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Projections of \(C^\infty\) automorphic forms. (English) Zbl 0433.10013

MSC:
11F11 Holomorphic modular forms of integral weight
11F12 Automorphic forms, one variable
11M35 Hurwitz and Lerch zeta functions
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
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[1] Goro Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3) 31 (1975), no. 1, 79 – 98. · Zbl 0311.10029
[2] Goro Shimura, The special values of the zeta functions associated with cusp forms, Comm. Pure Appl. Math. 29 (1976), no. 6, 783 – 804. · Zbl 0348.10015
[3] Goro Shimura, On the periods of modular forms, Math. Ann. 229 (1977), no. 3, 211 – 221. · Zbl 0363.10019
[4] Jacob Sturm, Special values of zeta functions, and Eisenstein series of half integral weight, Amer. J. Math. 102 (1980), no. 2, 219 – 240. , https://doi.org/10.2307/2374237 Jacob Sturm, Addendum to: ”Special values of zeta functions, and Eisenstein series of half integral weight” [Amer. J. Math. 102 (1980), no. 2, 219 – 240], Amer. J. Math. 102 (1980), no. 4, 781 – 783. · Zbl 0447.10027
[5] D. Zagier, Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields, Modular functions of one variable, VI (Proc. Second Internat. Conf., Univ. Bonn, Bonn, 1976) Springer, Berlin, 1977, pp. 105 – 169. Lecture Notes in Math., Vol. 627.
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