The Number of Representations of a Positive Integer as a Sum of Four Triangular Numbers
Aeran Kim *
A Private Mathematics Academy, 1-#406, 23, Maebong 5-gil, Deokjin-gu, Jeonju-si, Jeollabuk-do, 54921, Republic of Korea.
*Author to whom correspondence should be addressed.
Abstract
In this paper we evaluate the number of representations of n(∈ N) as a sum of four triangular
numbers by simple method based on Jacobi's theta functions dened by
Keywords: Divisor functions, triangular numbers, theta function
How to Cite
Kim, Aeran. 2018. “The Number of Representations of a Positive Integer As a Sum of Four Triangular Numbers”. Asian Research Journal of Mathematics 11 (1):1-21. https://doi.org/10.9734/ARJOM/2018/43409.
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