activity
20142020
most citedOn the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups

19 citations · 36 across the 9 of their papers we have counts for

collaborators
Showing math.NTShow all

7 papers · 1 filter

math.NT2019

The automorphic discrete spectrum of

Wee Teck Gan, Atsushi Ichino

We prove the multiplicity formula for the automorphic discrete spectrum of the metaplectic group of rank .

math.NT2019★ 4 cited

On Petersson norms of generic cusp forms and special values of adjoint -functions for

Shih-Yu Chen, Atsushi Ichino

We prove an explicit formula for the Petersson norms of some normalized generic cuspidal newforms on whose archimedean components belong to either discrete series rep…

math.NT2018★ 4 cited

Hodge classes and the Jacquet-Langlands correspondence

Atsushi Ichino, Kartik Prasanna

We prove that the Jacquet-Langlands correspondence for cohomological automorphic forms on quaternionic Shimura varieties is realized by a Hodge class. Conditional on Kottwitz's con…

math.NT2017

The Shimura-Waldspurger correspondence for

Wee Teck Gan, Atsushi Ichino

We generalize the Shimura-Waldspurger correspondence, which describes the generic part of the automorphic discrete spectrum of the metaplectic group , to the metaple…

math.NT2016

Periods of quaternionic Shimura varieties. I

Atsushi Ichino, Kartik Prasanna

We study "quadratic periods" on quaternionic Shimura varieties and formulate an integral refinement of Shimura's conjecture regarding Petersson inner products of automorphic forms…

math.NT2014★ 8 cited

The Gross-Prasad conjecture and local theta correspondence

Wee Teck Gan, Atsushi Ichino

We establish the Fourier-Jacobi case of the local Gross-Prasad conjecture for unitary groups, by using local theta correspondence to relate the Fourier-Jacobi case with the Bessel…

math.NT2014★ 19 cited

On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups

Atsushi Ichino, Erez Lapid, Zhengyu Mao

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 adjoin…