Bounds for the spectral mean value of central values of L-functions
โ Scribed by Qing Lu
- Book ID
- 113731119
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 276 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0022-314X
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๐ SIMILAR VOLUMES
We consider the mean squares of L-functions associated to modular forms with respect to Hecke congruence subgroups, expressing the mean value as an inner product. This avoids the discussion of generalized additive divisor problems. As applications, we obtain asymptotic formulas for both weighted and
Let N โก 1 mod 4 be the negative of a prime, K = Q( โ 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