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Choudhry's Theorems on Waring-like Problems for Rationals

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TPiezas

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Nov 17, 2009, 4:30:01 PM11/17/09
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Hello all,

Some results for a "Waring-like Problem". ANY rational N is, in an
infinite number of _non-trivial_ ways:

1) the sum of 3 rational 3rd powers. (Ryley's Theorem)
2) the sum of 6 rational 5th powers. (Choudhry)
3) the sum of 8 rational 7th powers. (Choudhry)

All results are dependent on certain algebraic identities, but whether
(2) and (3) can be reduced to 5 and 7 sums, respectively, is unknown.
See here: http://sites.google.com/site/tpiezas/001

- Titus

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