## & (0.3) with a=N A>0 and b 2 #&p mod 4ap. Let { A =(b+-&p)Γ2a.
The twelfth moment of central values of Hecke series
β Scribed by Matti Jutila
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 228 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0022-314X
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β¦ Synopsis
Let H j Γ°sΓ be the Hecke L-function attached to the Maass wave form for the jth eigenvalue 1 4 ΓΎ k 2 j of the hyperbolic Laplacian acting in the Hilbert space of automorphic functions for the full modular group. The following mean value estimate for the central values
π SIMILAR VOLUMES
Let N β‘ 1 mod 4 be the negative of a prime, K = Q( β N) and O K its ring of integers. Let D be a prime ideal in O K of prime norm congruent to 3 mod 4. Under these assumptions, there exists Hecke characters D of K with conductor (D) and infinite type (1, 0). Their Lseries L( D , s) are associated to
Given a weight 2 and level p 2 modular form f , we construct two weight 3/2 modular forms (possibly zero) of level 4p 2 and non-trivial character mapping to f via the Shimura correspondence. Then we relate the coefficients of the constructed forms to the central value of the L-series of certain imag