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Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. (English) Zbl 0397.10018

MSC:
11F27 Theta series; Weil representation; theta correspondences
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
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[1] Andrianov, A.N.: Euler products corresponding to Siegel modular forms of genus 2. (in Russian). Uspekhi. Mat. Nauk,29, 43-110 (1974). (English translation in Russian Math. Surveys,29, 45-116 (1974).) · Zbl 0304.10021
[2] Howe, R., Piatetski-Shapiro, I.I.: A counterexample to the ?Generalized Ramanujan Conjecture? for (quasi-) split groups. (preprint) · Zbl 0423.22018
[3] Langlands, R.P.: Automorphic representations, Shimura varieties, and motives. (preprint) · Zbl 0447.12009
[4] Langlands, R.P.: Problems in the theory of automorphic forms. Lectures in Modern Analysis and Applications III. Lecture Notes in Mathematics,170, 18-61. Berlin-Heidelberg-New York: Springer 1970
[5] Maass, H.: Lineare Relationen für die Fourierkoeffizienten einiger Modulformen zweiten Grades. Math. Ann.,232, 163-175 (1978) · Zbl 0361.10024 · doi:10.1007/BF01421403
[6] 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
[7] Ribet, K.A.: On-adic representations attached to modular forms. Inventiones Math.28, 245-275 (1975) · Zbl 0302.10027 · doi:10.1007/BF01425561
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