The Fractal and the Recurrence Equations Concerning the Integer Partitions - Advances in Pure Mathematics

APM > Vol.8 No.6, June 2018

Advances in Pure Mathematics

Volume 8, Issue 6 (June 2018)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

The Fractal and the Recurrence Equations Concerning the Integer Partitions ()

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Download as PDF (Size: 259KB) PP. 624-630

DOI: 10.4236/apm.2018.86036 796 Downloads 1,725 Views

Author(s)

Meng Zhang

Affiliation(s)

School of Computer and Information Engineering, Tianjin Chengjian University, Tianjin, China.

ABSTRACT

This paper introduced a way of fractal to solve the problem of taking count of the integer partitions, furthermore, using the method in this paper some recurrence equations concerning the integer partitions can be deduced, including the pentagonal number theorem.

KEYWORDS

Fractal, Integer Partition, Pentagonal Number Theorem, Recurrence Equations

Share and Cite:

Zhang, M. (2018) The Fractal and the Recurrence Equations Concerning the Integer Partitions. Advances in Pure Mathematics, 8, 624-630. doi: 10.4236/apm.2018.86036.

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