3 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.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 , the orthogonal group i…
math.NT2021
Fourier-Jacobi expansion of cusp forms on
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…