Lower bounds for moments of zeta and $L$-functions revisited

TL;DR

This paper introduces a new method to compute lower bounds for moments of zeta and L-functions, providing novel results for small moments of the Riemann zeta function's absolute value.

Contribution

The paper presents a novel approach to establish lower bounds for moments of zeta and L-functions, especially for small moments where previous results were lacking.

Findings

New lower bounds for small moments of |+it|

The method is applicable to small moments where previous techniques were insufficient.

Results are new for moments with 0<k<1.

Abstract

This paper describes a method to compute lower bounds for moments of $\zeta$ and $L$-functions. The method is illustrated in the case of moments of $|\zeta(\frac 12+it)|$, where the results are new for small moments $0< k<1$.