Further refinement of strong multiplicity one for GL(2)

Walji, Nahid

doi:10.1090/S0002-9947-2014-06103-5

Further refinement of strong multiplicity one for GL(2)
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Trans. Amer. Math. Soc. 366 (2014), 4987-5007 Request permission

Abstract:

We obtain a sharp refinement of the strong multiplicity one theorem for the case of unitary non-dihedral cuspidal automorphic representations for GL(2). Given two unitary cuspidal automorphic representations for GL(2) that are not twist-equivalent, we also find sharp lower bounds for the number of places where the Hecke eigenvalues are not equal, for both the general and non-dihedral cases. We then construct examples to demonstrate that these results are sharp.

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