# On representations of a number as a sum of three triangles

Michael D. Hirschhorn; James A. Sellers

Acta Arithmetica (1996)

- Volume: 77, Issue: 3, page 289-301
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topMichael D. Hirschhorn, and James A. Sellers. "On representations of a number as a sum of three triangles." Acta Arithmetica 77.3 (1996): 289-301. <http://eudml.org/doc/206920>.

@article{MichaelD1996,

author = {Michael D. Hirschhorn, James A. Sellers},

journal = {Acta Arithmetica},

keywords = {representations of integers; sum of three triangular numbers; generating functions; arithmetic identities},

language = {eng},

number = {3},

pages = {289-301},

title = {On representations of a number as a sum of three triangles},

url = {http://eudml.org/doc/206920},

volume = {77},

year = {1996},

}

TY - JOUR

AU - Michael D. Hirschhorn

AU - James A. Sellers

TI - On representations of a number as a sum of three triangles

JO - Acta Arithmetica

PY - 1996

VL - 77

IS - 3

SP - 289

EP - 301

LA - eng

KW - representations of integers; sum of three triangular numbers; generating functions; arithmetic identities

UR - http://eudml.org/doc/206920

ER -

## References

top- [1] G. E. Andrews, EΥPHKA! num = Δ + Δ + Δ, J. Number Theory 23 (1986), 285-293.
- [2] C. F. Gauss, Werke, Bd. 10, Teubner, Leipzig, 1917, 497.
- [3] M. Hirschhorn, F. Garvan and J. Borwein, Cubic analogues of the Jacobian theta function θ(z,q), Canad. J. Math. 45 (1993), 673-694. Zbl0797.33012

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.