EULER PRODUCT ASYMPTOTICS FOR DIRICHLET -FUNCTIONS

EULER PRODUCT ASYMPTOTICS FOR DIRICHLET -FUNCTIONS

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 c...

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2022-08, Vol.106 (1), p.48-56
1. Verfasser: KANEKO, IKUYA
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972721001003