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2013 On the zeros of $\zeta(s)-c$
Adam Boseman, Sebastian Pauli
Involve 6(2): 137-146 (2013). DOI: 10.2140/involve.2013.6.137

Abstract

Let ζ(s) be the Riemann zeta function and z0 a zero of ζ(s). We investigate the graphs of the implicit functions z:[0,1), with z(0)=z0 given by

ζ ( z ( c ) ) c = 0 .

We give zero-free regions for ζ(s)c where c[0,1).

Citation

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Adam Boseman. Sebastian Pauli. "On the zeros of $\zeta(s)-c$." Involve 6 (2) 137 - 146, 2013. https://doi.org/10.2140/involve.2013.6.137

Information

Received: 8 March 2012; Revised: 31 May 2012; Accepted: 15 May 2013; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1291.11117
MathSciNet: MR3096365
Digital Object Identifier: 10.2140/involve.2013.6.137

Subjects:
Primary: 11M26

Rights: Copyright © 2013 Mathematical Sciences Publishers

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