On the pythagorean numbers (n+h)~2-n~2,2n(n+h),(n+h)~2+n~2

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On the pythagorean numbers (n+h)~2-n~2,2n(n+h),(n+h)~2+n~2
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Abstract:

本文解决了一类商高数的Jes′manowicz猜测,即证明下列定理:设a=(n+h)~2-n~2、b=2n(n+h)、C=(n+h)+n~2,此处正整数n、h满足h~2=2n~2-1,则丢番图方程a+b~y=c~z仅有正整数解x=y=z=2。

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Li Xiaolian. On the pythagorean numbers (n+h)~2-n~2,2n(n+h),(n+h)~2+n~2[J]. Journal of Food Science and Biotechnology,1988,7(3).

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