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On the Central Derivative of Hecke L-Series

โœ Scribed by Tonghai Yang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
212 KB
Volume
85
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

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(0.3) with a=N A>0 and b 2 #&p mod 4ap. Let { A =(b+-&p)ร‚2a.

๐Ÿ“œ SIMILAR VOLUMES

The twelfth moment of central values of
The twelfth moment of central values of Hecke series
โœ Matti Jutila ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

Let H j รฐsรž be the Hecke L-function attached to the Maass wave form for the jth eigenvalue 1 4 รพ 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

A formula for the central value of certa
A formula for the central value of certain Hecke L-functions
โœ Ariel Pacetti ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 471 KB

Let N โ‰ก 1 mod 4 be the negative of a prime, K = Q( โˆš 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