On Hecke eigenforms in the Maaß space
✍ Scribed by Stefan Breulmann
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- French
- Weight
- 58 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
Let F be a totally real number field with ring of integers O, and let Γ = SL(2, O) be the Hilbert modular group. Given the orthonormal basis of Hecke eigenforms in S 2k (Γ ), one can associate a probability measure dμ k on the Hilbert modular variety Γ \H n . We prove that dμ k tends to the invarian
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.
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