Ramanujan's original conjecture is concerned with the estimation of Fourier coefficients of
the weight 12 holomorphic cusp form∆ for SL (2, Z) on the upper half plane H. The …

Following a strategy suggested by Michel--Venkatesh, we study the cubic moment of
automorphic $ L $-functions on $\operatorname {PGL} _2 $ using regularized diagonal …

We describe some recent developments and formulate some conjectures in the genuine
representation theory and the study of automorphic forms of the metaplectic group Mp (2 n) …

We establish the Langlands functoriality conjecture for the transfer from the generic
spectrum of GSp (4) to GL (4) and give a criterion for the cuspidality of its image. We apply …

The formal degree conjecture relates the formal degree of an irreducible square-integrable
representation of a reductive group over a local field to the special value of the adjoint γ …

We study the location of possible poles of a family of residual Eisenstein series on classical
groups. Special types of residues of those Eisenstein series were used as key ingredients in …

In this paper, we consider representations of $ p $-adic classical groups parabolically
induced from the products of shifted Speh representations and unitary representations of …

On the genericity of cuspidal automorphic forms of $\mathbf{SO}\bm{(2n+1)}$, II Page 1
Compositio Math. 143 (2007) 721–748 doi:10.1112/S0010437X07002795 On the genericity of …

Let $ G $ be the $ F $-points of a classical group defined over a $ p $-adic field $ F $ of
characteristic $0 $. We classify the irreducible unitarizable representation of $ G $ that are …

In this paper we investigate one instance of the global Gross–Prasad conjecture. Our main
result proves that if an irreducible cuspidal automorphic representation π π of an odd …