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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

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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).


📜 SIMILAR VOLUMES


Hecke eigenvalues of Siegel modular form
✍ Alexandru Ghitza 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 549 KB

In his letter (Israel J. Math. 95 (1996) 281), Serre proves that the systems of Hecke eigenvalues given by modular forms ðmod pÞ are the same as the ones given by locally constant functions A Â B =B Â -F p ; where B is the endomorphism algebra of a supersingular elliptic curve. We generalize this re