Let G be one of the classical Lie groups GL n+ 1 (ℝ), GL n+ 1 (ℂ), U (p, q+ 1), O (p, q+ 1), O
n+ 1 (ℂ), SO (p, q+ 1), SO n+ 1 (ℂ), and let G′ be respectively the subgroup GL n (ℝ), GL n …

Explicit Gross–Zagier and Waldspurger formulae Page 1 Algebra & Number Theory msp
Volume 8 2014 No. 10 Explicit Gross–Zagier and Waldspurger formulae Li Cai, Jie Shu and …

Methods of theta correspondence are used to analyze local and global Bessel models for
GSp4 proving a conjecture of Gross and Prasad which describes these models in terms of …

Iwahori-spherical representations of GSp(4) and Siegel modular forms of degree 2 with
square-free level Page 1 J. Math. Soc. Japan Vol. 57, No. 1, 2005 Iwahori-spherical …

For every genuine irreducible admissible smooth representation $\pi $ of the metaplectic
group $\widetilde {{\rm Sp}}(2n) $ over a $ p $-adic field, and every smooth oscillator …

Certain nontempered liftings from PGL (2)× PGL (2) to PGSp (4) are constructed using the
theory of (local and global) theta lifts. The resulting representations on PGSp (4) are the …

Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two
Page 1 Canad. J. Math. Vol. 64 (3), 2012 pp. 588–668 http://dx.doi.org/10.4153/CJM-2011-077-6 …

In this paper, we highlight and state precisely the local Langlands correspondence for quasi-
split $\mathrm {O} _ {2n} $ established by Arthur. We give two applications: Prasad's …

In an earlier paper, we considered several restriction problems in the representation theory
of classical groups over local and global fields. Assuming the Langlands-Vogan …

Let $\lambda $ be a self-dual Hecke character over an imaginary quadratic field $ K $ of
infinity type $(1, 0) $. Let $\ell $ and $ p $ be primes which are coprime to $6 N_ {K/\mathbb …