Year: 2026
Type: preprint
Abstract: In this paper we give an analytic proof of the Two-point Chowla conjecture for the truncated Möbius function $μ_M$ for the function field case in the fixed $q$ setting. We reformulate the problem into studying the distribution of $(ω_M,ω_M\circ T_a)$. Thus we develop a uniform bivariate Erdős-Kac theorem in terms of the characteristic function for small pair of real numbers $(u,v)$ via the Kubilius model. For this purpose we also develop and employ the pure Brun sieve for polynomials in this paper.
Source: arXiv (Cornell University)
Author: Chatterjee, Abhirup
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220745503