Zeta Functions of Discrete Self-similar Sets and Applications to Point Configuration and Sum–Product-Type Problems
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DOI: 10.1093/imrn/rny019
Abstract: In this paper we first prove analytical properties of zeta functions for discrete subsets of R that exhibit “self-similarity” with respect to an arbitrary finite set of (affine) similarities. We then show how such properties… read more here.
Keywords: type problems; point configuration; functions discrete; sum product ... See more keywords