The number of representations by a ternary sum of triangular numbers

zbMath1456.11038arXiv1801.04836MaRDI QIDQ4614791

Byeong-Kweon Oh, Min-Gyu Kim

Publication date: 31 January 2019

Full work available at URL: https://arxiv.org/abs/1801.04836

zbMATH Keywords

squaresrepresentations of ternary quadratic forms

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Related Items (5)

On conjectures of Z.-H. Sun ⋮ Automatic proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers ⋮ Regular ternary triangular forms ⋮ Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers ⋮ Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers

Cites Work

• Unnamed Item
• An explicit formula for local densities of quadratic forms
• Introduction to quadratic forms
• The relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\) and (\(p,k\))-parametrization of theta functions
• Some relations between $t(a,b,c,d;n)$ and $N(a,b,c,d;n)$
• SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS INDUCED BY PARTITIONS OF 8
• Ramanujan’s theta functions and sums of triangular numbers
• A GENERAL RELATION BETWEEN SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS

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