Mixed sums of squares and triangular numbers (II)
| dc.creator | Guo, Song | |
| dc.creator | Pan, Hao | |
| dc.creator | Sun, Zhi-Wei | |
| dc.date | 2005-05-10 | |
| dc.date | 2007-12-24 | |
| dc.date.accessioned | 2026-07-07T08:50:56Z | |
| dc.date.available | 2026-07-07T08:50:56Z | |
| dc.description | For an integer $x$ let $t_x$ denote the triangular number $x(x+1)/2$. Following a recent work of Z. W. Sun, we show that every natural number can be written in any of the following forms with $x,y,z\in\Z$: $$x^2+3y^2+t_z, x^2+3t_y+t_z, x^2+6t_y+t_z, 3x^2+2t_y+t_z, 4x^2+2t_y+t_z.$$ This confirms a conjecture of Sun. | |
| dc.identifier | https://arxiv.org/abs/math/0505187 | |
| dc.identifier | http://arxiv.org/abs/math/0505187 | |
| dc.identifier | Integers 7(2007), A56, 5 pp | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144772 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11E25; 11D85; 11P99 | |
| dc.title | Mixed sums of squares and triangular numbers (II) | |
| dc.type | text |