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  • © 1994

On Artin's Conjecture for Odd 2-dimensional Representations

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1585)

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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.

Keywords

  • Artin's conjecture for L-series
  • Cusp forms
  • Galois group
  • Modular symbols
  • Volume
  • algorithms
  • construction
  • elliptic curve
  • form
  • knowledge
  • modular form
  • presentation
  • torsion
  • verification

Bibliographic Information

  • Book Title: On Artin's Conjecture for Odd 2-dimensional Representations

  • Authors: Jacques Basmaji, Ian Kiming, Martin Kinzelbach, Xiangdong Wang, Loïc Merel

  • Editors: Gerhard Frey

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0074106

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-58387-5Published: 26 October 1994

  • eBook ISBN: 978-3-540-48681-7Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 156

  • Topics: Number Theory

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions