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math.NT2026
Fourier Spectral Reciprocity and Canonical Hecke -Functions
Liyang Yang
We prove a Fourier-type toric spectral reciprocity formula over number fields, relating Tate integrals over a quadratic extension to a dual family of Hecke periods over the base fi…
math.NT2026
Weyl Subconvexity for with Simple Supercuspidal Ramification
Liyang Yang
We establish Weyl-type subconvexity bounds in the level aspect for cuspidal automorphic representations of with simple supercuspidal ramification at a prime ideal…
math.NT2026
Symmetric Spectral Reciprocity for and Uniform Subconvexity
Liyang Yang
We construct a new analytic regularization of the Petersson norm identity for Eisenstein series on over a number field , and derive from it an explicit symmetric…