4 problems

Prasad's adjoint L-function criterion for degenerate Whittaker vanishing
Let $F$ be a non-Archimedean local field, let $G=\operatorname{GL}_{2n}(F)$ , and let $P_{n,n}=MN$ be the standard parabolic subgroup with Levi factor…
openFrom paperslocal-l-functions representation-theory whittaker-models
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4
The local Plancherel density conjecture for the basic function
Let $F$ be a split non-Archimedean local field with ring of integers $\mathfrak o$ , and let $X$ be an affine spherical variety with a good model over $\mathfrak o$ , satisfying the…
openFrom paperslocal-l-functions plancherel-formula spherical-varieties
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8
Exceptional-pole conjecture for GSp(4) × GL(2) L-factors
Exceptional-pole conjecture. The point $s_0$ is an exceptional pole of $L(\pi\times\sigma,s)$ if and only if it is a pole of
openFrom papersautomorphic-representations local-l-functions weil-deligne-representations
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8
Novodvorsky compatibility conjecture for GSp(4) × GL(2) local L-factors
Novodvorsky compatibility conjecture. We have
openFrom papersautomorphic-representations gsp4 local-l-functions
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7

Prasad's adjoint L-function criterion for degenerate Whittaker vanishing