Results of Hurwitz type for three squares.

DOI10.1016/S0012-365X(03)00079-7zbMath1040.11019MaRDI QIDQ1421510

Shaun Cooper, Michael D. Hirschhorn

Publication date: 26 January 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionssums of squaresinfinite productsthree squares

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27)

Related Items (8)

On the Diophantine equation \(n^2 = x^2 +by^2 +cz^2\) ⋮ On two theta function identities of Ramanujan ⋮ Infinite product representations of some \(q\)-series ⋮ SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS INDUCED BY PARTITIONS OF 8 ⋮ A GENERAL RELATION BETWEEN SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS ⋮ On Representation of an Integer by X 2 + Y 2 + Z 2 and the Modular Equations of Degree 3 and 5 ⋮ Cooper and Lam's conjecture for generalized Bell ternary quadratic forms ⋮ INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR 4-CORES

Cites Work

• On representations of a number as a sum of three squares
• Cubic Analogues of the Jacobian Theta Function θ(z, q)

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