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A realization of the Hecke algebra on the space of period functions for Γ0 (n)

✍ Scribed by Fraczek, M; Mayer, D; Mühlenbruch, T

Book ID
118740354
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2007
Tongue
English
Weight
291 KB
Volume
2007
Category
Article
ISSN
0075-4102

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Equidistribution of Hecke Eigenforms on
Equidistribution of Hecke Eigenforms on the Arithmetic Surface Γ0(N)H
✍ Yuk-Kam Lau 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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.