Publications of Werner Bley
- W. Bley: Berechnung der Einheitengruppen von einfach-reellen kubischen
Zahlkörpern , Diplomarbeit, Universität Augsburg 1989.
- W. Bley: Konstruktion von Ganzheitsbasen in abelschen
Erweiterungen von imaginär-quadratischen Zahlkörpern , Dissertation,
Universität Augsburg 1991.
- W. Bley: Konstruktion von Ganzheitsbasen in abelschen Erweiterungen von
imaginär-quadratischen Zahlkörpern , J.~Number Theory 46 (1994), 334--371.
- W. Bley: Galois module structure of Kummer orders and elliptic units,
manuscripta mathematica 82 (1994), 381--392.
- W. Bley: Galois module structure and elliptic functions,
J. Number Theory 52 (1995), 216--242.
- W. Bley: A Leopoldt-type result for rings of integers of cyclotomic extensions,
Canad. Math. Bull. 38 (1995), 141--148.
- M. Bayad, W. Bley, Ph. Cassou-Noguès: Sommes arithmétiques
et éléments de Stickelberger, J. Algebra 179
(1996), 145--190.
- W. Bley, D. Burns: Über arithmetische assoziierte Ordnungen,
J. Number Theory 58 (1996), 361--387.
- W. Bley: Computing associated orders and Galois generating elements
of unit lattices, J. Number Theory 62 (1997), 242--256.
- W. Bley: Elliptic curves and module structure over Hopf orders
and The conjecture of Chinburg-Stark for abelian extensions of a quadratic
imaginary field , Habilitationsschrift,
Universität Augsburg 1998.
- W. Bley, M. Klebel: An infinite family of elliptic curves and Galois module
structure, Pacific J. Math. 185 (1998), 221--235.
- W. Bley, R. Boltje: Lubin-Tate formal groups and module structure over
Hopf orders, Journal de Théorie des Nombres de Bordeaux
11 (1999), 269--305.
- W. Bley: An algorithmic approach to determining local and global
module structures, Anhang zu D. Burns: On the equivariant structure
of ideals in Galois extensions of fields, Commentarii
Mathematici Helvetici 75 (2000), 36--42.
- W. Bley, D. Burns: Equivariant Tamagawa numbers, Fitting ideals and
Iwasawa theory, Compositio Mathematica 126 (2001), 213--247.
- W. Bley, D. Burns: Explicit Units and the Equivariant Tamagawa Number Conjecture,
American Journal of Mathematics 123 (2001), 931--949.
- W. Bley, D. Burns: Étale cohomology and a generalisation of
Hilbert's Theorem 132, Math. Z. 239 (2002), 1--25.
- W. Bley: Numerical evidence for a conjectural generalization of
Hilbert's Theorem 132, LMS J.Comput.Math. 6 (2003), 68--88.
- W. Bley: Computation of Stark-Tamagawa units ,
Math.Comput. 72 (2003), 1963--1974.
- W. Bley, D. Burns: Equivariant epsilon constants,
discriminants and étale cohomology, Proc. London Math. Soc.
87 (2003), 545--590.
- W. Bley, R. Boltje: Cohomlogical Mackey functors in Number
Theory, J. Number Theory 105 (2004), 1--37.
- W. Bley: Wild Euler Systems of Elliptic Units and the
Equivariant Tamagawa Number Conjecture ,
Crelle Journal 577 (2004), 117--146.
- W. Bley, M. Endres: Picard groups and refined discrete logarithms
, LMS J.Comput.Math. 8 (2005), 1--16.
- W. Bley, R. Boltje: Computation of locally free class groups
, in: F.Hess, S.Pauli, M.Pohst (Eds.), Algorithmic Number Theory, Lecture Notes in Computer
Science 4076 (2006), Springer, 72--86.
- W. Bley: On the equivariant Tamagawa number conjecture for
abelian extensions of a quadratic imaginary field
, Documenta Mathematica 11 (2006), 73--118.
- W. Bley, H. Johnston: Computing generators of free modules over orders in group algebras
, Journal of Algebra (Computational Section) 320 (2008), 836--852.
- W. Bley, M.Breuning: Exact algorithms and Epsilon Constant Conjectures
,
Illinois Journal of Mathematics 52, No. 3 (2009), 773-797.
Zum Journal
- W. Bley, S.W.M.J. Wilson: Computations in relative algebraic K-groups
, LMS JCM 12 (2009), 166--194.
Zum Journal
- W. Bley, H. Johnston : Computing generators of free modules over orders in group algebras II,
pdf-File , Math.Comp. 80 (2011), 2411 -- 2434,
Zum Journal
- W. Bley : Numerical evidence for the equivariant Birch and Swinnerton-Dyer conjecture,
pdf-File , Experiment.Math. 20 (2011), 426 -- 456.
- W. Bley : Numerical evidence for the equivariant
Birch and Swinnerton-Dyer conjecture(Part II),
pdf-File , Math. Comp. 81 (2012), 1681-1705.
- W. Bley : La conjecture equivariante de Tamagawa,
Publications mathematiques de Besancon 2012/1,
Actes de la conference "Fonctions L et arithmetique",
Meknes, Maroc, 25-29 octobre 2010, 27 -- 53.
Zum Journal
- W. Bley : The equivariant Tamagawa number conjecture and modular symbols,
pdf-File , Math. Ann. 356 (2013), 179-190.
- W. Bley, R. Debeerst : Algorithmic proof of the epsilon constant conjecture,
pdf-File , Math. Comp. 82 (2013), 2363-2387.
- W. Bley, A. Cobbe: Equivariant epsilon constant conjectures for weakly ramified extensions,
pdf-File , Mathematische Zeitschrift, 283(3) (2016), 1217-1244.
- W. Bley, A. Cobbe: The equivariant local epsilon constant conjecture
for unramified twists of Zp(1),
pdf-File , Acta Arithmetica 178.4 (2017), 313 - 383
- W. Bley, D. Macias Castillo : Congruences for critical values of higher
derivatives of twisted Hasse-Weil L-functions,
pdf-File , Crelle Journal 722 (2017), 105-136.
- W. Bley, D. Burns, C.Hahn : On refined metric and hermitian structures in arithmetic, I: Galois-Gauss sums and weak ramification,
pdf-File , 46 pages, preprint 2017.
- W. Bley, M. Hofer : Construction of elliptic p-units,
pdf-File , 26 pages, preprint 2018.
Sonstige Downloads
- W. Bley: Numerische Resultate,
dvi-File , ps-File , 20 Seiten
- W. Bley: Elliptic curves and module structure over
Hopf orders and The conjecture of Chinburg-Stark for abelian extensions of
quadratic imaginary fields, Habilitationsschrift, Universität Augsburg 1998.
dvi-File , ps-File , 131 Seiten
- W. Bley, D. Kuznezov: Implementation of the algorithm described in the article
Computation of Stark-Tamagawa units
stu.gp , listen.gp,
stu_sample.gp, PARI GP-files.
- D. Kusnezow: Implementation of the algorithm described in the article
Numerical evidence for a conjectural generalization of Hilbert's Theorem 132
h.gp ,
HS132_sample.gp, PARI GP-files.
- W.Bley, M.Endres: Implementation of the algorithm described in the article
Picard groups and refined discrete logarithms and some examples
picard.tar.gz ,
- W. Bley: Implementation of the algorithm described in the article
Computation of locally free class groups
RelAlgKTheory.m , SmallGroups.m,
Metacyclic.m, MAGMA-files and the Readme-file.
- W. Bley: Implementation of the algorithm described in the article
Computations in relative algebraic K-groups
RelAlgKTheory.m , test.m,
MAGMA-files and the Readme-file.
- W. Bley: Implementation of the algorithm described in the article
Computing generators of free modules over orders in group algebras
RelAlgKTheory.m , ao.m,
sample.m,
A4Mipos.m,
D5Mipos.m,
D6Mipos.m,
D7Mipos.m,
MAGMA-files and the Readme-file.
- W. Bley: Implementation of the algorithms described in the article
Numerical evidence for the equivariant Birch and Swinnerton-Dyer conjecture
RelAlgKTheory.m , INB.m,
etnc.m,
D3 example,
D5 example,
D7 example,
More dihedral examples,
Incomplete D5 example,
D3Mipos.m,
D5Mipos.m,
D7Mipos.m,
MAGMA-files.
- W. Bley: Implementation of the algorithms described in the article
Computing generators of free modules over orders in group algebras II
RelAlgKTheory.m , INB.m,
sample.m,
D3Mipos.m,
D4Mipos.m,
D5Mipos.m,
Q8pols.m,
Q12pols.m,
README,
MAGMA-files.
- W. Bley: Implementation of the algorithms described in the article
Numerical evidence for the equivariant Birch and Swinnerton-Dyer conjecture (Part II)
RelAlgKTheory.m , INB.m,
etnc.m,
Table 1,
Table 2,
MakeTables.m,
sample_etncII.m ,
MAGMA-files.
- W. Bley: Implementation of the algorithms described in the article
Congruences for critical values of higher derivatives of twisted Hasse-Weil L-functions
RelAlgKTheory.m ,
INB.m,
etnc.m,
DoEtncIVExamples.m,
run_etncIVExamples.m,
ExamplesForEtncIV.out,
README ,
MAGMA-files.
- W. Bley: Implementation of the algorithms described in the article
On refined metric and hermitian structures in arithmetic, I: Galois-Gauss sums and weak ramification
magma files ,
README ,
MAGMA-files.
Werner Bley; June 2018