The use of generating function and cyclotomic polynomials to discover and prove some new restricted integer partitions

Authors

  • Sonexay Songvilay
  • Thongsouk Saybounheaung
  • Innavanh Namkhaluck
  • Pinkham Thanavanh
  • Phuangmaly Siharath
  • Parnthong Vongbounsy
  • Sonephanom Sengthavideth

Keywords:

Restricted partitions, Generating function and Cyclotomic polynomials

Abstract

The purposes of this research were to discovered some new partition identities valid for all positive integers of the general type  where  is the number of partitions of  and the parts of  are subject to a first restriction and  is the number of partitions of  and the parts of  are subject to the second restriction, which is different from the first one. These partition identities are proved by using the generating function and properties of cyclotomic polynomials.

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Published

2022-06-20

How to Cite

Songvilay, S., Saybounheaung, T., Namkhaluck, I., Thanavanh, P., Siharath, P., Vongbounsy, P., & Sengthavideth, S. (2022). The use of generating function and cyclotomic polynomials to discover and prove some new restricted integer partitions. Souphanouvong University Journal Multidisciplinary Research and Development, 8(1), 262–270. Retrieved from http://www.su-journal.com/index.php/su/article/view/192

Issue

Vol. 8 No. 1 (2022): Multidisciplinary Research and Development 2022

Section

Articles