Geodesic
A characterization of the Maass space of Siegel cusp forms of second degree
Sbornik. Mathematics, Tome 40 (1981) no. 1, pp. 125-133 
S. A. Evdokimov. A characterization of the Maass space of Siegel cusp forms of second degree. Sbornik. Mathematics, Tome 40 (1981) no. 1, pp. 125-133. http://geodesic.mathdoc.fr/item/SM_1981_40_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper it is shown that a cusp form of degree 2 which is an eigenfunction for all of the Hecke operators, is a Maass modular form. Bibliography: 9 titles.

[1] A. N. Andrianov, “Eilerovy proizvedeniya, otvechayuschie modulyarnym formam Zigelya roda $2$”, Uspekhi matem. nauk, XXIX:3(177) (1974), 43–110 | MR

[2] H. Maass, “Über eine Spezialschar von Modulformen zweiten Grades”, Invent. Math., 52 (1979), 95–104 | DOI | MR | Zbl

[3] H. Maass, “Über eine Spezialshar von modulformen zweiten Grades. II”, Invent. Math., 53 (1979), 249–253 | DOI | MR | Zbl

[4] A. N. Andrianov, “Modular descent and the Saito–Kurokawa conjecture”, Invent. Math., 53 (1979), 267–280 | DOI | MR | Zbl

[5] N. Kurokawa, “Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two”, Invent. Math., 49 (1978), 149–165 | DOI | MR | Zbl

[6] R. A. Rankin, “Contributions to the theory of Ramanujan's function $\tau(n)$ and similar arithmetical functions. II”, Proc. Cambridge Philos. Soc., 35 (1939), 357–372 | DOI | MR | Zbl

[7] S. A. Evdokimov, “Odno svoistvo koeffitsientov Fure parabolicheskikh form Zigelya roda 2”, Zapiski nauchn. seminarov LOMI, 93 (1980), 159–163 | MR | Zbl

[8] S. A. Evdokimov, “Eilerovy proizvedeniya dlya kongruents-podgrupp zigelevoi gruppy roda 2”, Matem. sb., 99(141) (1976), 483–513 | MR | Zbl

[9] S. A. Evdokimov, “Analiticheskie svoistva eilerovykh proizvedenii dlya kongruents-podgrupp $\Spp_2(Z)$”, Matem. sb., 110(152) (1979), 369–398 | MR | Zbl