activity
20142026
most citedThe Gross-Prasad conjecture and local theta correspondence

8 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2026

Cycles for Rankin-Selberg -functions, I: automorphic periods

Atsushi Ichino, Kartik Prasanna

In this paper, we establish an explicit formula for automorphic periods which will be used in a sequel to study special values of -adic Rankin-Selberg -functions. Our motivat…

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…