学術論文(掲載決定)
１．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.
２．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.
３．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.
４．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.
５．Irreducibility
criteria for local and global representations (joint with Ameya Pitale and Ralf
Schmidt),
Proceedings of the American Mathematical Society,
141, (2013), 55-63.
６．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.
７．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.
８．Commutation relations of Hecke operators for Arakawa lifting (joint with Atsushi Murase),
Tohoku Mathematical Journal, 60,
(2008), 227-251.
９．Theta lifting from elliptic cusp
forms to automorphic forms on Sp(1,q),
Mathematische Zeitschrift, 259,
(2008), 591-615.
１０．Fourier-Jacobi expansion of automorphic forms on Sp(1,q)
generating quaternionic discrete series,
Journal of Functional Analysis, 239,
(2006), 638-682.
１１．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.
１２．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.
１３．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.
１４．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
１．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, preprint.
２．Real-valued automorphic functions,
preprint.
３．Modular degrees of elliptic curves
and some quotient of L-values (joint with Kousuke
Sugimoto), submitted.