Let π be an irreducible admissible (complex) representation of (Formula presented.) over a non-Archimedean characteristic zero local field with odd residual characteristic. In this paper, we prove the equality between the local symmetric square L-function associated to π arising from integral representations and the corresponding Artin L-function for its Langlands parameter through the local Langlands correspondence. With this in hand, we show the stability of local symmetric γ-factors attached to π under highly ramified twists.
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- 11F70 (primary)
- 22E50 (secondary)