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- W2144042597 abstract "Abstract It is proven that if k ≥ 2 is an integer and d is a positive integer such that the product of any two distinct elements of the set increased by 1 is a perfect square, then d = 4 k or d = 64 k 5 −48 k 3 +8 k . Together with a recent result of Fujita, this shows that all Diophantine quadruples of the form { k − 1, k + 1, c , d } are regular." @default.
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- W2144042597 date "2007-05-01" @default.
- W2144042597 modified "2023-09-23" @default.
- W2144042597 title "ON THE FAMILY OF DIOPHANTINE TRIPLES {<i>k</i>− 1,<i>k</i>+ 1, 16<i>k</i><sup>3</sup>− 4<i>k</i>}" @default.
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- W2144042597 doi "https://doi.org/10.1017/s0017089507003564" @default.
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