The Number of Representations of a Positive Integer as a Sum of Four Triangular Numbers

Main Article Content

Aeran Kim

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

151.PNG

Keywords:
Divisor functions, triangular numbers, theta function

Article Details

How to Cite
Kim, A. (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
Section
Original Research Article