An asymptotic expansion related to the Dickman function

TL;DR

This paper proves a conjecture concerning the asymptotic behavior of specific polylogarithm functions connected to the Dickman function, advancing understanding in number theory.

Contribution

It establishes a rigorous proof of Broadurst's conjecture on asymptotic expansions related to the Dickman function.

Findings

Confirmed the conjecture on asymptotic expansions

Provided new insights into polylogarithm functions

Enhanced theoretical understanding of the Dickman function

Abstract

We prove a conjecture of Broadurst (arXiv:1004.0519v1) on asymptotic expansions of certain polylogarithm type functions related to the Dickman function.