×

zbMATH — the first resource for mathematics

Newforms and functional equations. (English) Zbl 0278.10026

MSC:
11F12 Automorphic forms, one variable
PDF BibTeX XML Cite
Full Text: DOI EuDML
References:
[1] Atkin, A., Lehner, J.: Hecke operators on ?0(m). Math. Ann.185, 134-160 (1970) · Zbl 0185.15502 · doi:10.1007/BF01359701
[2] Casselman, W.: On some results of Atkin and Lehner. Math. Ann.201, 301-314 (1973) · Zbl 0239.10015 · doi:10.1007/BF01428197
[3] Hecke, E.: Mathematische Werke. Göttingen: Vandenhoeck und Ruprecht 1959
[4] Jacquet, H.: Automorphic forms on GL (2), Part II. Springer Lecture Notes, No.278 (1972) · Zbl 0243.12005
[5] Mazur, B.: Courbes elliptiques et symboles modulaires. Séminaire Bourbaki, 24e année, 1971/72; n0 414
[6] Miyake, T.: On automorphic forms on GL2 and Hecke operators. Annals of Math.94, 174-189 (1971) · Zbl 0215.37301 · doi:10.2307/1970741
[7] Ogg, A.: On the eigenvalues of Hecke operators. Math. Ann.179, 101-108 (1969) · Zbl 0169.10102 · doi:10.1007/BF01350121
[8] Ogg, A.: On a convolution ofL-series. Inventiones math.7, 297-312 (1969) · Zbl 0205.50902 · doi:10.1007/BF01425537
[9] Petersson, H.: Konstruktion der sämtlichen Lösungen einer Riemannschen Funktionalgleichung durch Dirichlet-Reihen mit Eulerscher Produktentwicklung, I, II, III. Math. Ann.116, 401-412 (1939), and117, 39-64 and 277-300 (1940-1941) · JFM 65.0355.02 · doi:10.1007/BF01597364
[10] Rankin, R.: Contributions to the theory of Ramanujan’s function ?(n) and similar arithmetical functions. II. Proc. Camb. Phil. Soc.35, 357-372 (1939) · Zbl 0021.39202 · doi:10.1017/S0305004100021101
[11] Selberg, A.: On the estimation of Fourier coefficients of modular forms. Proc. Symposium Pure Math. (Amer. Math. Soc.) VIII, 1-15 (1965) · Zbl 0142.33903
[12] Serre, J.: Formes modulaires et fonctions zêtap-adiques. Summer School on Modular Functions, Antwerp (1972). Springer Lecture Notes, No.350, 191-268, Berlin-Heidelberg-New York: Springer 1972
[13] Serre, J.: Facteurs locaux des fonctions zêta des variétés algébriques. Séminaire Delange-Pisot-Poitou (Théorie des Nombres), 11e année, 1969/70, n0 19
[14] Shimura, G.: On modular forms of half integral weight. Annals of Math.97, 440-481 (1973) · Zbl 0266.10022 · doi:10.2307/1970831
[15] Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Math. Soc. Japan11 (1971), Princeton Univ. Press · Zbl 0221.10029
[16] Weil, A.: Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. Math. Ann.168, 149-156 (1967) · Zbl 0158.08601 · doi:10.1007/BF01361551
[17] Weil, A.: Dirichlet series and automorphic forms. Springer Lecture Notes, No.189. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0218.10046
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.