On Artin's Conjecture for Odd 2-dimensional Representations
Editors: Frey, Gerhard (Ed.)
Free PreviewBuy this book
- 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)
-
-
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
-
A table of A5-fields
Pages 37-46
-
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
-
Universal Fourier expansions of modular forms
Pages 59-94
-
The hecke operators on the cusp forms of Γ0(N) with nebentype
Pages 95-108
-
Table of contents (6 chapters)
Recommended for you
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
