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On bounding Hecke–Siegel eigenvalues

✍ Scribed by Lynne H. Walling

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 147 KB
Volume: 117
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2005.06.013

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✦ Synopsis

We use the action of the Hecke operators T j (p 2 ) (1 j n) on the Fourier coefficients of Siegel modular forms to bound the eigenvalues of these Hecke operators. This extends work of Duke-Howe-Li and of Kohnen, who provided bounds on the eigenvalues of the operator T (p).

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