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cusp forms 1functional equation 1spectral reciprocity 1symmetric square l-functions 1trace formulas 1

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math.NT2026

A trace formula derivation of the functional equation for symmetric square L-functions

Taiwang Deng, Dongsheng Wu

The paper derives the functional equation for symmetric‑square L‑functions of level‑one holomorphic and even Hecke‑Maass cusp forms by directly comparing the spectral and geometric…