List of publications (Fumihiro Sato)


[33] Zeta functions of $(SL_2 \times SL_2 \times GL2, M_2 \oplus M_2)$ associated with a pair of Maass cusp forms, to appear in Comment. Math. Univ. St. Pauli 52(2006).
[32] Functional equations of prehomogeneous zeta functions and intertwining operators, to appear in J. Math. Soc. Japan 58(2006).
[31] (with K.Sugiyama) Multiplicity One Property and the Decomposition of $b$-Functions, Intern. J. Math. 17(2006), 195--229.
[30] (with Y.Hironaka) The Siegel series and spherical functions on $O(2n)/O(n) \times O(n)$, in "Automorphic Forms and Zeta functions, Proceedings of the conference in memory of Tsuneo Arakawa", pp. 150--169, World Scientific, 2006.
[29] Fourier coefficients of Eisenstein series of $GL_n$, Local densities of square matrices and subgroups of finite abelian groups, Comment. Math. Univ. St. Pauli 54(2005) 33--48.
[28] $p$-adic Green functions and zeta functions, Comment. Math. Univ. St. Pauli 51(2002) 79--97.
[27] (with T.Arakawa and I.Makino) Converse Theorem for Not Necessarily Cuspidal Siegel Modular Forms of Degree 2 and Saito-Kurokawa lifting , Comment. Math. Univ. St. Pauli 50(2001), 197--234.
[26] (with Y. Hironaka) Local Densities of Representations of Quadratic Forms over $p$-Adic Integers (The non-dyadic case). J. Number Theory 83(2000), 106--136.
[25] $b$-Functions of prehomogeneous vector spaces attached to flag manifolds of the general linear group. Comment. Math. Univ. St. Pauli 48(1999), 129--136.
[24] Eisenstein series on weakly spherical homogeneous spaces of GL(n). T^ohoku Math. J. 50(1998), 23--69.
[23] Zeta functions with polynomial coefficients associated with prehomogeneous vector spaces. Comment. Math. Univ. St. Pauli 45(1996), 177--211.
[22] Eisenstein series on weakly spherical homogeneous spaces and Zeta functions of prehomogeneous vector spaces. Comment. Math. Univ. St. Pauli 44(1995), 129--150.
[21] Zeta functions of prehomogeneous vector spaces with coefficients related to periods of automorphic forms. Proc. Ind. Acad. (K.G.Ramanathan memorial issue) 104(1994), 99--135.
[20] Introduction to zeta functions of prehomogeneous vector spaces. ``Topics in Number Theory and Algebra" ed.by D.S.Kim, Proc. of Workshops in pure Math. Vol.13, Part I, pp.1--21, The Korean Academic Council, 1993.
[19] On the stability of branching coefficients of rational representations of reductive groups. Comment. Math. Univ. St. Pauli 42(1993), 189--207.
[18] (with Y. Hironaka) Eisenstein series on reductive symmetric spaces and representation of Hecke algebras. J. reine angew. Math. 445(1993), 45--108.
[17] Siegel's main theorem of homogeneous spaces. Comment. Math. Univ. St. Pauli 41(1992), 141--167.
[16] (with Y. Hironaka) Fourier-Eisenstein transform and Plancherel formula for rational binary quadratic forms. Nagoya Math. J. 128(1992), 121--151.
[15] The Maass zeta functions attached to positive definite quadratic forms. Adv.Studies in pure Math. 21(1992), 409--443.
[14] (with H. Ochiai) Castling transforms of prehomogeneous vector spaces and functional equations. Comment. Math. Univ. St. Pauli 40(1991), 61--82.
[13] (with T. Kimura and X.-w. Zhu) On poles of $p$-adic complex powers and the $b$-functions of prehomogeneous vector spaces. Amer. J. Math. 112(1990), 423--437.
[12] (with Y. Hironaka) Local densities of alternating forms. J. Number Theory 33(1989), 32--52.
[11] On functional equations of zeta distributions. Adv. Studies in pure Math. 15(1989), 465--508.
[10] The Hamburger theorem for the Epstein zeta functions. Algebraic Analysis Vol. II, Academic Press, 1989, 789--807.
[9] (with Y. Hironaka) Spherical functions and local densities of alternating forms. Amer. J. Math. 110(1988), 473--512.
[8] Eisenstein series on the Siegel half space of signature (1,1). Comment. Math. Univ. St. Pauli. 37(1988), 99--125.
[7] (with S. Boecherer) Rationality of certain formal power series related to local densities. Comment. Math. Univ. St. Pauli 36(1987), 53--86.
[6] Eisenstein series on semisimple symmetric spaces of Chevalley groups. Adv. Studies in pure Math. 7(1985), 295--332.
[5] Zeta functions in several variables associated with prehomogeneous vector spaces III: Eisenstein series for indefinite quadratic forms. Ann. of Math. 116(1982), 177--212.
[4] Zeta functions in several variables associated with prehomogeneous vector spaces II: A convergence criterion. T^ohoku Math. J. 35(1983), 77--99.
[3] Zeta functions in several variables associated with prehomogeneous vector spaces I: Functional equations. T\^ohoku Math. J. 34(1982), 437--483.
[2] On zeta functions of ternary zero forms. J. Fac. Sci. Univ. Tokyo 28(1982), 585--604.
[1] On certain analytic complete class invariants of rational indefinite quadratic forms. Comment. Math. Univ. St. Pauli 30(1981), 219--224.