JOURNAL ARTICLE

Linear algebra and congruences for MacMahon's k-rowed plane partitions.

  • Published In: International Journal of Number Theory, 2024, v. 20, n. 5. P. 1429 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Chen, Shi-Chao 3 of 3

Abstract

In this paper, we provide an algorithm to detect linear congruences of p l k (n) , the number of MacMahon's k -rowed plane partitions, and give a quantitative result on the nonexistence of Ramanujan-type congruences of the k -rowed plane partition functions. We also show p (n , m) that the number of partitions at most m parts always admits linear congruences. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Number Theory. 2024/06, Vol. 20, Issue 5, p1429
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:1793-0421
  • DOI:10.1142/S1793042124500702
  • Accession Number:177481356
  • 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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