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
โฆ LIBER โฆ
A note on Hecke eigenforms
โ Scribed by K. Chakraborty; B. Ramakrishnan
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 449 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
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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