Published August 2022
| Submitted
Journal Article
Open
Euler Product Asymptotics for Dirichlet L-Functions
- Creators
-
Kaneko, Ikuya
Abstract
The aim of this article is to establish the behaviour of partial Euler products for Dirichlet L-functions under the generalised Riemann hypothesis (GRH) via Ramanujan's work. To understand the behaviour of Euler products on the critical line, we invoke the deep Riemann hypothesis (DRH). This work clarifies the relation between GRH and DRH.
Additional Information
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc. Received 3 October 2021; accepted 25 October 2021; first published online 7 January 2022. The author acknowledges the support of the Masason Foundation and the Spirit of Ramanujan STEM Talent Initiative. This article is an outgrowth of the author's collaborative work with Koyama [4] on Euler products of Selberg zeta functions in the critical strip. Special thanks are owed to Shin-ya Koyama and Nobushige Kurokawa for illuminating discussions.Attached Files
Submitted - 1902.04203.pdf
Files
1902.04203.pdf
Files
(125.9 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:9212df0dae7e3d912c3c6b5296acefe7
|
125.9 kB | Preview Download |
Additional details
- Eprint ID
- 113205
- Resolver ID
- CaltechAUTHORS:20220201-326205400
- Masason Foundation
- Spirit of Ramanujan STEM Talent Initiative
- Created
-
2022-02-01Created from EPrint's datestamp field
- Updated
-
2022-08-02Created from EPrint's last_modified field