学術論文(掲載決定)
１．On the
rapidly decreasing property of Whittaker functions for Sp(2,R),
Journal of Lie theory 35 No.1 (2025) 55--82.
２．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.
３．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.
４．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.
５．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.
６．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
７．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.
８．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.
９．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.
１０．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.
１１．Irreducibility
criteria for local and global representations (joint with Ameya Pitale and Ralf
Schmidt),
Proceedings of the American
Mathematical Society, 141, (2013), 55-63.
１２．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.
１３．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.
１４．Commutation relations of Hecke operators for Arakawa lifting (joint with Atsushi Murase),
Tohoku
Mathematical Journal, 60, (2008), 227-251.
１５．Theta
lifting from elliptic cusp forms to automorphic forms on Sp(1,q), Mathematische Zeitschrift, 259,
(2008), 591-615.
１６．Fourier-Jacobi
expansion of automorphic forms on Sp(1,q) generating
quaternionic discrete series,
Journal of
Functional Analysis, 239, (2006), 638-682.
１７．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.
１８．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.
１９．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.
２０．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 I: Eichler commutation
relations (joint with Atsushi Murase), arXiv:2412.11570, submitted
Fourier-Jacobi expansion of automorphic forms generating
quaternionic discrete series, arXiv:2501.06725