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math.NT2022
The local converse theorem for : the generic case
Jaeho Haan
In this paper, we establish the local converse theorem and the stability of local gamma factors for $\Mp_{2n}$ via the precise local theta correspondence between $\Mp_{2n}$ and $\S…
math.NT2022
Fourier-Jacobi periods and the non-tempered Gan--Gross--Prasad conjecture for $\Mp_{2n} \times \Sp_{2m}$
Jaeho Haan
In this paper, we establish one direction of the non-tempered global Gan--Gross--Prasad (GGP) conjecture for the symplectic-metaplectic pairs $\Sp_{2n} \times \Mp_{2m}$ and $\Mp_{2…