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The number of representations of a positive integer by triangular, square, and decagonal numbers
Citation
Uha Isnaini, Melham, R., & Toh, P. C. (2019). The number of representations of a positive integer by triangular, square, and decagonal numbers. Bulletin of the Korean Mathematical Society, 56(5), 1143-1157. https://doi.org/10.4134/BKMS.b180914
Abstract
Let TaDb(n) and TaD0b(n) denote respectively the numberof representations of a positive integer n by a(x2− x)/2 + b(4y2− 3y)and a(x2− x)/2 + b(4y2− y). Similarly, let SaDb(n) and SaD0b(n) denoterespectively the number of representations of n by ax2+ b(4y2− 3y) andax2+b(4y2− y). In this paper, we prove 162 formulas for these functions.
Date Issued
2019
Publisher
Korea Institute of Science and Technology Information
Journal
Bulletin of the Korean Mathematical Society
DOI
10.4134/BKMS.b180914