Formulas for Some Restricted Partition Functions

Authors

  • Sonexay Songvilay
  • Thongsouk Saybounheaung
  • Innavanh Namkhaluck
  • Pinkham Thanavanh
  • Kaisone Viengthany

Keywords:

Generating Function, Restricted Partition Functions and -Partial Fractions

Abstract

The purposes of this research are to find formulas for some restricted partition functions  valid for all positive integers and for some finite subset of the natural numbers. In particular, the method of Andrews and Eriksson is modified for some conditions of elements in the set  where  and using the generating function, partial fraction expansion, partial fractions, the greatest integer function and the nearest integer function. The results of this research found that finding formulas for some partition functions can be discovered as the set of prime numbers from to  and the set of even numbers from to

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Published

2021-12-02

How to Cite

Songvilay, S., Saybounheaung, T., Namkhaluck, I., Thanavanh, P., & Viengthany, K. (2021). Formulas for Some Restricted Partition Functions. Souphanouvong University Journal Multidisciplinary Research and Development, 7(2), 126–139. Retrieved from http://www.su-journal.com/index.php/su/article/view/128

Issue

Vol. 7 No. 2 (2021): Multidisciplinary Research and Development 2021

Section

Articles