Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-05T03:50:09.590Z Has data issue: false hasContentIssue false

On the Analytic Continuation of the ζ -Function

Published online by Cambridge University Press:  20 November 2018

Ebenezer Prowse*
Affiliation:
Barriefield, Ontario
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It i s well known that the Riemannian ζ-function can be extended into the whole region s≠1 by means of the Euler-MacLaurin summation formula. The author wishes to present a proof of this fact which i s rather more elementary than those he i s acquainted with.

Type
Notes and Problems
Copyright
Copyright © Canadian Mathematical Society 1960