Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

On the sign of the real part of the Riemann zeta-function

Date

Authors

Arias de Reyna, Juan

Brent, Richard

Lune, Jan van de

Publisher

Springer

Abstract

We consider the distribution of the argument of the Riemann zeta function on vertical lines with real part greater than 1/2, and in particular two densities related to the argument and to the real part of the zeta function on such lines. Using classical r

Keywords

Keywords: Characteristic functions; Numerical values; Real part; Riemann zeta functions; Vertical lines; Zeta function; Number theory; Particle beam dynamics

URI

http://hdl.handle.net/1885/32683

Collections

ANU Research Publications

Type

Book Title

Number Theory and Related Fields: In Memory of Alf van der Poorten

DOI

10.1007/978-1-4614-6642-0_3

Restricted until

2037-12-31

Downloads

File

Description

01_Arias de Reyna_On_the_sign_of_the_real_part_2013.pdf (297.52 KB)