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Lineare Relationen für die Fourierkoeffizienten einiger Modulformen zweiten Grades. (Linear relations for the Fourier coefficients of several modular forms). (German) Zbl 0349.10020


MSC:

11F27 Theta series; Weil representation; theta correspondences
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References:

[1] Igusa, J.: On Siegel modular forms of genus two. Amer. J. Math.84, 175-200 (1962) · Zbl 0133.33301 · doi:10.2307/2372812
[2] Igusa, J.: On Siegel modular forms of genus two (II). Amer. J. Math.86, 392-412 (1964) · Zbl 0133.33301 · doi:10.2307/2373172
[3] Igusa, J.: A desingularization problem in the theory of Siegel modular functions. Math. Ann.168, 228-260 (1967) · Zbl 0145.09702 · doi:10.1007/BF01361555
[4] Igusa, J.: Modular forms and projective invariants. Amer. J. Math.89, 817-855 (1967) · Zbl 0159.50401 · doi:10.2307/2373243
[5] Maaß, H.: Die Multiplikatorsysteme zur Siegelschen Modulgruppe. Nachr. Akad. Wiss. Göttingen, II. Math.-phys. Klasse, 1964, Nr. 11 · Zbl 0134.06103
[6] Maaß, H.: Über die Fourierkoeffizienten der Eisensteinreihen zweiten Grades. Mat. Fys. Medd. Dan. Vid. Selsk38, (1972), Nr. 14 · Zbl 0244.10023
[7] Maaß, H.: Konstruktion von Spitzenformen beliebigen Grades mit Hilfe von Thetareihen. Math. Ann.226, 275-284 (1977) · Zbl 0336.10021 · doi:10.1007/BF01362431
[8] Resnikoff, H.L., Saldaña, R.L.: Some properties of Fourier coefficients of Eisenstein series of degree two. J. Reine Angew. Math.265, 90-109 (1974) · Zbl 0278.10028
[9] Resnikoff, H.L., Saldaña, R.L.: An analogue of a conjecture of Sato and Tate for a Hilbert modular form. Glasgow Math. J.16, 69-87 (1975) · Zbl 0327.10029 · doi:10.1017/S001708950000255X
[10] Witt, E.: Eine Identität zwischen Modulformen zweiten Grades. Abh. Math. Sem. Univ. Hamburg14, 323-337 (1941) · JFM 67.0296.01 · doi:10.1007/BF02940750
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