On Möbius Functions from Automorphic Forms and a Generalized Sarnak’s Conjecture

Zhining Wei, Shifan Zhao

Type: Article

Publication Date: 2024-04-20

Citations: 0

DOI: https://doi.org/10.1093/qmath/haae018

Abstract

Abstract In this paper, we consider generalized Möbius functions associated with two types of L-functions: Rankin–Selberg L-functions of symmetric powers of distinct holomorphic cusp forms and L-functions derived from Maass cusp forms. We show that these generalized 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.

Locations

arXiv (Cornell University) - View - PDF
The Quarterly Journal of Mathematics - View

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