Euler Product Asymptotics for Dirichlet $L$-Functions
Number Theory
2024-12-30 v2
Abstract
Via the work of Ramanujan, we establish the asymptotic behaviour of partial Euler products for Dirichlet -functions under the Generalised Riemann Hypothesis (GRH). Understanding the behaviour of Euler products on the critical line is called the Deep Riemann Hypothesis (DRH). This work manifests the relation between GRH and DRH.
Keywords
Cite
@article{arxiv.1902.04203,
title = {Euler Product Asymptotics for Dirichlet $L$-Functions},
author = {Ikuya Kaneko},
journal= {arXiv preprint arXiv:1902.04203},
year = {2024}
}
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6 pages