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Books Books 1 - 3 of 3 on ... the product of two sums of eight squares as a sum of eight squares..
" ... the product of two sums of eight squares as a sum of eight squares. "
Diophantine Analysis - Page 113
by Robert Daniel Carmichael - 1915 - 118 pages
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Mathematics and Its History

John Stillwell - Mathematics - 2004 - 544 pages
...e2 + 2 + r\2 + 62, so the multiplicative property of absolute value gives an identity expressing the product of two sums of eight squares as a sum of eight squares. After discovering this, Graves searched the literature for such identities, and uncovered Euler's four-square...
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The Theory of Numbers and Diophantine Analysis: Two Volumes Bound As One

R. D. Carmichael - Mathematics - 2004 - 118 pages
...1883.) 61.* Determine properties of the integers a, b, c, d such that the equation ax'+byt+czt+dut =o shall have integral solutions. (Meyer, 1884.) 62.*...squares as a sum of eight squares. (Thomson, 1877.) 63-! Develop the theory of the Diophantine equation solution containing this number Un. (Problem and result...
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Discovering Mathematics with Magma: Reducing the Abstract to the Concrete

Wieb Bosma, John Cannon - Computers - 2007 - 364 pages
...the output for u * v combined with the fact that Q(uv) = Q(u)Q(v) provides an explicit expression of the product of two sums of eight squares as a sum of eight squares. > Q := func< x \ lnnerProduct(x,x) >; > Q(u). Q(u*v) eq Q(u)*Q(v); ul~2 + u2~2 + u3~2 + u4~2 + u5~2...
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