On Cantor's singular moments

TL;DR

This paper addresses the open problem of explicitly computing Cantor's singular moment of order -1, providing a definitive answer to a question posed in a mathematical journal.

Contribution

It offers the first explicit computation of Cantor's singular moment of order -1, resolving a long-standing open problem.

Findings

Explicit formula for Cantor's singular moment of order -1

Confirms the possibility of explicit computation for this moment

Advances understanding of Cantor's singular measures

Abstract

In problem 10621 of the American Mathematical Monthly the question was raised whether it is possible to explicitly compute Cantor's singular moment of order -1. This is answered in the affirmative.