On certain zeta functions associated with Beatty sequences

William D. Banks

Type: Article

Publication Date: 2018-01-01

Citations: 1

DOI: https://doi.org/10.4064/aa170528-29-3

Abstract

Let $\alpha>1$ be an irrational number of finite type $\tau$. We introduce and study a zeta function $Z_\alpha^\sharp(r,q;s)$ that is closely related to the Lipschitz–Lerch zeta function and is naturally associated with the Beatty sequence $\mathcal B(\al

Locations

Acta Arithmetica - View
arXiv (Cornell University) - View - PDF

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