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Limit Representations of Riemann’s Zeta Function

Djurdje Cvijović and Hari M. Srivastava
The American Mathematical Monthly
Vol. 119, No. 4 (April 2012), pp. 324-330
DOI: 10.4169/amer.math.monthly.119.04.324
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.04.324
Page Count: 7
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Limit Representations of Riemann’s Zeta Function
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Abstract

Abstract In this article, it is shown that Riemann’s zeta function ζ(s) admits two limit representations when ℜ(s) > 1. Each of these limit representations is deduced by using simple arguments based upon the classical Tannery’s (limiting) theorem for series.

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