Walji, Nahid
Further Refinement Of Strong Multiplicity One For Gl(2)
Transactions Of The American Mathematical Society
0002-9947
10.1090/S0002-9947-2014-06103-5
366
9
4987-5007
21
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.
American Mathematical Society
Providence
2014
http://infoscience.epfl.ch/record/203960/files/S0002-9947-2014-06103-5.pdf;