### 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) |
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Pages (from-to) | 285-293 |

Number of pages | 9 |

Journal | Journal of Number Theory |

Volume | 23 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1986 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

### Cite this

*Journal of Number Theory*,

*23*(3), 285-293. https://doi.org/10.1016/0022-314X(86)90074-0

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*Journal of Number Theory*, vol. 23, no. 3, pp. 285-293. https://doi.org/10.1016/0022-314X(86)90074-0

**EΥ{hooked}PHKA! num = Δ + Δ + Δ.** / Andrews, George E.

Research output: Contribution to journal › Article

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.

UR - http://www.scopus.com/inward/record.url?scp=38249039537&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249039537&partnerID=8YFLogxK

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

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

M3 - Article

VL - 23

SP - 285

EP - 293

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 3

ER -