Year: 2026
Type: preprint
Abstract: We determine the order of the low moments of partial sums of random multiplicative functions associated with Euler products of bounded degree whose unitary local parameters satisfy a prime-square cancellation condition, thereby generalizing Harper's seminal work. The result applies to irreducible compact-group representations of unitary or symplectic type, including the higher-rank Sato--Tate model $SU(d)$ and the odd symmetric-power Sato--Tate model $\operatorname{Sym}^{m}SU(2)$.
Source: arXiv (Cornell University)
Author: Leung, Sun-Kai
Institution: University of Oxford
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213587294
Cites:
Cited by:
Related to: