Restricted sums of four squares

DOI10.1142/S1793042119501045zbMath1451.11026arXiv1701.05868OpenAlexW2962998647WikidataQ127907180 ScholiaQ127907180MaRDI QIDQ5236483

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Publication date: 8 October 2019

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

Full work available at URL: https://arxiv.org/abs/1701.05868

zbMATH Keywords

sums of squaresrepresentations of integerspowers of two

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) Representation problems (11D85)

Related Items (6)

Representing \(n\) as \(n=x+y+z\) with \(x^2+y^2+z^2\) a square ⋮ A structure theorem for the restricted sum of four squares ⋮ Sums of integers and sums of their squares ⋮ Zhi-Wei Sun's 1-3-5 conjecture and variations ⋮ Report on Zhi-Wei Sun's 1-3-5 conjecture and some of its refinements ⋮ SUMS OF FOUR SQUARES WITH A CERTAIN RESTRICTION

Uses Software

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Cites Work

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• On \(x(ax+1)+y(by+1)+z(cz+1)\) and \(x(ax+b)+y(ay+c)+z(az+d)\)
• Refining Lagrange's four-square theorem
• On universal sums of polygonal numbers
• A result similar to Lagrange's theorem
• The First Nontrivial Genus of Positive Definite Ternary Forms
• On the Sum of Two Squares and At Most Two Powers of 2
• Some variants of Lagrange's four squares theorem
• On the sum of two squares and two powers of k

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