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On Artins Conjecture for Odd 2-dimensional Representations

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Knygos aprašymas

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.

Informacija

Serija: Lecture Notes in Mathematics
Leidėjas: Springer Berlin Heidelberg
Išleidimo metai: 1994
Knygos puslapių skaičius: 164
ISBN-10: 3540583874
ISBN-13: 9783540583875
Formatas: Knyga minkštu viršeliu
Kalba: Anglų
Žanras: Number theory

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