The Riemann Zeta Function

Anatolij A. Karatsuba and Melvyn B. Nathanson
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Anatolij A. Karatsuba: Steklov Mathematical Institute
Melvyn B. Nathanson: School of Mathematics, Institute for Advanced Study

Chapter Chapter IV in Basic Analytic Number Theory, 1993, pp 51-63 from Springer

Abstract: Abstract For Re s = σ > 1, theRiemann zeta function ζ(s)is defined by $$ \zeta \left( s \right) = \sum\limits_{n = 1}^\infty {\frac{1}{{{n^s}}}} . $$ It follows from the definition that ζ(s) is an analytic function in the half-plane Re s > 1.

Date: 1993
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DOI: 10.1007/978-3-642-58018-5_4

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