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Congruences between cusp forms and linear representations of the Galois group*)

Published online by Cambridge University Press:  22 January 2016

Masao Koike
Masao Koike*
Affiliation:
Nagoya University
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Let f(z) be a cusp form of type (l,ε) on Γ0(N) which is a common eigenfunction of all Hecke operators. For such f(z), Deligne and Serre [1] proved that there exists a linear representation

such that the Artin L-function for p is equal to the L-function associated to f(z).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 64 , December 1976 , pp. 63 - 85
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

Footnotes

*)

This work was partially supported by the Sakkokai Foundation.

References

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