Congruences of local origin and automorphic induction
Congruences of local origin and automorphic induction
We explore the possibilities for the Galois representation [Formula: see text] attached to a weight-one newform [Formula: see text] to be residually reducible, i.e. for the Hecke eigenvalues to be congruent to those of a weight-one Eisenstein series. A special role is played by Eisenstein series [Formula: see text] of …