Taku Ishii
Faculty of Science and Technology
Seikei University
331 KichijojiKitamachi, Musashino, Tokyo 1808633, Japan
email: ishii[at]st.seikei.ac.jp
Last Update: April 30, 2018
Preprints
 Whittaker functions for generalized principal series representations on GSp(2,R), submitted
Publications
 The computation of multivariate archimedean zeta integrals on GL_2~GSp_4 and GL_4, Proc. Amer. Math. Soc. (to appear)
 GodementJacquet integrals on GL(n,C), Ramanujan J. (to appear)

Archimedean zeta integrals for the exterior square Lfunctions on GL_n,
J. Number Theory 186 (2018), 304345.

The archimedean zeta integrals for GL(3)~GL(2)
(with Miki Hirano and Tadashi Miyazaki),
Proc. Japan Acad. Ser. A 92 (2016), 2732.

Calculus of the principal series Whittaker functions on SL(n,R)
(with Takayuki Oda),
J. Funct. Anal. 266 (2014), 12861372.

Whittaker functions on orthogonal groups of odd degree,
J. Lie Theory 23 (2013), 85112.
arXiv

Archimedean zeta integrals on GL_n~GL_m and SO_{2n+1}~GL_m
(with Eric Stade),
Manuscri. Math. 141 (2013), 485536. arXiv

The Archimedean Whittaker functions on GL_3
(with Miki Hirano and Tadashi Miyazaki),
Geometry and analysis of automorphic forms of several variables, 77109, Ser. Number Theory Appl., 7, World Sci. Publ., Hackensack, NJ, 2012.

Whittaker functions on real semisimple Lie groups of rank two,
Canad. J. Math. 62 (2010), 563581.

Spinor Lfunctions for generic cusp forms on GSp(2) belonging to principal series representations
(with Tomonori Moriyama),
Trans. Amer. Math. Soc. 360 (2008), 56835709.

Whittaker functions for P_Jprincipal series representations of Sp(3,R)
(with Miki Hirano and Takayuki Oda),
Adv. Math. 215 (2007), 734765.

New formulas for Whittaker functions on GL(n,R)
(with Eric Stade),
J. Funct. Anal. 244 (2007), 289314.

Confluence from SiegelWhittaker functions to Whittaker functions on Sp(2,R)
(with Miki Hirano and Takayuki Oda),
Math. Proc. Camb. Phil. Soc. 141 (2006), 1531.

A short history on investigation of the special values of zeta and Lfunctions of totally real number fields
(with Takayuki Oda),
Automorphic forms and zeta functions, 198233, World Sci. Publ., Hackensack, NJ, 2006.

Generalized Whittaker functions of the degenerate principal series representations of SL(3,R)
(with Takayuki Oda),
Comment. Math. Univ. Sancti Pauli 54 (2005), 187209.

On principal series Whittaker functions on Sp(2,R),
J. Funct. Anal. 225 (2005), 132.

A remark on Whittaker functions on SL(n,R),
Ann. Inst. Fourier 55 (2005), 483492.

SiegelWhittaker functions on SO_o(2,q) for class one principal series representations, Compos. Math. 140 (2004), 827854.

Principal series Whittaker functions on SL(3,R)
(with Hiroyuki Manabe and Takayuki Oda),
Japan. J. Math. 30 (2004), 183226.

A note on class one Whittaker functions on SO_o(2,q),
J. Math. Sci. Univ. of Tokyo 10 (2003), 519535.

SiegelWhittaker functions on Sp(2,R) for principal series representations,
J. Math. Sci. Univ. of Tokyo 9 (2002), 303346.