paper

On Möbius functions from automorphic forms and a generalized Sarnak's conjecture

arXiv:2308.11114

Abstract

In this paper, we consider Möbius functions associated with two types of -functions: Rankin-Selberg -functions of symmetric powers of distinct holomorphic cusp forms and -functions of Maass cusp forms. We show that these Möbius functions are weakly orthogonal to bounded sequences. As a direct corollary, a generalized Sarnak's conjecture holds for these two types of Möbius functions.

13 pages

On Möbius functions from automorphic forms and a generalized Sarnak's conjecture · wovepaper