×

Diaz y Diaz, Francisco

Compute Distance To:
Author ID: diaz-y-diaz.francisco Recent zbMATH articles by "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

Publications by Year

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 1050.11104
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
31
2002
Tables minorant la racine \(n\)-ième du discriminant d’un corps de degré \(n\). Zbl 0482.12003
Diaz y Diaz, Francisco
27
1980
A table of quintic number fields. Zbl 0822.11087
Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco
17
1994
Counting discriminants of number fields. Zbl 1193.11109
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
16
2006
A polynomial reduction algorithm. Zbl 0758.11053
Cohen, Henri; Diaz y Diaz, Francisco
12
1991
On the density of discriminants of cyclic extensions of prime degree. Zbl 1004.11063
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
12
2002
Computing ray class groups, conductors and discriminants. Zbl 0929.11064
Cohen, H.; Diaz y Diaz, F.; Olivier, M.
12
1998
The minimum discriminant of totally real octic fields. Zbl 0719.11079
Pohst, 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 0606.12005
Diaz y Diaz, Francisco
10
1987
Algorithmic approach to logarithmic class groups. (Approche algorithmique du groupe des classes logarithmiques.) Zbl 0930.11079
Diaz y Diaz, F.; Soriano, F.
10
1999
Small generators of the ideal class group. Zbl 1183.11068
Belabas, 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 0653.12003
Diaz y Diaz, Francisco
9
1988
Tables of octic fields with a quartic subfield. Zbl 1036.11066
Cohen, H.; Diaz y Diaz, F.; Olivier, M.
9
1999
Subexponential algorithms for class group and unit computations. Zbl 0880.68067
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
9
1997
Signed fundamental domains for totally real number fields. Zbl 1325.11117
Diaz y Diaz, Francisco; Friedman, Eduardo
7
2014
Valeurs minima du discriminant des corps de degré 7 ayant une seule place réelle. Zbl 0527.12007
Diaz y Diaz, Francisco
7
1983
Valeurs minima du discriminant pour certains types de corps de degré 7. Zbl 0546.12004
Diaz y Diaz, Francisco
7
1984
A table of totally real quintic number fields. Zbl 0726.11080
Diaz y Diaz, Francisco
7
1991
On some families of imaginary quadratic fields. Zbl 0383.12005
Diaz y Diaz, Francisco
7
1978
Counting discriminants of number fields of degree up to four. Zbl 0987.11080
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
7
2000
A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. Zbl 1148.11060
Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence
6
2005
Imprimitive ninth-degree number fields with small discriminants. Zbl 0819.11070
Diaz y Diaz, Francisco; Olivier, M.
6
1995
Cyclotomic extensions of number fields. Zbl 1056.11058
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
6
2003
Sharp lower bounds for regulators of small-degree number fields. Zbl 1415.11158
Astudillo, 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 0822.11086
Cohen, Henry; Diaz y Diaz, Francisco; Olivier, M.
5
1993
Counting cyclic quartic extensions of a number field. Zbl 1090.11068
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
5
2005
Sur le 3-rang des corps quadratiques. Zbl 0405.12004
Diaz y Diaz, Francisco
5
1978
Construction of tables of quartic number fields. Zbl 0987.11079
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
5
2000
Colmez cones for fundamental units of totally real cubic fields. Zbl 1257.11097
Diaz 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 0941.11042
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
2000
Algorithmic methods for finitely generated Abelian groups. Zbl 1007.20031
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
2001
Quadratic fields with 3-rank equal to 4. Zbl 0409.12009
Diaz y Diaz, Francisco; Shanks, Daniel; Williams, H. C.
4
1979
Constructing complete tables of quartic fields using Kummer theory. Zbl 1081.11081
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
2003
A survey of discriminant counting. Zbl 1058.11076
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
2002
Computing ray class groups, conductors and discriminants. Zbl 0898.11046
Cohen, 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 0323.12007
Diaz y Diaz, Francisco
2
1975
A table of totally complex number fields of small discriminants. Zbl 0912.11042
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
2
1998
Computation of relative quadratic class groups. Zbl 0912.11043
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
1
1998
Finite products of regularized products. Zbl 1147.11049
Diaz y Diaz, Francisco; Friedman, Eduardo
1
2008
Sharp lower bounds for regulators of small-degree number fields. Zbl 1415.11158
Astudillo, Sergio; Diaz y Diaz, Francisco; Friedman, Eduardo
6
2016
Signed fundamental domains for totally real number fields. Zbl 1325.11117
Diaz y Diaz, Francisco; Friedman, Eduardo
7
2014
Colmez cones for fundamental units of totally real cubic fields. Zbl 1257.11097
Diaz y Diaz, Francisco; Friedman, Eduardo
4
2012
Small generators of the ideal class group. Zbl 1183.11068
Belabas, Karim; Diaz y Diaz, Francisco; Friedman, Eduardo
9
2008
Finite products of regularized products. Zbl 1147.11049
Diaz y Diaz, Francisco; Friedman, Eduardo
1
2008
Counting discriminants of number fields. Zbl 1193.11109
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
16
2006
A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. Zbl 1148.11060
Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence
6
2005
Counting cyclic quartic extensions of a number field. Zbl 1090.11068
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
5
2005
Cyclotomic extensions of number fields. Zbl 1056.11058
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
6
2003
Constructing complete tables of quartic fields using Kummer theory. Zbl 1081.11081
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
2003
Enumerating quartic dihedral extensions of \({\mathbb Q}\). Zbl 1050.11104
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
31
2002
On the density of discriminants of cyclic extensions of prime degree. Zbl 1004.11063
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
12
2002
A survey of discriminant counting. Zbl 1058.11076
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
2002
Algorithmic methods for finitely generated Abelian groups. Zbl 1007.20031
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
2001
Counting discriminants of number fields of degree up to four. Zbl 0987.11080
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
7
2000
Construction of tables of quartic number fields. Zbl 0987.11079
Cohen, 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 0941.11042
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
2000
Algorithmic approach to logarithmic class groups. (Approche algorithmique du groupe des classes logarithmiques.) Zbl 0930.11079
Diaz y Diaz, F.; Soriano, F.
10
1999
Tables of octic fields with a quartic subfield. Zbl 1036.11066
Cohen, H.; Diaz y Diaz, F.; Olivier, M.
9
1999
Computing ray class groups, conductors and discriminants. Zbl 0929.11064
Cohen, H.; Diaz y Diaz, F.; Olivier, M.
12
1998
A table of totally complex number fields of small discriminants. Zbl 0912.11042
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
2
1998
Computation of relative quadratic class groups. Zbl 0912.11043
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
1
1998
Subexponential algorithms for class group and unit computations. Zbl 0880.68067
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
9
1997
Computing ray class groups, conductors and discriminants. Zbl 0898.11046
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel
4
1996
Imprimitive ninth-degree number fields with small discriminants. Zbl 0819.11070
Diaz y Diaz, Francisco; Olivier, M.
6
1995
A table of quintic number fields. Zbl 0822.11087
Schwarz, 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 0822.11086
Cohen, Henry; Diaz y Diaz, Francisco; Olivier, M.
5
1993
A polynomial reduction algorithm. Zbl 0758.11053
Cohen, Henri; Diaz y Diaz, Francisco
12
1991
A table of totally real quintic number fields. Zbl 0726.11080
Diaz y Diaz, Francisco
7
1991
The minimum discriminant of totally real octic fields. Zbl 0719.11079
Pohst, 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 0653.12003
Diaz 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 0606.12005
Diaz y Diaz, Francisco
10
1987
Valeurs minima du discriminant pour certains types de corps de degré 7. Zbl 0546.12004
Diaz y Diaz, Francisco
7
1984
Valeurs minima du discriminant des corps de degré 7 ayant une seule place réelle. Zbl 0527.12007
Diaz y Diaz, Francisco
7
1983
Tables minorant la racine \(n\)-ième du discriminant d’un corps de degré \(n\). Zbl 0482.12003
Diaz y Diaz, Francisco
27
1980
Quadratic fields with 3-rank equal to 4. Zbl 0409.12009
Diaz y Diaz, Francisco; Shanks, Daniel; Williams, H. C.
4
1979
On some families of imaginary quadratic fields. Zbl 0383.12005
Diaz y Diaz, Francisco
7
1978
Sur le 3-rang des corps quadratiques. Zbl 0405.12004
Diaz y Diaz, Francisco
5
1978
Sur les corps quadratiques imaginaires dont le 3-rang du groupe des classes est supérieur à 1. Zbl 0323.12007
Diaz y Diaz, Francisco
2
1975
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

Citations by Year