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research article
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.
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Name
S0002-9947-2014-06103-5.pdf
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openaccess
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287.68 KB
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Adobe PDF
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36086042bea212ae5f864d7bbb6f3d48