# Refinement of strong multiplicity one for automorphic representations of GL(n)

@inproceedings{Rajan1999RefinementOS, title={Refinement of strong multiplicity one for automorphic representations of GL(n)}, author={C. Soundara Rajan}, year={1999} }

We state a qualitative form of strong multiplicity one for GL 1 . We derive refinements of strong multiplicity one for automorphic representations arising from Eisenstein series associated to a Borel subgroup on GL(n), and for the cuspidal representations on GL(n) induced from idele class characters of cyclic extensions of prime degree. These results are in accordance with a conjecture of D. Ramakrishnan. We also show that Ramakrishnan's conjecture follows from a weak form of Ramanujan's…

## 12 Citations

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