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
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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
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