TRANSFORMATION FORMULAS FOR THE NUMBER OF REPRESENTATIONS OF BY LINEAR COMBINATIONS OF FOUR TRIANGULAR NUMBERS

DOI10.1017/S0004972719001400zbMath1477.11066OpenAlexW3144899086WikidataQ126386806 ScholiaQ126386806MaRDI QIDQ3295174

Zhi-Hong Sun

Publication date: 8 July 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719001400

zbMATH Keywords

quadratic formtheta functiontriangular number

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Power series (including lacunary series) in one complex variable (30B10) Other functions defined by series and integrals (33E20) Representation problems (11D85)

Related Items (2)

On conjectures of Z.-H. Sun ⋮ Unnamed Item

Cites Work

• On the number of representations of n as a linear combination of four triangular numbers
• Some relations between $t(a,b,c,d;n)$ and $N(a,b,c,d;n)$
• On the number of representations of n as a linear combination of four triangular numbers II
• SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS INDUCED BY PARTITIONS OF 8
• The number of representations of n as a linear combination of triangular numbers
• A GENERAL RELATION BETWEEN SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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