Vanishing of the integral of the Hurwitz zeta function

dc.contributor.author	Broughan, Kevin A.
dc.date.accessioned	2009-02-22T20:27:52Z
dc.date.available	2009-02-22T20:27:52Z
dc.date.issued	2002
dc.description.abstract	A proof is given that the improper Riemann integral of δ(s, a) with respect to the real parameter a, taken over the interval (0, 1], vanishes for all complex s with R(s) < 1. The integral does not exist (as a finite real number) when R(s) ≥ 1.	en
dc.format.mimetype	application/pdf
dc.identifier.citation	Broughan, K.A. (2002). Vanishing of the integral of the Hurwitz zeta function. Bulletin of the Australian Mathematical Society, 65, 121-127.	en
dc.identifier.doi	10.1017/S000497270002013X	en_NZ
dc.identifier.uri	https://hdl.handle.net/10289/2037
dc.language.iso	en
dc.publisher	Australian Mathematical Society	en_NZ
dc.relation.isPartOf	Bulletin of the Australian Mathematical Society	en_NZ
dc.relation.uri	http://www.austms.org.au/Bulletin	en
dc.rights	This is an author’s final version of an article published in the journal: Bulletin of the Australian Mathematical Society. © 2002 Australian Mathematical Society. Used with permission.	en
dc.subject	Hurwitz zeta function	en
dc.subject	functional equation	en
dc.subject	improper Riemann integral	en
dc.title	Vanishing of the integral of the Hurwitz zeta function	en
dc.type	Journal Article	en
pubs.begin-page	121	en_NZ
pubs.elements-id	27351
pubs.end-page	127	en_NZ
pubs.issue	1	en_NZ
pubs.volume	65	en_NZ