Add to ORKGLet $K/F$ be a quadratic extension of p-adic fields. The Bernstein-Zelevinsky's classification asserts that generic representations are parabolically induced from quasi-square-integrable representations. We show, following a method developed by Cogdell and Piatetski-Shapiro, that the equality of the Rankin-Selberg type Asai $L$-function of generic representations of $GL(n,K)$ and of the Asai $L$-function of the Langlands parameter, is equivalent to the truth of a conjecture about classification of distinguished generic representations in terms of the inducing quasi-square-integrable representations. As the conjecture is true for principal series representations, this gives the expression of the Asai L-function of such representations
Let E/F be a quadratic extension of p-adic fields. The local Langlands correspondence establishes a ...
In this paper, we partially complete the local Rankin-Selberg theory of Asai $L$-functions and $\eps...
One of the fundamental differences between automorphic representations of classical groups like GL(n...
In this article, we prove that it is equivalent for a generic irreducible representation of GL(n,K),...
An important mistake in the previous version has been corrected here. An appendix has also been adde...
We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Lan...
Abstract. We give a conceptually simple proof of the square-integrable case of a conjecture of Jacqu...
Let E/F be a quadratic extension of p-adic fields. We compute the multiplicity of the space of SL2(F...
We prove that $L$-functions from Langlands-Shahidi method in the case of $GSpin$ groups over a non-A...
AbstractWe explicitly compute the adjoint L-function of those L-packets of representations of the gr...
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of $p$-adic...
In the following article, we give a description of the distingushed irreducible principal series rep...
We prove that all Langlands–Shahidi automorphic L-functions over function fields are rational; after...
Behind this sophisticated title hides an elementary exercise on Clifford theory for index two subgro...
In this paper the author gives the complete classification of irreducible generic representations of...
Let E/F be a quadratic extension of p-adic fields. The local Langlands correspondence establishes a ...
In this paper, we partially complete the local Rankin-Selberg theory of Asai $L$-functions and $\eps...
One of the fundamental differences between automorphic representations of classical groups like GL(n...
In this article, we prove that it is equivalent for a generic irreducible representation of GL(n,K),...
An important mistake in the previous version has been corrected here. An appendix has also been adde...
We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Lan...
Abstract. We give a conceptually simple proof of the square-integrable case of a conjecture of Jacqu...
Let E/F be a quadratic extension of p-adic fields. We compute the multiplicity of the space of SL2(F...
We prove that $L$-functions from Langlands-Shahidi method in the case of $GSpin$ groups over a non-A...
AbstractWe explicitly compute the adjoint L-function of those L-packets of representations of the gr...
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of $p$-adic...
In the following article, we give a description of the distingushed irreducible principal series rep...
We prove that all Langlands–Shahidi automorphic L-functions over function fields are rational; after...
Behind this sophisticated title hides an elementary exercise on Clifford theory for index two subgro...
In this paper the author gives the complete classification of irreducible generic representations of...
Let E/F be a quadratic extension of p-adic fields. The local Langlands correspondence establishes a ...
In this paper, we partially complete the local Rankin-Selberg theory of Asai $L$-functions and $\eps...
One of the fundamental differences between automorphic representations of classical groups like GL(n...