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Relative trace formulas and subconvexity estimates of L-functions for Hilbert modular forms

Relative trace formulas and subconvexity estimates of L-functions for Hilbert modular forms

We elaborate an explicit version of the relative trace formula on $\PGL(2)$ over a totally real number field for the toral periods of Hilbert cusp forms along the diagonal split torus. As an application, we prove (i) a spectral equidistribution result in the level aspect for Satake parameters of holomorphic …