Adiga, Chandrashekar and Cooper, Shaun and Han, Jung Hun (2005) A General relation between sums of squares and sums of triangular numbers. International Journal of Number Theory, 01 (02). pp. 175-182. ISSN 1793-7310
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Official URL: https://doi.org/10.1142/S1793042105000078
Abstract
Let rk(n) and tk(n) denote the number of representations of n as a sum of k squares, and as a sum of k triangular numbers, respectively. We give a generalization of the result rk(8n + k) = cktk(n), which holds for 1 ≤ k ≤ 7, where ck is a constant that depends only on k. Two proofs are provided. One involves generating functions and the other is combinatorial.
| Item Type: | Article |
|---|---|
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Manjula P Library Assistant |
| Date Deposited: | 05 Sep 2019 10:31 |
| Last Modified: | 08 Jul 2022 11:14 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/7658 |
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