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Hecke eigenforms of degree two: Dirichlet series and Euler products. (English) Zbl 0327.10027

MSC:

11F66 Langlands \(L\)-functions; one variable Dirichlet series and functional equations
11F30 Fourier coefficients of automorphic forms
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References:

[1] Andrianov, A.: Euler products corresponding to Siegel modular forms of degree 2. Usphi Mat. Nauk. Nr. 3 (1974) · Zbl 0304.10021
[2] Butts, H., Pall, G.: Modules and binary quadratic forms. Acta Arith.15, 23-44 (1968) · Zbl 0179.35002
[3] Deligne, P.: La conjecture de Weil. I., Inst. Hautes ?tudes Sci. Publ. Math.43, 273-307 (1974)
[4] Koecher, M.: Zur Operatorentheorie der Modulformenn-ten Grades. Math. Ann.130, 351-385 (1956) · Zbl 0073.30503 · doi:10.1007/BF01343231
[5] Lippa, E.: Hecke operators for modular forms of genusr. Ph.D. dissertation, University of Michigan, May 1971
[6] Lippa, E.: An elementary approach to Hecke operators. Math. Ann.206 237-242 (1973) · Zbl 0258.10014 · doi:10.1007/BF01429211
[7] Lippa, E.: On Fourier coefficients of Siegel modular forms of degree two. Amer. J. Math.97, 829-846 (1975) · Zbl 0322.10013 · doi:10.2307/2373779
[8] Maass, H.: Die Fourierkoeffizienten der Eisenstein-Reihen zweiten Grades. Mat.-Fys. Medd. Danske Vid. Selsk.34, Nr. 7 (1964) · Zbl 0132.06402
[9] Maass, H.: ?ber Die Fourierkoeffizienten der Eisenstein-Reihen zweiten Grades. Mat.-Fys. Medd. Danske Vid. Selsk.38, Nr. 14 (1972)
[10] Resnikoff, H., Salda\(\sim\)na, R.: Some properties of Fourier coefficients of Eisenstein series of degree two. J. reine angew. Math.265, 90-109 (1974) · Zbl 0278.10028
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