On the number of representations of \(n\) by \(ax(x-1)/2+by(y-1)/2\)

DOI10.1016/j.jnt.2008.11.007zbMath1216.11044OpenAlexW2065987468MaRDI QIDQ1017381

Zhi-Hong Sun

Publication date: 19 May 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.11.007

zbMATH Keywords

binary quadratic formsnumber of representationstriangular numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General binary quadratic forms (11E16)

Related Items (4)

Unnamed Item ⋮ A characterization of congruences modulo 4 on a SPT function of overpartitions ⋮ The number of representations of a positive integer by triangular, square, and decagonal numbers ⋮ ON REPRESENTATIONS BY FIGURATE NUMBERS: A UNIFORM APPROACH TO THE CONJECTURES OF MELHAM

Cites Work

• Unnamed Item
• Some Lambert series expansions of products of theta functions
• Ramanujan identities and Euler products for a type of Dirichlet series
• On the number of representations of n by ax²+bxy+cy²

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