Hiroyuki Narita

activity

20212025

collaborators

4 papers

math.NT2025

Fourier-Jacobi expansion of automorphic forms generating quaternionic discrete series

Hiro-aki Narita

We provide a theory of the Fourier-Jacobi expansion for automorphic forms on simple adjoint groups of some general class. This theory respects the Heisenberg parabolic subgroups, w…

math.NT2023

Cuspidal components of Siegel modular forms for large discrete series representations of $Sp_{4} (R)$

Shuji Horinaga, Hiro-aki Narita

In this paper, we consider automorphic forms on $Sp_{4} (A_{Q})$ which generate large discrete series representations of $Sp_{4} (R)$ as $(\mat…

math.NT2022

An explicit lifting construction of CAP forms on O(1,5)

Hiro-aki Narita, Ameya Pitale, Siddhesh Wagh

We explicitly construct non-tempered cusp forms on the orthogonal group O(1,5) of signature (1+,5-). Given a definite quaternion algebra B over $Q$ , the orthogonal group i…

math.NT2021

Fourier-Jacobi expansion of cusp forms on $S p (2, R)$

Hiro-aki Narita

This paper develops a general theory of the Fourier-Jacobi expansion of cusp forms on the real symplectic group of degree two including generic cusp forms. An explicit description…

Fourier-Jacobi expansion of automorphic forms generating quaternionic discrete series

Cuspidal components of Siegel modular forms for large discrete series representations of Sp4​(R)

An explicit lifting construction of CAP forms on O(1,5)

Fourier-Jacobi expansion of cusp forms on Sp(2,R)

Cuspidal components of Siegel modular forms for large discrete series representations of $Sp_{4} (R)$

Fourier-Jacobi expansion of cusp forms on $S p (2, R)$