j**p
发帖数: 53 | 1 hi friends, I was just wondering whether there is a name for the following
system of algebraic equations (must have been extensively studied I assume)
\sum_{i=1}^K n_i = N_1
\sum_{i=1}^K {n_i}^2 = N_2
essentially we are looking for integer solutions on the intersection of a
hyper-sphere and a hyperplane in K-dimensions.
Many thanks! | j**p
发帖数: 53 | 2 ...unlikely there's simple solution ... for a group of diophantine eq.s
probably one should be satisfied on just knowing some large N behavior (e.g.
density of such lattice points)..
【在 j**p 的大作中提到】
: hi friends, I was just wondering whether there is a name for the following
: system of algebraic equations (must have been extensively studied I assume)
: \sum_{i=1}^K n_i = N_1
: \sum_{i=1}^K {n_i}^2 = N_2
: essentially we are looking for integer solutions on the intersection of a
: hyper-sphere and a hyperplane in K-dimensions.
: Many thanks!
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