Geodesic
On the Analytic Continuation of the ζ -Function
Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 289-292

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Prowse, Ebenezer. On the Analytic Continuation of the ζ -Function. Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 289-292. doi: 10.4153/CMB-1960-035-2
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     title = {On the {Analytic} {Continuation} of the \ensuremath{\zeta} {-Function}},
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     doi = {10.4153/CMB-1960-035-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1960-035-2/}
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