Abstract
We obtain a classical interpretation of the representation theoretic statement of the Generalized Ramanujan Conjecture for Siegel cusp forms of genus n in terms of estimates on Hecke eigenvalues.
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References
Andrianov A.: Euler products corresponding to Siegel modular forms of genus 2. Russian Math. Surv. 29, 45–116 (1974)
Asgari M., Schmidt R.: Siegel modular forms and representations. Manuscr. Math. 104, 173–200 (2001)
Chai, Ch.-L., Faltings, G.: Degeneration of Abelian Varieties. Springer, Ergebnisse d. Math., vol. 22. Berlin, Heidelberg (1990)
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Pitale, A. Classical interpretation of the Ramanujan conjecture for Siegel cusp forms of genus n . manuscripta math. 130, 225–231 (2009). https://doi.org/10.1007/s00229-009-0287-y
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DOI: https://doi.org/10.1007/s00229-009-0287-y