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

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 |
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Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | manjula User |

Date Deposited: | 05 Sep 2019 10:31 |

Last Modified: | 05 Sep 2019 10:31 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/7658 |

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