Faculty of Science and Technology

Seikei University

3-3-1 Kichijoji-Kitamachi, Musashino, Tokyo 180-8633, Japan

email: ishii[at]st.seikei.ac.jp

Last Update: December 18, 2013

RIMS conference "Automorphic Forms and Related Zeta Functions"

- (with Takayuki Oda) Calculus of the principal series Whittaker functions on SL(n,R), J. Funct. Anal. to appear.

- Whittaker functions on orthogonal groups of odd degree, J. Lie Theory
**23**(2013), 85-112. arXiv - (with Eric Stade) Archimedean zeta integrals on GL_n~GL_m and SO_{2n+1}~GL_m, Manuscri. Math.
**141**(2013), 485-536. arXiv - (with Miki Hirano and Tadashi Miyazaki) The Archimedean Whittaker functions on GL_3, Geometry and analysis of automorphic forms of several variables, 77-109, 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), 563-581. - (with Tomonori Moriyama) Spinor L-functions for generic cusp forms on GSp(2) belonging to principal series representations,
Trans. Amer. Math. Soc.
**360**(2008), 5683-5709. - (with Miki Hirano and Takayuki Oda) Whittaker functions for P_J-principal series representations of Sp(3,R), Adv. Math.
**215**(2007), 734-765. - (with Eric Stade) New formulas for Whittaker functions on GL(n,R), J. Funct. Anal.
**244**(2007), 289-314. - (with Miki Hirano and Takayuki Oda)
Confluence from Siegel-Whittaker functions to Whittaker functions on Sp(2,R), Math. Proc. Camb. Phil. Soc.
**141**(2006), 15-31. - (with Takayuki Oda) A short history on investigation of the special values of zeta and L-functions of totally real number fields, Automorphic forms and zeta functions, 198-233, World Sci. Publ., Hackensack, NJ, 2006.
- (with Takayuki Oda)
Generalized Whittaker functions of the degenerate principal series representations of SL(3,R), Comment. Math. Univ. Sancti Pauli
**54**(2005), 187-209. - On principal series Whittaker functions on Sp(2,R), J. Funct. Anal.
**225**(2005), 1-32. - A remark on Whittaker functions on SL(n,R), Ann. Inst. Fourier
**55**(2005), 483-492. - Siegel-Whittaker functions on SO_o(2,q) for class one principal series representations, Compos. Math.
**140**(2004), 827-854. - (with Hiroyuki Manabe and Takayuki Oda) Principal series Whittaker functions on SL(3,R), Japan. J. Math.
**30**(2004), 183-226. - A note on class one Whittaker functions on SO_o(2,q), J. Math. Sci. Univ. of Tokyo
**10**(2003), 519-535. - Siegel-Whittaker functions on Sp(2,R) for principal series representations, J. Math. Sci. Univ. of Tokyo
**9**(2002), 303-346.