Mixed sums of squares and triangular numbers
| dc.creator | Sun, Zhi-Wei | |
| dc.date | 2005-05-09 | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T07:50:37Z | |
| dc.date.available | 2026-07-07T07:50:37Z | |
| dc.description | By means of $q$-series, we prove that any natural number is a sum of an even square and two triangular numbers, and that each positive integer is a sum of a triangular number plus $x^2+y^2$ for some integers $x$ and $y$ with $x\not\equiv y (mod 2)$ or $x=y>0$. The paper also contains some other results and open conjectures on mixed sums of squares and triangular numbers. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505128 | |
| dc.identifier | http://arxiv.org/abs/math/0505128 | |
| dc.identifier | Acta Arith. 127(2007), no.2, 103-113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125222 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11E25; 05A30; 11B65; 11D85; 11P99 | |
| dc.title | Mixed sums of squares and triangular numbers | |
| dc.type | text |