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math.NT2025
Test Schwartz functions at for theta lifts of Hida families
Zheng Liu
We construct Hida families of theta lifts from definite orthogonal and unitary groups. A major ingredient of the construction is the choice of test Schwartz functions at places div…
math.NT2024
-adic -functions for II
Zheng Liu
We construct four-variable -adic -functions for cuspidal Hida families on and prove a complete interpolation formula. The archimedean zeta int…