Higher Moments for Polynomial Chowla

2024/08/16 by Wilson, Cameron · 1 citation
#11A25 #11L20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2408.08726

Abstract

Let λ(n) be the Liouville function. We study the distribution of \frac1x^1/2∑_{x≤ n≤ 2x}λ(f(n)) over random polynomials f of fixed degree d and coefficients bounded in magnitude by H. In particular we prove that the first d+1 moments are Gaussian.

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