Edit Profile (opens in new tab) Diaz y Diaz, Francisco Compute Distance To: Compute Author ID: diaz-y-diaz.francisco Published as: Diaz y Diaz, Francisco; Diaz y Diaz, F. Documents Indexed: 43 Publications since 1975, including 1 Book Co-Authors: 15 Co-Authors with 31 Joint Publications 351 Co-Co-Authors all top 5 Co-Authors 11 single-authored 20 Cohen, Henri 20 Olivier, Michel 5 Friedman, Eduardo C. 3 Pohst, Michael E. 1 Astudillo, Sergio 1 Belabas, Karim 1 Jaulent, Jean-François 1 Llorente, Pascual 1 Martinet, Jacques 1 Pauli, Sebastian 1 Quer, Jordi 1 Schwarz, Albert S. 1 Shanks, Daniel C. 1 Soriano-Gafiuk, Florence 1 Williams, Hugh Cowie all top 5 Serials 9 Mathematics of Computation 5 Journal of Number Theory 2 Journal of Symbolic Computation 2 Journal de Théorie des Nombres de Bordeaux 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Compositio Mathematica 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Mathematical Research Letters 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Séminaire de Théorie des Nombres Fields 42 Number theory (11-XX) 2 Computer science (68-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 314 times in 195 Documents Cited by ▼ Year ▼ Enumerating quartic dihedral extensions of \({\mathbb Q}\). Zbl 1050.11104Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 31 2002 Tables minorant la racine \(n\)-ième du discriminant d’un corps de degré \(n\). Zbl 0482.12003Diaz y Diaz, Francisco 27 1980 A table of quintic number fields. Zbl 0822.11087Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco 17 1994 Counting discriminants of number fields. Zbl 1193.11109Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 16 2006 A polynomial reduction algorithm. Zbl 0758.11053Cohen, Henri; Diaz y Diaz, Francisco 12 1991 On the density of discriminants of cyclic extensions of prime degree. Zbl 1004.11063Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 12 2002 Computing ray class groups, conductors and discriminants. Zbl 0929.11064Cohen, H.; Diaz y Diaz, F.; Olivier, M. 12 1998 The minimum discriminant of totally real octic fields. Zbl 0719.11079Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco 11 1990 Petits discriminants des corps de nombres totalement imaginaires de degré 8. (Small discriminants of totally imaginary eight-degree number fields). Zbl 0606.12005Diaz y Diaz, Francisco 10 1987 Algorithmic approach to logarithmic class groups. (Approche algorithmique du groupe des classes logarithmiques.) Zbl 0930.11079Diaz y Diaz, F.; Soriano, F. 10 1999 Small generators of the ideal class group. Zbl 1183.11068Belabas, Karim; Diaz y Diaz, Francisco; Friedman, Eduardo 9 2008 Discriminant minimal et petits discriminants des corps de nombres de degre 7 avec cinq places réelles. (Minimal discriminant and small discriminants of degree 7 number field with five real places). Zbl 0653.12003Diaz y Diaz, Francisco 9 1988 Tables of octic fields with a quartic subfield. Zbl 1036.11066Cohen, H.; Diaz y Diaz, F.; Olivier, M. 9 1999 Subexponential algorithms for class group and unit computations. Zbl 0880.68067Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 9 1997 Signed fundamental domains for totally real number fields. Zbl 1325.11117Diaz y Diaz, Francisco; Friedman, Eduardo 7 2014 Valeurs minima du discriminant des corps de degré 7 ayant une seule place réelle. Zbl 0527.12007Diaz y Diaz, Francisco 7 1983 Valeurs minima du discriminant pour certains types de corps de degré 7. Zbl 0546.12004Diaz y Diaz, Francisco 7 1984 A table of totally real quintic number fields. Zbl 0726.11080Diaz y Diaz, Francisco 7 1991 On some families of imaginary quadratic fields. Zbl 0383.12005Diaz y Diaz, Francisco 7 1978 Counting discriminants of number fields of degree up to four. Zbl 0987.11080Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 7 2000 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 Imprimitive ninth-degree number fields with small discriminants. Zbl 0819.11070Diaz y Diaz, Francisco; Olivier, M. 6 1995 Cyclotomic extensions of number fields. Zbl 1056.11058Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 6 2003 Sharp lower bounds for regulators of small-degree number fields. Zbl 1415.11158Astudillo, Sergio; Diaz y Diaz, Francisco; Friedman, Eduardo 6 2016 Computation of class numbers and regulators of quadratic fields in subexponential time. (Calculs de nombres de classes et de régulateurs de corps quadratiques en temps sous-exponentiel.) Zbl 0822.11086Cohen, Henry; Diaz y Diaz, Francisco; Olivier, M. 5 1993 Counting cyclic quartic extensions of a number field. Zbl 1090.11068Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 5 2005 Sur le 3-rang des corps quadratiques. Zbl 0405.12004Diaz y Diaz, Francisco 5 1978 Construction of tables of quartic number fields. Zbl 0987.11079Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 5 2000 Colmez cones for fundamental units of totally real cubic fields. Zbl 1257.11097Diaz y Diaz, Francisco; Friedman, Eduardo 4 2012 Density of discriminants of cyclic extensions of prime degree. (Densité des discriminants des extensions cycliques de degré premier.) Zbl 0941.11042Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 2000 Algorithmic methods for finitely generated Abelian groups. Zbl 1007.20031Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 2001 Quadratic fields with 3-rank equal to 4. Zbl 0409.12009Diaz y Diaz, Francisco; Shanks, Daniel; Williams, H. C. 4 1979 Constructing complete tables of quartic fields using Kummer theory. Zbl 1081.11081Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 2003 A survey of discriminant counting. Zbl 1058.11076Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 2002 Computing ray class groups, conductors and discriminants. Zbl 0898.11046Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 1996 Sur les corps quadratiques imaginaires dont le 3-rang du groupe des classes est supérieur à 1. Zbl 0323.12007Diaz y Diaz, Francisco 2 1975 A table of totally complex number fields of small discriminants. Zbl 0912.11042Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 2 1998 Computation of relative quadratic class groups. Zbl 0912.11043Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 1 1998 Finite products of regularized products. Zbl 1147.11049Diaz y Diaz, Francisco; Friedman, Eduardo 1 2008 Sharp lower bounds for regulators of small-degree number fields. Zbl 1415.11158Astudillo, Sergio; Diaz y Diaz, Francisco; Friedman, Eduardo 6 2016 Signed fundamental domains for totally real number fields. Zbl 1325.11117Diaz y Diaz, Francisco; Friedman, Eduardo 7 2014 Colmez cones for fundamental units of totally real cubic fields. Zbl 1257.11097Diaz y Diaz, Francisco; Friedman, Eduardo 4 2012 Small generators of the ideal class group. Zbl 1183.11068Belabas, Karim; Diaz y Diaz, Francisco; Friedman, Eduardo 9 2008 Finite products of regularized products. Zbl 1147.11049Diaz y Diaz, Francisco; Friedman, Eduardo 1 2008 Counting discriminants of number fields. Zbl 1193.11109Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 16 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 Counting cyclic quartic extensions of a number field. Zbl 1090.11068Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 5 2005 Cyclotomic extensions of number fields. Zbl 1056.11058Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 6 2003 Constructing complete tables of quartic fields using Kummer theory. Zbl 1081.11081Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 2003 Enumerating quartic dihedral extensions of \({\mathbb Q}\). Zbl 1050.11104Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 31 2002 On the density of discriminants of cyclic extensions of prime degree. Zbl 1004.11063Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 12 2002 A survey of discriminant counting. Zbl 1058.11076Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 2002 Algorithmic methods for finitely generated Abelian groups. Zbl 1007.20031Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 2001 Counting discriminants of number fields of degree up to four. Zbl 0987.11080Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 7 2000 Construction of tables of quartic number fields. Zbl 0987.11079Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 5 2000 Density of discriminants of cyclic extensions of prime degree. (Densité des discriminants des extensions cycliques de degré premier.) Zbl 0941.11042Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 2000 Algorithmic approach to logarithmic class groups. (Approche algorithmique du groupe des classes logarithmiques.) Zbl 0930.11079Diaz y Diaz, F.; Soriano, F. 10 1999 Tables of octic fields with a quartic subfield. Zbl 1036.11066Cohen, H.; Diaz y Diaz, F.; Olivier, M. 9 1999 Computing ray class groups, conductors and discriminants. Zbl 0929.11064Cohen, H.; Diaz y Diaz, F.; Olivier, M. 12 1998 A table of totally complex number fields of small discriminants. Zbl 0912.11042Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 2 1998 Computation of relative quadratic class groups. Zbl 0912.11043Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 1 1998 Subexponential algorithms for class group and unit computations. Zbl 0880.68067Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 9 1997 Computing ray class groups, conductors and discriminants. Zbl 0898.11046Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 4 1996 Imprimitive ninth-degree number fields with small discriminants. Zbl 0819.11070Diaz y Diaz, Francisco; Olivier, M. 6 1995 A table of quintic number fields. Zbl 0822.11087Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco 17 1994 Computation of class numbers and regulators of quadratic fields in subexponential time. (Calculs de nombres de classes et de régulateurs de corps quadratiques en temps sous-exponentiel.) Zbl 0822.11086Cohen, Henry; Diaz y Diaz, Francisco; Olivier, M. 5 1993 A polynomial reduction algorithm. Zbl 0758.11053Cohen, Henri; Diaz y Diaz, Francisco 12 1991 A table of totally real quintic number fields. Zbl 0726.11080Diaz y Diaz, Francisco 7 1991 The minimum discriminant of totally real octic fields. Zbl 0719.11079Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco 11 1990 Discriminant minimal et petits discriminants des corps de nombres de degre 7 avec cinq places réelles. (Minimal discriminant and small discriminants of degree 7 number field with five real places). Zbl 0653.12003Diaz y Diaz, Francisco 9 1988 Petits discriminants des corps de nombres totalement imaginaires de degré 8. (Small discriminants of totally imaginary eight-degree number fields). Zbl 0606.12005Diaz y Diaz, Francisco 10 1987 Valeurs minima du discriminant pour certains types de corps de degré 7. Zbl 0546.12004Diaz y Diaz, Francisco 7 1984 Valeurs minima du discriminant des corps de degré 7 ayant une seule place réelle. Zbl 0527.12007Diaz y Diaz, Francisco 7 1983 Tables minorant la racine \(n\)-ième du discriminant d’un corps de degré \(n\). Zbl 0482.12003Diaz y Diaz, Francisco 27 1980 Quadratic fields with 3-rank equal to 4. Zbl 0409.12009Diaz y Diaz, Francisco; Shanks, Daniel; Williams, H. C. 4 1979 On some families of imaginary quadratic fields. Zbl 0383.12005Diaz y Diaz, Francisco 7 1978 Sur le 3-rang des corps quadratiques. Zbl 0405.12004Diaz y Diaz, Francisco 5 1978 Sur les corps quadratiques imaginaires dont le 3-rang du groupe des classes est supérieur à 1. Zbl 0323.12007Diaz y Diaz, Francisco 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 210 Authors 18 Cohen, Henri 14 Diaz y Diaz, Francisco 8 Olivier, Michel 8 Pohst, Michael E. 7 Friedman, Eduardo C. 7 Jaulent, Jean-François 6 Jacobson, Michael John jun. 6 Klüners, Jürgen 5 Wood, Melanie Matchett 4 Battistoni, Francesco 4 Belabas, Karim 4 Jones, John William 4 Malle, Gunter 4 Molteni, Giuseppe 4 Roblot, Xavier-François 4 Selmane, Schehrazad 4 Thorne, Frank 3 Fieker, Claus 3 Kim, Henry H. 3 Pauli, Sebastian 3 Scheidler, Renate 3 Soriano-Gafiuk, Florence 3 Voight, John Michael 3 Widmer, Martin 3 Williams, Hugh Cowie 3 Yamamura, Ken 2 Barquero-Sanchez, Adrian 2 Bhargava, Manjul 2 Brueggeman, Sharon A. 2 Buell, Duncan A. 2 Driver, Eric D. 2 Espinoza, Milton 2 Grenié, Loïc 2 Lee, Yoonjin 2 Levin, Aaron 2 Linowitz, Benjamin 2 Masri, Riad 2 Perrin-Riou, Bernadette 2 Pierce, Lillian B. 2 Pollack, Paul 2 Ramirez-Raposo, Gabriel 2 Roberts, David Peter 2 Shankar, Arul 2 Stevenhagen, Peter 2 van Hoeij, Mark 1 Alberts, Brandon 1 Altuğ, Salim Ali 1 An, Chen 1 Astudillo, Sergio 1 Bauer, Mark L. 1 Bayad, Abdelmejid 1 Bayer-Fluckiger, Eva 1 Bektemirov, Baur 1 Bertone, Cristina 1 Biasse, Jean-François 1 Billot, Patrick 1 Bisson, Gaetan 1 Booker, Andrew R. 1 Bosca, Sébastien 1 Bosma, Wieb 1 Bröker, Reinier 1 Brueggemann, Sharon 1 Brumer, Armand 1 Calegari, Frank 1 Call, Gregory S. 1 Caputo, Luca 1 Carmelo Interlando, J. 1 Chèze, Guillaume 1 Cho, Peter Jaehyun 1 Couveignes, Jean-Marc 1 da Nóbrega Neto, Trajano Pires 1 Daberkow, Mario 1 Dantas Lopes, José Othon 1 Dasgupta, Samit 1 Datskovsky, Boris A. 1 David, Chantal 1 Delbourgo, Daniel 1 Doud, Darrin 1 Dubois, Isabelle 1 Ellenberg, Jordan S. 1 Emery, Vincent 1 Fearnley, Jack 1 Fiori, Andrew 1 Flores, André Luiz 1 Foster, Kurt 1 Frei, Christopher 1 Freitas, Nuno 1 Friedrichsen, Matthew 1 Gaál, István 1 Galligo, André 1 Gélin, Alexandre 1 Gillibert, Jean 1 Glagoleva, R. Ya. 1 Glukhov, Mikhail Mikhaĭlovich 1 Goldsztejn, Alexandre 1 Goodman, Pip 1 Grandcolas, Michel 1 Gras, Georges 1 Guo, Xuejun 1 Hanrot, Guillaume ...and 110 more Authors all top 5 Cited in 54 Serials 38 Mathematics of Computation 25 Journal of Number Theory 17 Journal de Théorie des Nombres de Bordeaux 8 International Journal of Number Theory 7 Annales de l’Institut Fourier 7 Journal of Symbolic Computation 6 Proceedings of the American Mathematical Society 6 Experimental Mathematics 5 Compositio Mathematica 5 Inventiones Mathematicae 5 LMS Journal of Computation and Mathematics 5 Research in Number Theory 3 Mathematische Zeitschrift 3 The Ramanujan Journal 3 Annales Mathématiques du Québec 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Arithmetica 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Journal of Algebra 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 2 Algebra & Number Theory 2 Bollettino dell’Unione Matematica Italiana 1 Artificial Intelligence 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Journal of Soviet Mathematics 1 Michigan Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Filomat 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Algebraic & Geometric Topology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Algebra and its Applications 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences 1 Matematicheskie Voprosy Kriptografii all top 5 Cited in 21 Fields 186 Number theory (11-XX) 15 Algebraic geometry (14-XX) 12 Field theory and polynomials (12-XX) 5 Group theory and generalizations (20-XX) 5 Computer science (68-XX) 3 Commutative algebra (13-XX) 3 Numerical analysis (65-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year