This is a preview of subscription content, log in via an institution to check access.
References
Birch, B.J.: How the number of points of an elliptic curve over a fixed prime field varies. Journ. of London Math. Soc.43, 57–60 (1968).
Deuring, M.: Die Typen der Multiplicatorenringe elliptischer Funktionenkörper. Abh. Math. Sem. Hamburg14, 197–272 (1941).
Ihara, Y.: Hecke polynomials as congruence ξ-functions in elliptic modular case. Ann. of Math.85, 267–295 (1967).
Ihara, Y.: On congruence monodromy problems, vol. 1, 2, Lecture notes at University of Tokyo, 1968–1969.
Kuga, M.: On a uniformity of distribution of positive 0-cycles and the eigenvalues of Hecke's operator, I, II. Coll. Gen. Ed. Sci. Papers, University of Tokyo,10, 1–16, 171–186 (1960).
Kuga, M., and Shimura, G.: On the zeta function of a fibre variety whose fibres are abelian varieties. Ann. of Math.82, 478–539 (1965).
Mennicke, J.: On Ihara's modular group. Inventiones math.4, 202–228 (1967).
Morita, Y.: Hecke polynomialsH (p) k (u) (p=2,3). Journ. Fac. Sci. University of Tokyo, Sec. I.15, 99–105 (1968).
Morita, Y.: Hecke polynomials of modular groups and congruence zeta functions of fibre varieties. Journ. of Math. Soc. Japan, 617–637 (1969).
Morita, Y.: Ihara's conjectures and moduli spaces of abelian varieties, mimeographed note. Tokyo University, 1970.
Shimura, G.: On analytic families of polarized abelian varieties and automorphic functions. Ann. of Math.78, 149–192 (1963).
Tate, J.: Algebraic cohomology classes. A. M. S. Summer Institute, 1964, Woods Hole.
Tate, J.: Endomorphisms of Abelian varieties over finite fields. Inventiones math.2, 134–144 (1966).
Yamamoto, Y.: On the Sato conjecture [in Japanese, unpublished]. Master thesis in Osaka University, 1965.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yoshida, H. On an analogue of the Sato conjecture. Invent Math 19, 261–277 (1973). https://doi.org/10.1007/BF01425416
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01425416