| 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... | |
| 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... | |
| 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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