An Iterated Map for the Lebesgue Identity

TL;DR

This paper introduces a straightforward iterative method for the Lebesgue identity on partitions, providing a refined perspective that incorporates alternating sums, enhancing understanding of partition identities.

Contribution

It proposes a new iterative approach to the Lebesgue identity, offering a refined analysis involving alternating sums of partitions.

Findings

New iterative method for Lebesgue identity

Refinement involving alternating sums of partitions

Enhanced understanding of partition identities

Abstract

We present a simple iteration for the Lebesgue identity on partitions, which leads to a refinement involving the alternating sums of partitions.