On the coincidence of hecke-eigenforms
โ Scribed by Hidenori Katsurada
- Publisher
- Vandenhoeck & Ruprecht
- Year
- 2000
- Tongue
- German
- Weight
- 261 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0025-5858
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let f (z) and g(z) be Hecke eigenforms for 0 (p), where p is a prime. If both f (z) and g(z) are non-cuspidal forms and p 7, then the product is a Hecke eigenform only if it comes trivially from a level 1 solution. If g(z) is a cuspform and p 5, then in addition to the level 1 solutions, there are 8
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