Non-negative Integer
Solutions of
a1k
+ a2k + a3k+
a4k+ a5k
= b1k + b2k
+ b3k + b4k
+ b5k
( k = 1, 2, 3, 4 )
- J.Chernick gave a two-parameter solutions of
this system in 1937. [7] All solutions
by his method are symmetric.
- [ 0, 4, 8, 16, 17 ] = [ 1, 2, 10, 14, 18 ]
- [ 0, 6, 8, 17, 19 ] = [ 1, 3, 12, 14, 20 ]
- J.L.Burchnall & T.W.Chaundy obtained a parameter
solution for non-symmetric solution of this type in 1937.[39]
- [ 0, 9, 13, 26, 32 ] = [ 2, 4, 20, 21, 33 ]
- [ 0, 31, 49, 87, 113] = [ 3, 21, 64, 77, 115
]
- Ajai Choudhry obtained the complete symmetric
solution and a parametric non-symmetric solution.of this type in 2000.
[62]
Last revised March,31, 2001.
Copyright 1997-2001, Chen Shuwen