𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The vanishing order of certain Hecke L-functions of imaginary quadratic fields

✍ Scribed by Chunlei Liu; Lanju Xu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
236 KB
Volume
108
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Note on the Existence of Certain Infin
A Note on the Existence of Certain Infinite Families of Imaginary Quadratic Fields
✍ Dongho Byeon πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 93 KB

Let Do0 be the fundamental discriminant of an imaginary quadratic field, and hΓ°DÞ its class number. In this paper, we show that for any prime p > 3 and e ΒΌ Γ€1; 0; or 1, ] Γ€X oDo0 j hΓ°DÞc0 Γ°mod pÞ and D p ΒΌ e 4 p ffiffiffiffi X p log X :

A formula for the central value of certa
A formula for the central value of certain Hecke L-functions
✍ Ariel Pacetti πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 471 KB

Let N ≑ 1 mod 4 be the negative of a prime, K = Q( √ 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