Mixed sums of squares and triangular numbers. III

DOI10.1016/J.JNT.2008.10.002zbMath1214.11046arXiv0804.3750OpenAlexW2963146238MaRDI QIDQ1011673

Zhi-Wei Sun, Byeong-Kweon Oh

Publication date: 9 April 2009

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

Full work available at URL: https://arxiv.org/abs/0804.3750

zbMATH Keywords

squaresmixed sumsternary quadratic formstriangular numbersrepresentations of natural numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Representation problems (11D85)

Related Items (9)

Class numbers of quadratic Diophantine equations ⋮ On universal sums of polygonal numbers ⋮ A characterization of almost universal ternary quadratic polynomials with odd prime power conductor ⋮ Universal sums of triangular numbers and squares ⋮ Ternary universal sums of generalized polygonal numbers ⋮ Some universal quadratic sums over the integers ⋮ On almost universal mixed sums of squares and triangular numbers ⋮ Universal sums of three quadratic polynomials ⋮ Almost universal ternary sums of triangular numbers

Cites Work

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• Darstellung durch Spinorgeschlechter ternärer quadratischer Formen
• On sums of primes and triangular numbers
• Mixed sums of squares and triangular numbers
• Primitive Representations by Spinor Genera of Ternary Quadratic Forms
• Representation of spinor exceptional integers by ternary quadratic forms

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