JOURNAL ARTICLE

The minimal odd excludant and Euler's partition theorem.

  • Published In: International Journal of Number Theory, 2024, v. 20, n. 6. P. 1445 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Wang, Andrew Y. Z.; Xu, Zheng 3 of 3

Abstract

In this work, we establish two interesting partition identities involving the minimal odd excludant, which has attracted great attention in recent years. In particular, we find a strong refinement of Euler's celebrated theorem that the number of partitions of an integer into odd parts equals the number of partitions of that integer into distinct parts. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Number Theory. 2024/07, Vol. 20, Issue 6, p1445
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2024
  • ISSN:1793-0421
  • DOI:10.1142/S1793042124500714
  • Accession Number:177537774
  • Copyright Statement:Copyright of International Journal of Number Theory is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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