zbMATH — the first resource for mathematics

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

11F27 Theta series; Weil representation; theta correspondences
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
Full Text: DOI EuDML
[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
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.