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On the Analytic Continuation of the ζ -Function

Published online by Cambridge University Press:  20 November 2018

Ebenezer Prowse
Ebenezer Prowse*
Affiliation:
Barriefield, Ontario
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Extract

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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
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 3 , 01 September 1960 , pp. 289 - 292
Copyright
Copyright © Canadian Mathematical Society 1960