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Lecture Notes in Mathematics

On Artin's Conjecture for Odd 2-dimensional Representations

Editors: Frey, Gerhard (Ed.)

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About this book

The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols.
It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • On the experimental verification of the artin conjecture for 2-dimensional odd galois representations over Q liftings of 2-dimensional projective galois representations over Q

    Pages 1-36

    Kiming, Ian

  • A table of A5-fields

    Pages 37-46

    Basmaji, Jacques (et al.)

  • A. Geometrical construction of 2-dimensional galois representations of A5-type. B. On the realisation of the groups PSL2(1) as galois groups over number fields by means of l-torsion points of elliptic curves

    Pages 47-58

    Kinzelbach, Martin

  • Universal Fourier expansions of modular forms

    Pages 59-94

    Merel, Loïc

  • The hecke operators on the cusp forms of Γ0(N) with nebentype

    Pages 95-108

    Xiangdong, Wang

Buy this book

eBook $39.99
price for USA in USD
  • ISBN 978-3-540-48681-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
On Artin's Conjecture for Odd 2-dimensional Representations
Editors
  • Gerhard Frey
Series Title
Lecture Notes in Mathematics
Series Volume
1585
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48681-7
DOI
10.1007/BFb0074106
Softcover ISBN
978-3-540-58387-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 156
Topics