19 citations · 99 across the 36 of their papers we have counts for
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math.NT2017
Non-vanishing of Dirichlet series without Euler products
William D. Banks
We give a new proof that the Riemann zeta function is nonzero in the half-plane . A novel feature of this proof is that it makes no use of the Euler produc…
math.NT2017
On certain zeta functions associated with Beatty sequences
William D. Banks
Let be an irrational number of finite type . In this paper, we introduce and study a zeta function that is closely related to the Lipschitz-Lerch zeta…