4 papers
math.NT2025
The square-integrability of double descent
Nozomi Ito
Double descent is a method to construct automorphic representations of classical groups. For given A-parameter with certain good properties, double descent constructs a space o…
math.NT2023
On the formula for the norms of Miyawaki lifts
Nozomi Ito
The Miyawaki lifting is a lifting of Siegel modular forms introduced by Ikeda in his 2006 paper. In the same paper, he also conjectured a formula for the norms of Miyawaki lifts. I…
math.RT2021
On branching laws of Speh representations
Nozomi Ito
In this paper, we consider the branching law of the Speh representation of with respect to the block diagonal subgroup $\mathrm{GL}_n\tim…
math.NT2019
On Miyawaki lifts with respect to Hermitian Maass lifts
Nozomi Ito
In this paper, we discuss the representation-theoretical Miyawaki lift for unitary groups in terms of the endoscopic classification. We give an explicit determination of Miyawaki l…