We prove an integral formula computing multiplicities of square-integrable representations
relative to Galois pairs over p-adic fields and we apply this formula to verify two …

On parabolic induction associated with a p-adic symmetric space - ScienceDirect Skip to main
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1A. Main results. Let E/F be a quadratic extension of local nonarchimedean fields of
characteristic zero and η: F×/NE×→{±1} the quadratic character associated to this extension …

We develop a theory of linear intertwining periods in a special case, and use it to reduce a
conjecture of Prasad and Takloo-Bighash on epsilon dichotomy to the supercuspidal case …

Prasad and Takloo-Bighash proposed a conjecture which predicts a necessary condition in
terms of epsilon factors for representations of $\mathrm {GL} _n (F) $ and its inner forms to …

arXiv:1405.7033v2 [math.NT] 19 Dec 2017 Page 1 arXiv:1405.7033v2 [math.NT] 19 Dec 2017
UPPER BOUNDS FOR MAASS FORMS ON SEMISIMPLE GROUPS SIMON MARSHALL …

We provide an explicit construction of representations in the discrete spectrum of two of
characteristic zero and odd residual characteristic. The proof of the main result involves an …

We study a local multiplicity problem related to so-called generalized Shalika models. By
establishing a local trace formula for these kinds of models, we are able to prove a …

We prove the absolute convergence, functional equations and meromorphic continuation of
local intertwining periods on parabolically induced representations of finite length for certain …

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