Lagrange's Theorem On The Minimal Set Of Squares

N. A. Carella

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arXiv · 1108.6246

Lagrange's Theorem On The Minimal Set Of Squares

N. A. Carella

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Abstract

It will be demonstrated that there is a thin basis of order four of minimal cardinality #A(x) = O(x^.25). The current literature shows the existence of a thin basis of order four of cardinality #A(x) = O(x^(.25+ε), ε > 0, but speculates on the existence of a thin basis of order four of minimal cardinality.

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N. A. Carella. 2011-08-30. Lagrange's Theorem On The Minimal Set Of Squares. https://arxiv.org/abs/1108.6246

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