学術論文(掲載決定)
１．On the
Arakawa lifting Part I: Eichler commutation relations (joint with Atsushi
Murase), To appear in Nagoya Mathematical Journal.
２．On the
rapidly decreasing property of Whittaker functions for Sp(2,R),
Journal of Lie theory 35 No.1 (2025) 55--82.
３．Cuspidal
components of Siegel modular forms for large discrete series representations of
Sp(4,R) (joint with Shuji Horinaga),
Manuscripta
Mathematica 174 No.1-2 (2024) 159-202.
４．An explicit
lifting construction of CAP forms on O(1,5) (joint with A. Pitale and S. Wagh),
International
Journal of Number Theory, 19 No.6 (2023), 1337-1378.
５．Jacquet-Langlands-Shimizu
correspondence for theta lifts to GSp(2) and its
inner forms II: an explicit formula for Bessel periods
and non-vanishing of
theta lifts,
Journal of the Mathematical Society of
Japan, 73 (2021) 125-159.
６．Modular
degrees of elliptic curves and some quotient of L-values (joint with Kousuke
Sugimoto),
Tokyo Journal of
Mathematics 43, No.2 (2020) 279-293.
７．An explicit
construction of non-tempered cusp forms on O(1,8n+1) (joint with Yingkun Li and
Ameya Pitale),
Annales Math.
Quebec 44 (2), (2020) 349-384
８．Jacquet-Langlands-Shimizu
correspondence for theta lifts to GSp(2) and its
inner forms I: an explicit functorial correspondence,
with an appendix by
Ralf Schmidt,
Journal of
the Mathematical Society of Japan, 69 (2017) 1443-1474.
９．Lifting to
GL(2) over a division quaternion algebra and an explicit construction of CAP
representations (joint with Masanori Muto and Ameya Pitale),
Nagoya
Mathematical Journal, 222, issue 01, (2016) 137-185.
１０．Fourier expansion
of Arakawa lifting II: Relation with central L-values (joint with Atsushi
Murase),
International
Journal of Mathematics, 27, No.1 (2016) 32 pages.
１１．Bessel
periods of theta lifts to GSp(1,1) and central values
of some L-functions of convolution type,
Automorphic Forms,
Research in Number Theory from Oman, Springer Proceedings of Mathematics and
Statistics (2014), 179-191.
１２．Irreducibility
criteria for local and global representations (joint with Ameya Pitale and Ralf
Schmidt),
Proceedings of the American
Mathematical Society, 141, (2013), 55-63.
１３．Some vector-valued singular automorphic forms on
U(2,2) and their restriction to Sp(1,1) (joint with
Atsuo Yamauchi),
International Journal of Mathematics, 23, No. 10
(2012), 27 pages.
１４．Fourier expansion of
Arakawa lifting I: An explicit formula and examples of non-vanishing lifts
(joint with Atsushi Murase),
Israel Journal of
Mathematics, 187, (2012), 317-369.
１５．Commutation relations of Hecke operators for Arakawa lifting (joint with Atsushi Murase),
Tohoku
Mathematical Journal, 60, (2008), 227-251.
１６．Theta
lifting from elliptic cusp forms to automorphic forms on Sp(1,q),
Mathematische Zeitschrift, 259,
(2008), 591-615.
１７．Fourier-Jacobi
expansion of automorphic forms on Sp(1,q) generating
quaternionic discrete series,
Journal of
Functional Analysis, 239, (2006), 638-682.
１８．On certain
automorphic forms of Sp(1,q) (Arakawa's results and
recent progress),
Proceedings of
the conference in memory of Tsuneo Arakawa, Automorphic forms and zeta
functions, World Scientific (2006), 314-333.
１９．Fourier
expansion of holomorphic modular forms on classical Lie groups of tube type
along the minimal parabolic subgroup,
Abhandlungen aus dem Mathematischen Seminar
der Universitaet Hamburg, 74,
(2004), 253-279.
２０．Fourier
expansion of holomorphic Siegel modular forms of genus n along the minimal
parabolic subgroup,
Journal of
Mathematical Sciences, the University of Tokyo, 10, (2003),
311-353.
２１．Fourier
expansion of holomorphic Siegel modular forms with respect to the minimal
parabolic subgroup,
Mathematische
Zeitschrift, 231, (1999), 557-588.
投稿準備中
Real-valued
automorphic functions, submitted
Fourier-Jacobi
expansion of cusp forms on Sp(2,R),
arXiv:2111.00756
Petersson
norms of Borcherds theta lifts to O(1,8n+1) with
applications to sup-norm bounds (joint with Simon Marshall and Ameya Pitale),
submitted
On the Arakawa lifting Part II: the reproducing formula
(joint with Atsushi Murase), submitted.
Fourier-Jacobi expansion of automorphic forms generating
quaternionic discrete series, arXiv:2501.06725
Whittaker functions on Sp(2,R)
for degenerate characters (joint with Taku Ishii), submitted