Moments of zeta and correlations of divisor-sums: II

TL;DR

This paper investigates the second and fourth moments and shifted moments of the Riemann zeta-function on the critical line, utilizing long Dirichlet polynomials and divisor correlations to deepen understanding of its behavior.

Contribution

It extends previous work by analyzing higher moments and correlations of the zeta-function with advanced techniques involving divisor sums.

Findings

Derived new asymptotic formulas for moments of zeta

Established connections between divisor correlations and zeta moments

Enhanced understanding of the distribution of zeta zeros

Abstract

This is part II of our examination of the second and fourth moments and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations.