On Hecke eigenforms of half-integral weight
โ Scribed by Winfried Kohnen
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 219 KB
- Volume
- 293
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let F be a totally real number field with ring of integers O, and let ฮ = SL(2, O) be the Hilbert modular group. Given the orthonormal basis of Hecke eigenforms in S 2k (ฮ ), one can associate a probability measure dฮผ k on the Hilbert modular variety ฮ \H n . We prove that dฮผ k tends to the invarian
Given the orthonormal basis of Hecke eigenforms in S 2k รฐGรฐ1รร; Luo established an associated probability measure dm k on the modular surface Gรฐ1ร=H that tends weakly to the invariant measure on Gรฐ1ร=H: We generalize his result to the arithmetic surface G 0 รฐNร=H where N51 is square-free.