William D. Banks - Non-vanishing of Dirichlet series without Euler products

hrj:4027 - Hardy-Ramanujan Journal, January 11, 2018, Volume 40 - 2017 - https://doi.org/10.46298/hrj.2018.4027
Non-vanishing of Dirichlet series without Euler products

Authors: William D. Banks

We give a new proof that the Riemann zeta function is nonzero in the half-plane {s ∈ C : σ > 1}. A novel feature of this proof is that it makes no use of the Euler product for ζ(s).


Volume: Volume 40 - 2017
Published on: January 11, 2018
Submitted on: October 29, 2017
Keywords: Riemann zeta function,Euler product,zeros ,2010 Mathematics Subject Classification 11M06, [ MATH ] Mathematics [math]


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