gaál, I.; Pethö, A.; Pohst, M. 7 1991 Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088Bosma, Wieb; Pohst, Michael 6 1991 On the indices of biquadratic number fields having Galois group \(V_ 4\). Zbl 0724.11049Gaál, I.; Pethö, A.; Pohst, M. 5 1991 On the resolution of index form equations. Zbl 0925.11053Gaál, I.; Pethö, A.; Pohst, M. 2 1991 A note on index divisors. Zbl 0734.11056Pohst, M. 1 1991 The minimum discriminant of totally real octic fields. Zbl 0719.11079Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco 12 1990 On the computation of the values of zeta functions of totally real cubic fields. Zbl 0727.11050Halbritter, U.; Pohst, M. 6 1990 Algorithmic algebraic number theory. Zbl 0685.12001Pohst, M.; Zassenhaus, Hans 130 1989 Three principal tasks of computational algebraic number theory. Zbl 0694.12002Pohst, M. E. 6 1989 On the computation of unit groups and class groups of totally real quartic fields. Zbl 0714.11002Buchmann, J.; Pohst, M.; Schmettow, J.v. 5 1989 Computing a lattice basis from a system of generating vectors. Zbl 1209.11108Buchmann, Johannes; Pohst, Michael 3 1989 A modification of the LLL reduction algorithm. Zbl 0629.10001Pohst, M. 19 1987 On computing isomorphisms of equation orders. Zbl 0632.12001Pohst, M. 7 1987 Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Zbl 0556.10022Fincke, U.; Pohst, M. 104 1985 Constructing integral lattices with prescribed minimum. I. Zbl 0581.10014Plesken, Wilhelm; Pohst, M. 10 1985 Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper. Zbl 0559.12003Pohst, Michael; Zassenhaus, Hans 5 1985 A new method of computing fundamental units in algebraic number fields. Zbl 0597.12008Fincke, U.; Pohst, M. 1 1985 On reduction algorithms in non-linear integer mathematical programming. Zbl 0532.90071Fincke, Ulrich; Pohst, Michael 1 1984 A procedure for determining algebraic integers of given norm. Zbl 0541.12001Fincke, U.; Pohst, M. 19 1983 Computation of integral solutions of a special type of systems of quadratic equations. Zbl 0539.65025Pohst, Michael 1 1983 On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. Zbl 0478.12005Pohst, Michael 33 1982 On effective computation of fundamental units. II. Zbl 0493.12005Pohst, Michael; Weiler, Peter; Zassenhaus, Hans 11 1982 On effective computation of fundamental units. I. Zbl 0493.12004Pohst, Michael; Zassenhaus, Hans 7 1982 On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. Zbl 0467.10022Pohst, Michael 27 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 0431.20041Plesken, Wilhelm; Pohst, Michael 5 1980 On maximal finite irreducible subgroups of GL(n,Z). III: The nine dimensional case. Zbl 0431.20039Plesken, Wilhelm; Pohst, Michael 3 1980 On maximal finite irreducible subgroups of GL(n,Z).IV: Remarks on even dimensions with applications to n=8. Zbl 0431.20040Plesken, Wilhelm; Pohst, Michael 2 1980 On unit computation in real quadratic fields. Zbl 0425.12004Pohst, M.; Zassenhaus, Hans 1 1979 Eine Regulatorabschätzung. Zbl 0381.12006Pohst, Michael 7 1978 Regulatorabschätzungen für total reelle algebraische Zahlkörper. Zbl 0366.12011Pohst, Michael 14 1977 On maximal finite irreducible subgroups of GL(n, Z). I: The five and seven dimensional cases. Zbl 0359.20006Plesken, Wilhelm; Pohst, Michael 8 1977 The minimum discriminant of seventh degree totally real algebraic number fields. Zbl 0373.12006Pohst, M. 8 1977 An effective number geometric method of computing the fundamental units of an algebraic number field. Zbl 0374.12001Pohst, Michael; Zassenhaus, Hans 6 1977 On maximal finite irreducible subgroups of GL(n, Z). II: The six dimensional case. Zbl 0359.20007Plesken, 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 0338.20007Plesken, Wilhelm; Pohst, Michael 3 1976 Invarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante. Zbl 0292.12019Pohst, Michael 2 1976 Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper. Zbl 0314.12014Pohst, Michael 12 1975 Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern. Zbl 0302.12004Pohst, M. 5 1975 Über biquadratische Zahlkörper gleicher Diskriminante. Zbl 0315.12005Pohst, Michael 1 1975 Mehrklassige Geschlechter von Einheitsformen in total reellen algebraischen Zahlkörpern. Zbl 0277.12003Pohst, Michael 4 1973 all cited Publications top 5 cited Publications all top 5 Cited by 650 Authors 45 Pohst, Michael E. 33 Gaál, István 13 El Fadil, Lhoussain 11 Klüners, Jürgen 10 Diaz y Diaz, Francisco 10 Fieker, Claus 10 Pethő, Attila 9 Kwon, Soun-Hi 8 Buchmann, Johannes A. 8 Laarhoven, Thijs 7 Ben Yakkou, Hamid 7 Pauli, Sebastian 6 Acciaro, Vincenzo 6 Cohen, Henri 6 Friedman, Eduardo C. 6 Jones, John William 6 Stehlé, Damien 6 Tang, Hui-Chin 6 Togbé, Alain 5 Ducas, Léo 5 Fukshansky, Lenny 5 Heuberger, Clemens 5 Olivier, Michel 5 Plesken, Wilhelm 5 Remete, László 5 Robertson, Leanne 5 Smart, Nigel Paul 5 Williams, Hugh Cowie 5 Ziegler, Volker 4 Battistoni, Francesco 4 Bernstein, Daniel Julius 4 Biasse, Jean-François 4 Carmelo Interlando, J. 4 Daberkow, Mario 4 de Weger, Benjamin M. M. 4 Eick, Bettina 4 Elia, Michele 4 Hanrot, Guillaume 4 Hofmann, Tommy 4 Jaulent, Jean-François 4 Kung, Chingjing 4 Lange, Tanja 4 Louboutin, Stéphane R. 4 Maclachlan, Colin 4 Malle, Gunter 4 Nebe, Gabriele 4 Roberts, David Peter 4 Roblot, Xavier-François 4 Scheidler, Renate 4 Selmane, Schehrazad 4 Tran, Ha Thanh Nguyen 3 Akhtari, Shabnam 3 Belabas, Karim 3 Bruin, Nils 3 Chang, Ku-Young 3 Chang, Xiaowen 3 Dilcher, Karl 3 Dutour-Sikiric, Mathieu 3 Grundman, Helen G. 3 Halbritter, Ulrich 3 Hess, Florian 3 Jacobson, Michael John jun. 3 Jadrijević, Borka 3 Jakhar, Anuj 3 Kchit, Omar 3 Laksov, Dan 3 L’Ecuyer, Pierre 3 Maharaj, Hiren 3 Mignotte, Maurice 3 Nakahara, Toru 3 Nguyen, Phong Q. 3 Nyul, Gábor 3 Park, Sun-Mi 3 Pfeuffer, Horst 3 Sijsling, Jeroen 3 Spearman, Blair Kenneth 3 Sutherland, Nicole 3 Tzanakis, Nikos 3 Ulas, Maciej 3 van Woerden, Wessel P. J. 3 Voight, John Michael 3 Wakabayashi, Isao 3 Williams, Kenneth S. 2 Ahn, Jeoung-Hwan 2 Albrecht, Martin R. 2 Arnóczki, Tímea 2 Ballet, Stéphane 2 Bauch, Jens-Dietrich 2 Bilu, Yuri F. 2 Buchheim, Christoph 2 Chenevier, Gaëtan 2 Couture, Raymond 2 da Nóbrega Neto, Trajano Pires 2 de Graaf, Willem Adriaan 2 de Weger, Benne 2 Deza, Michel Marie 2 Driver, Eric D. 2 Elsenhans, Andreas-Stephan 2 Entacher, Karl 2 Gao, Shuhong ...and 550 more Authors all top 5 Cited in 133 Serials 81 Mathematics of Computation 74 Journal of Number Theory 38 Journal of Symbolic Computation 29 Journal de Théorie des Nombres de Bordeaux 24 Experimental Mathematics 20 International Journal of Number Theory 17 Journal of Algebra 9 Transactions of the American Mathematical Society 7 Periodica Mathematica Hungarica 7 Acta Mathematica Hungarica 6 Rocky Mountain Journal of Mathematics 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 Archiv der Mathematik 5 Functiones et Approximatio. Commentarii Mathematici 5 Journal of Soviet Mathematics 5 Theoretical Computer Science 5 LMS Journal of Computation and Mathematics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Acta Arithmetica 4 Annales de l’Institut Fourier 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 Communications in Algebra 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 3 JP Journal of Algebra, Number Theory and Applications 2 Computers & Mathematics with Applications 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 Memoirs of the American Mathematical Society 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 Journal of Applied Mathematics and Computing 2 Journal of Algebra and its Applications 2 Advances in Mathematics of Communications 2 São Paulo Journal of Mathematical Sciences 2 Annales Mathématiques du Québec 2 Research in Number Theory 2 Matematicheskie Voprosy Kriptografii 1 Discrete Mathematics 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Mathematika 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tôhoku 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 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 ...and 33 more Serials all top 5 Cited in 40 Fields 461 Number theory (11-XX) 66 Information and communication theory, circuits (94-XX) 55 Computer science (68-XX) 45 Field theory and polynomials (12-XX) 44 Algebraic geometry (14-XX) 40 Group theory and generalizations (20-XX) 27 Numerical analysis (65-XX) 16 Commutative algebra (13-XX) 13 Convex and discrete geometry (52-XX) 11 Operations research, mathematical programming (90-XX) 9 Combinatorics (05-XX) 8 Functions of a complex variable (30-XX) 8 Quantum theory (81-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Associative rings and algebras (16-XX) 7 Manifolds and cell complexes (57-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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