2 citations · 2 across the 7 of their papers we have counts for
10 papers
Arithmeticity of critical -values for Hilbert-Siegel modular forms in the left half plane and
Shuji Horinaga, Hirotaka Kakuhama
For a cuspidal automorphic representation generated by a Hilbert-Siegel modular form and a Hecke character with parallel signature, we show the arithmeticity of criti…
On the singularities and the Kodaira dimension of unitary Shimura varieties
Shuji Horinaga, Yota Maeda
We study the geometry of Shimura varieties associated with a Hermitian form of signature over an imaginary quadratic field , where . We prove that when $p…
Worst-Case Quantum Algorithm for Optimal Polynomial Intersection Beyond Decoded Quantum Interferometry
Shuji Horinaga, Takashi Yamakawa
The Optimal Polynomial Intersection (OPI) problem asks us to find a low-degree polynomial over a finite field whose values lie in prescribed subsets on as many given inputs as poss…
Holomorphic differential forms on some orthogonal modular varieties
Shuji Horinaga, Shouhei Ma
We construct holomorphic differential forms of many degrees, including the minimum possible one, on the modular varieties associated to the even lattices of signature with…
The Kodaira dimension of even-dimensional ball quotients
Shuji Horinaga, Yota Maeda, Takuya Yamauchi
We prove that, up to scaling, there exist only finitely many isometry classes of Hermitian lattices over of signature that admit ball quotients of non-gener…
On -parameters containing unitary lowest weight representations of
Shuji Horinaga
In this paper, we determine all the Arthur packets containing an irreducible unitary lowest weight representation of real unitary group , including non-sc…
Cuspidal components of Siegel modular forms for large discrete series representations of
Shuji Horinaga, Hiro-aki Narita
In this paper, we consider automorphic forms on which generate large discrete series representations of as $(\mat…
The special values of the standard -functions for
Shuji Horinaga, Ameya Pitale, Abhishek Saha +1
We prove the expected algebraicity property for the critical values of character twists of the standard -function associated to vector-valued holomorphic Siegel cusp forms of ar…
Nearly holomorphic automorphic forms on Sp(2n) with sufficiently regular infinitesimal characters and applications
Shuji Horinaga
In this paper, we decompose the space of nearly holomorphic Hilbert-Siegel automorphic forms as representations of the adele group under certain assumptions. We also give an applic…
Nearly holomorphic automorphic forms on
Shuji Horinaga
We define the space of nearly holomorphic automorphic forms on a connected reductive group over such that the homogeneous space i…