Non-vanishing of Dirichlet series without Euler productsArticle
Authors: William D. Banks 1
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William D. Banks
1 University of Missouri [Columbia]
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).