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

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). pp. 1-21. ISSN 2456477X

[thumbnail of Kim1112018ARJOM43409.pdf] Text
Kim1112018ARJOM43409.pdf - Published Version

Download (367kB)

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 de ned by φ(q) :=1∑n=1qn2 and ψ(q) :=1∑n=0q12n(n+1).

Item Type: Article
Subjects: Open Article Repository > Mathematical Science
Depositing User: Unnamed user with email support@openarticledepository.com
Date Deposited: 13 May 2023 05:35
Last Modified: 23 Oct 2024 04:04
URI: http://journal.251news.co.in/id/eprint/1212

Actions (login required)

View Item
View Item