Further Refinement Of Strong Multiplicity One For Gl(2)

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.


Published in:
Transactions Of The American Mathematical Society, 366, 9, 4987-5007
Year:
2014
Publisher:
Providence, American Mathematical Society
ISSN:
0002-9947
Laboratories:




 Record created 2014-12-30, last modified 2018-01-28

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