# EΥ{hooked}PHKA! num = Δ + Δ + Δ

Research output: Contribution to journalArticle

12 Citations (Scopus)

### Abstract

A formula for the generating function for the number of representations of n as a sum of three triangular numbers is given. From this formula Gauss's theorem that every natural number is a sum of three triangular numbers follows immediately.

Original language English (US) 285-293 9 Journal of Number Theory 23 3 https://doi.org/10.1016/0022-314X(86)90074-0 Published - Jan 1 1986

### Fingerprint

Triangular number
Natural number
Gauss
Generating Function
Immediately
Theorem

### All Science Journal Classification (ASJC) codes

• Algebra and Number Theory

### Cite this

@article{7df8459e3a8141069bbc0afe2b628008,
title = "EΥ{hooked}PHKA! num = Δ + Δ + Δ",
abstract = "A formula for the generating function for the number of representations of n as a sum of three triangular numbers is given. From this formula Gauss's theorem that every natural number is a sum of three triangular numbers follows immediately.",
author = "Andrews, {George E.}",
year = "1986",
month = "1",
day = "1",
doi = "10.1016/0022-314X(86)90074-0",
language = "English (US)",
volume = "23",
pages = "285--293",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Academic Press Inc.",
number = "3",

}

In: Journal of Number Theory, Vol. 23, No. 3, 01.01.1986, p. 285-293.

Research output: Contribution to journalArticle

TY - JOUR

T1 - EΥ{hooked}PHKA! num = Δ + Δ + Δ

AU - Andrews, George E.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - A formula for the generating function for the number of representations of n as a sum of three triangular numbers is given. From this formula Gauss's theorem that every natural number is a sum of three triangular numbers follows immediately.

AB - A formula for the generating function for the number of representations of n as a sum of three triangular numbers is given. From this formula Gauss's theorem that every natural number is a sum of three triangular numbers follows immediately.

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U2 - 10.1016/0022-314X(86)90074-0

DO - 10.1016/0022-314X(86)90074-0

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JO - Journal of Number Theory

JF - Journal of Number Theory

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