Lagrange's Theorem On The Minimal Set Of Squares

Details Lagrange's Theorem On The Minimal Set Of Squares Lagrange's Theorem On The Minimal Set Of Squares

2011-08-30

arxiv.org/abs/1108.6246v1

Mathematics

Number Theory

Five Pages

Scientific paper

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+{\epsilon}),
{\epsilon} > 0, but speculates on the existence of a thin basis of order four
of minimal cardinality.

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