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

  title={Refinement of strong multiplicity one for automorphic representations of GL(n)},
  author={C. Soundara Rajan},
  • C. Rajan
  • Published 20 October 1999
  • Mathematics
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… 

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