The Number of Representations by Sums of Squares and Triangular Numbers

Name: The Number of Representations by Sums of Squares and Triangular Numbers
Creator: Lam, Heung Yeung
Keywords: Elliptic functions and integrals, Sums of squares and representations by other particular quadratic forms

Lam, Heung Yeung

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ZENODO

Article . 2007

License: CC BY

Data sources: Datacite

ZENODO

Article . 2007

License: CC BY

Data sources: Datacite

ZENODO

Article . 2007

License: CC BY

Data sources: ZENODO

zbMATH Open

Article . 2007

Data sources: zbMATH Open

The Number of Representations by Sums of Squares and Triangular Numbers

The number of representations by sums of squares and triangular numbers

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2007Publisher:Zenodo

Authors: Lam, Heung Yeung;

doi: 10.5281/zenodo.8281197 , 10.5281/zenodo.8281198

The Number of Representations by Sums of Squares and Triangular Numbers

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Abstract

In this paper, we present eighteen interesting infinite products and their Lambert series expansions. From these, we deduce formulae for the number of representations of an integer n by eighteen quadratic forms in terms of divisor sums.

Related Organizations

Massey University
New Zealand

Keywords

Elliptic functions and integrals, Sums of squares and representations by other particular quadratic forms

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