Congruences between cusp forms and linear representations of the Galois group
- 1 December 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 64, 63-85
- https://doi.org/10.1017/s0027763000017554
Abstract
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 representationsuch that the Artin L-function for p is equal to the L-function associated to f(z).Keywords
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