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On the periods of modular forms. (English) Zbl 0363.10019

MSC:
11F12 Automorphic forms, one variable
11M35 Hurwitz and Lerch zeta functions
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References:
[1] Birch, B.J.: Elliptic curves overQ: a progress report. Number Thoery Institute 1969, Proc. Symp. pure math., Vol. XX. Amer. Math. Soc. 396-400 (1971)
[2] Manin, Y.I.: Parabolic points and zeta functions of modular curves. Izv. Akad. Nauk, SSSR, Ser. Mat.36, 19-66 (1972) · Zbl 0243.14008
[3] Mazur, B., Swinnerton-Dyer, P.: Arithmetic of Weil curves. Inv. math.25, 1-61 (1974) · Zbl 0281.14016
[4] Miyake, T.: On automorphic forms on GL2 and Hecke operators. Ann. of Math.94, 174-189 (1971) · Zbl 0215.37301
[5] Razar, M.J.: Dirichlet series and Eichler cohomology. Preprint, Univ. of Maryland 1976
[6] Shimura, G.: Sur les intégrales attachées aux formes automorphes. J. Math. Soc. Japan11, 291-311 (1959) · Zbl 0090.05503
[7] Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Iwanami Shoten (Tokyo) and Princeton University Press 1971
[8] Shimura, G.: On modular forms of half integral weight. Ann. of Math.97, 440-481 (1973) · Zbl 0266.10022
[9] Shimura, G.: Modular forms of half integral weight. Proc. Int. Summer School on modular functions. Antwerpen 1972. Lecture Notes in Mathematics 320. Berlin, Heidelberg, New York: Springer 1973
[10] Shimura, G.: On the factors of the jacobian variety of a modular function field. J. Math. Soc. Japan25, 523-544 (1973) · Zbl 0266.14017
[11] Shimura, G.: On the holomorphy of certain Dirichlet series. Proc. London Math. Soc.31, 79-98 (1975) · Zbl 0311.10029
[12] Shimura, G.: The special values of the zeta functions associated with cusp forms. Comm. Pure Appl. Math.29, 783-804 (1976) · Zbl 0348.10015
[13] Shintani, T.: On construction of holomorphic cusp forms of half integral weight. Nagoya Math. J.58, 83-126 (1975) · Zbl 0316.10016
[14] Sturm, J.: Thesis, Princeton University 1977
[15] Weil, A.: Remarks on Hecke’s lemma and its use. To appear in Proceedings of International Symposium on Algebraic Number Theory, Kyoto, 1976 · Zbl 0369.14009
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