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A Theorem on Analytic Strong Multiplicity One
Let be an algebraic number field, and an
irreducible, automorphic, cuspidal representation of \GL_{m}(\mathbb{A}_{K})
with analytic conductor . The theorem on analytic strong multiplicity
one established in this note states, essentially, that there exists a positive
constant depending on and only, such that can
be decided completely by its local components with norm Comment: accepted by J. Number Theor
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