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On Artin's Conjecture for Odd 2-dimensional Representations

✍ Scribed by Jacques Basmaji, Ian Kiming, Martin Kinzelbach, Xiangdong Wang, Loïc Merel (auth.), Gerhard Frey (eds.)

Book ID
127406331
Publisher
Springer
Year
1994
Tongue
English
Weight
1010 KB
Edition
1
Category
Library
City
Berlin; New York
ISBN
354048681X

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Number Theory

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