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On an analogue of the Sato conjecture. (English) Zbl 0292.14011


MSC:

14G15 Finite ground fields in algebraic geometry
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
11R42 Zeta functions and \(L\)-functions of number fields
60E05 Probability distributions: general theory
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References:

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[2] Deuring, M.: Die Typen der Multiplicatorenringe elliptischer Funktionenkörper. Abh. Math. Sem. Hamburg14, 197-272 (1941). · Zbl 0025.02003 · doi:10.1007/BF02940746
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[9] Morita, Y.: Hecke polynomials of modular groups and congruence zeta functions of fibre varieties. Journ. of Math. Soc. Japan, 617-637 (1969). · Zbl 0212.25705
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[11] Shimura, G.: On analytic families of polarized abelian varieties and automorphic functions. Ann. of Math.78, 149-192 (1963). · Zbl 0142.05402 · doi:10.2307/1970507
[12] Tate, J.: Algebraic cohomology classes. A. M. S. Summer Institute, 1964, Woods Hole. · Zbl 0213.22901
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[14] Yamamoto, Y.: On the Sato conjecture [in Japanese, unpublished]. Master thesis in Osaka University, 1965. · Zbl 0199.08605
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