Title: Möbius disjointness for a class of exponential functions
Abstract: The entropy of arithmetic functions is the complexity of their value distributions. This complexity can be rigorously defined by the topological entropy of the continuous map induced by the arithmetic function. Sarnak’s Möbius Disjointness Conjecture asserts that any arithmetic function with zero entropy is disjoint from the Möbius function. In collaboration with Fei Wei, we show that a large class of exponential functions have zero entropy, and many of them are disjoint from the Möbius function.