𝔖 Bobbio Scriptorium
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On the equidistribution of Hecke points

✍ Scribed by Goldstein, Daniel; Mayer, Andrew

Book ID
118023386
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2003
Tongue
English
Weight
231 KB
Volume
15
Category
Article
ISSN
0933-7741

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πŸ“œ SIMILAR VOLUMES

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✍ Sheng-Chi Liu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 132 KB

Let F be a totally real number field with ring of integers O, and let Ξ“ = SL(2, O) be the Hilbert modular group. Given the orthonormal basis of Hecke eigenforms in S 2k (Ξ“ ), one can associate a probability measure dΞΌ k on the Hilbert modular variety Ξ“ \H n . We prove that dΞΌ k tends to the invarian

Equidistribution of Hecke Eigenforms on
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✍ Yuk-Kam Lau πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 158 KB

Given the orthonormal basis of Hecke eigenforms in S 2k ðGð1ÞÞ; Luo established an associated probability measure dm k on the modular surface Gð1Þ=H that tends weakly to the invariant measure on Gð1Þ=H: We generalize his result to the arithmetic surface G 0 ðNÞ=H where N51 is square-free.