Publications of Werner Bley

1. W. Bley: Berechnung der Einheitengruppen von einfach-reellen kubischen Zahlkörpern , Diplomarbeit, Universität Augsburg 1989.
2. W. Bley: Konstruktion von Ganzheitsbasen in abelschen Erweiterungen von imaginär-quadratischen Zahlkörpern , Dissertation, Universität Augsburg 1991.
3. W. Bley: Konstruktion von Ganzheitsbasen in abelschen Erweiterungen von imaginär-quadratischen Zahlkörpern , J.~Number Theory 46 (1994), 334--371.
4. W. Bley: Galois module structure of Kummer orders and elliptic units, manuscripta mathematica 82 (1994), 381--392.
5. W. Bley: Galois module structure and elliptic functions, J. Number Theory 52 (1995), 216--242.
6. W. Bley: A Leopoldt-type result for rings of integers of cyclotomic extensions, Canad. Math. Bull. 38 (1995), 141--148.
7. M. Bayad, W. Bley, Ph. Cassou-Noguès: Sommes arithmétiques et éléments de Stickelberger, J. Algebra 179 (1996), 145--190.
8. W. Bley, D. Burns: Über arithmetische assoziierte Ordnungen, J. Number Theory 58 (1996), 361--387.
9. W. Bley: Computing associated orders and Galois generating elements of unit lattices, J. Number Theory 62 (1997), 242--256.
10. 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.
11. W. Bley, M. Klebel: An infinite family of elliptic curves and Galois module structure, Pacific J. Math. 185 (1998), 221--235.
12. 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.
13. 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.
14. W. Bley, D. Burns: Equivariant Tamagawa numbers, Fitting ideals and Iwasawa theory, Compositio Mathematica 126 (2001), 213--247.
15. W. Bley, D. Burns: Explicit Units and the Equivariant Tamagawa Number Conjecture, American Journal of Mathematics 123 (2001), 931--949.
16. W. Bley, D. Burns: Étale cohomology and a generalisation of Hilbert's Theorem 132, Math. Z. 239 (2002), 1--25.
17. W. Bley: Numerical evidence for a conjectural generalization of Hilbert's Theorem 132, LMS J.Comput.Math. 6 (2003), 68--88.
18. W. Bley: Computation of Stark-Tamagawa units , Math.Comput. 72 (2003), 1963--1974.
19. W. Bley, D. Burns: Equivariant epsilon constants, discriminants and étale cohomology, Proc. London Math. Soc. 87 (2003), 545--590.
20. W. Bley, R. Boltje: Cohomlogical Mackey functors in Number Theory, J. Number Theory 105 (2004), 1--37.
21. W. Bley: Wild Euler Systems of Elliptic Units and the Equivariant Tamagawa Number Conjecture , Crelle Journal 577 (2004), 117--146.
22. W. Bley, M. Endres: Picard groups and refined discrete logarithms , LMS J.Comput.Math. 8 (2005), 1--16.
23. 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.
24. W. Bley: On the equivariant Tamagawa number conjecture for abelian extensions of a quadratic imaginary field , Documenta Mathematica 11 (2006), 73--118.
25. W. Bley, H. Johnston: Computing generators of free modules over orders in group algebras , Journal of Algebra (Computational Section) 320 (2008), 836--852.
26. W. Bley, M.Breuning: Exact algorithms and Epsilon Constant Conjectures , Illinois Journal of Mathematics 52, No. 3 (2009), 773-797. Zum Journal
27. W. Bley, S.W.M.J. Wilson: Computations in relative algebraic K-groups , LMS JCM 12 (2009), 166--194. Zum Journal
28. W. Bley, H. Johnston : Computing generators of free modules over orders in group algebras II, pdf-File , Preprint 2010, 26 Seiten, erscheint in Math.Comp.
29. W. Bley : Numerical evidence for the equivariant Birch and Swinnerton-Dyer conjecture, pdf-File , Preprint 2010, 44 Seiten, erscheint in Exp.Math.
30. W. Bley : Numerical evidence for the equivariant Birch and Swinnerton-Dyer conjecture(Part II), pdf-File , Preprint 2010, 20 Seiten

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, Table1, Table2.out, MakeTables.m, MakeTables.m, sample_etncII.m , MAGMA-files.

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Werner Bley; März 2011