This is a preview of subscription content, log in via an institution to check access.
References
[B] Bluher, A.: Thesis, Princeton University, 1988
[H] Hida, H.: On abelian varieties with complex multiplication as factors of the Jacobians of Shimura curves. Am. J. Math.103, 727–776 (1981)
[I] Im, J.: Thesis, Princeton University, 1988
[S] Shimizu, H.: On zeta functions of quarternion algebras. Ann. Math.81, 166–193 (1965)
[59] Shimura, G.: Sur les intégrales attachées aux formes automorphes. J. Math. Soc. Japan11, 291–311 (1959)
[62] Shimura, G.: On Dirichlet series and abelian varieties attached to automorphic forms. Ann. Math.76, 237–294 (1962)
[67] Shimura, G.: Construction of class fields and zeta functions of algebraic curves. Ann. Math.85, 58–159 (1967)
[71] Shimura, G.: Introduction to the arithmetic theory of automorphic functions. (Publ. Math. Soc. of Japan, Vol. 11). Iwanami Shoten and Princeton Univ. Press, 1971
[73] Shimura, G.: On the factors of the jacobian variety of a modular function field. J. Math. Soc. Japan25, 523–544 (1973)
[75] Shimura, G.: On the holomorphy of certain Dirichlet series. Proc. London Math. Soc. (Ser. 3)31, 79–98 (1975)
[77] Shimura, G.: On the periods of modular forms. Math. Ann.229, 211–221 (1977)
[78] Shimura, G.: The special values of the zeta functions associated with Hilbert modular forms. Duke Math. J.45, 637–679 (1978)
[80] Shimura, G.: The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Ann. Math.111, 313–375 (1980)
[81] Shimura, G.: On certain zeta functions attached to two Hilbert modular forms I, II. Ann. Math.114, 127–164, 569–607 (1981)
[81z] Shimura, G.: The critical values of certain zeta functions associated with modular forms of halfintegral weight. J. Math. Soc. Japan33, 649–672 (1981)
[82] Shimura, G.: The periods of certain automorphic forms of arithmetic type. J. Fac. Sci. Univ. Tokyo (Sec. IA)28, 605–632 (1982)
[83a] Shimura, G.: Algebraic relations between critical values of zeta functions and inner products. Am. J. Math.104, 253–285 (1983)
[83b] Shimura, G.: On Eisenstein series. Duke Math. J.50, 417–476 (1983)
[84] Shimura, G.: Differential operators and the singular values of Eisenstein series. Duke Math. J.51, 261–329 (1984)
[85a] Shimura, G.: On Eisenstein series of half-integral weight. Duke Math. J.52, 281–324 (1985)
[85b] Shimura, G.: On the Eisenstein series of Hilbert modular groups. Rev. Mat. Ib.1 (No. 3) 1–42 (1985)
[86] Shimura, G.: On a class of nearly holomorphic automorphic forms. Ann. Math.123, 347–406 (1986)
[87a] Shimura, G.: Nearly holomorphic functions on hermitian symmetric spaces. Math. Ann.278, 1–28 (1987)
[87b] Shimura, G.: On Hilbert modular forms of half-integral weight. Duke Math. J.55, 765–838 (1987)
[St] Sturm, J.: Special values of zeta functions and Eisenstein series of half integral weight. Am. J. Math.102, 219–240 (1980); Addendum, ibid. pp. 781–783
Author information
Authors and Affiliations
Additional information
Research supported by NSF Grant DMS-8401291
Rights and permissions
About this article
Cite this article
Shimura, G. On the critical values of certain Dirichlet series and the periods of automorphic forms. Invent Math 94, 245–305 (1988). https://doi.org/10.1007/BF01394326
Issue Date:
DOI: https://doi.org/10.1007/BF01394326