Möbius disjointness for a class of exponential functions
arXiv:2011.08699 · doi:10.1093/qmath/haac009
Abstract
A vast class of exponential functions are shown to be deterministic. This class includes functions whose exponents are polynomial-like or "piece-wise" close to polynomials after differentiation. Many of these functions are proved to be disjoint from the Möbius function.
arXiv comment37 pages. To better understand the main results of this paper, we split it into two independent papers. The second paper is arXiv:2101.10134. The paper is accepted by The Quarterly Journal of Mathematics at https://doi.org/10.1093/qmath/haac009
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