The divisor function over integers with a missing digit

TL;DR

This paper investigates the behavior of the divisor function when summed over integers that satisfy specific digit restrictions, providing insights into how digit constraints affect divisor sums.

Contribution

It introduces a novel analysis of the divisor function over digit-restricted sets, extending classical divisor sum results to new constrained integer sets.

Findings

Derived bounds for divisor sums over digit-restricted sets

Identified how digit restrictions influence divisor function behavior

Extended classical divisor sum results to new digit-constrained contexts

Abstract

In this paper, we study the sum of the divisor function over sets with digit restrictions.