16 citations · 87 across the 24 of their papers we have counts for
11 papers · 1 filter
Bounds for (k,c) model functions over p-adic fields
Eyal Kaplan
Let be a -adic field, let , and let be a representation of : a complex representation of finite length whose wave front set has $(k…
Simple supercuspidal L-packets of split special orthogonal groups over dyadic fields
Moshe Adrian, Guy Henniart, Eyal Kaplan +1
We consider the split special orthogonal group defined over a -adic field. We determine the structure of any -packet of containing a simpl…
The generalized doubling method: models
Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch +1
One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called models, for local components of generalized Speh r…
Doubling Constructions: the complete L-function for coverings of the symplectic group
Eyal Kaplan
We develop the local theory of the generalized doubling method for the -fold central extension of Matsumoto of the symplectic group. We define local -, - a…
Multiplicity one theorems for the generalized doubling method
Avraham Aizenbud, Dmitry Gourevitch, Eyal Kaplan
In this work we prove the local multiplicity at most one theorem underlying the definition and theory of local -, - and -factors, defined by virtue of the generalized doub…
Doubling Constructions and Tensor Product -Functions: coverings of the symplectic group
Eyal Kaplan
In this work we develop an integral representation for the partial -function of a pair of genuine irreducible cuspidal automorphic representations, of the -fol…
Doubling constructions: Global functoriality for non-generic cuspidal representations
Yuanqing Cai, Solomon Friedberg, Eyal Kaplan
We study the generalized doubling method for pairs of representations of where is a symplectic group, split special orthogonal group or split general spin group.…
Doubling Constructions and Tensor Product -Functions: the linear case
Yuanqing Cai, Solomon Friedberg, David Ginzburg +1
We present an integral representation for the tensor product -function of a pair of automorphic cuspidal representations, one of a classical group, the other of a general linear…
A Godement-Jacquet type integral and the metaplectic Shalika model
Eyal Kaplan, Jan Möllers
We present a novel integral representation for a quotient of global automorphic L-functions, the symmetric square over the exterior square. The pole of this integral characterizes…
Doubling Constructions for Covering Groups and Tensor Product L-Functions
Yuanqing Cai, Solomon Friedberg, David Ginzburg +1
This is a research announcement concerning a series of constructions obtained by applying the "doubling method" from the theory of automorphic forms to covering groups. Using these…
On the Local Theory of Rankin-Selberg Convolutions for
Eyal Kaplan
The Rankin-Selberg method for studying Langlands' automorphic -functions is to find integral representations, involving certain Fourier coefficients of cusp forms and Eisenstein…