A Partition Identity Related to Stanley's Theorem

In this paper, we use the Lambert series generating function for Euler's totient function to introduce a new identity for the number of \(1\)'s in the partitions of \(n\). A new expansion for Euler's partition function \(p(n)\) is derived in this context. These surprising new results...

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Bibliographic Details

Published in:	arXiv.org
Main Authors:	Merca, Mircea, Schmidt, Maxie D
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 20.10.2023
Subjects:	Number theory Partitions (mathematics)
ISSN:	2331-8422
Online Access:	Get full text
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