Representation of positive integer as a linear combination of squares

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"Note that the class number of $<1,1,9>$ is $1$ and $x^2+y^2+6z^2=3n+1$ has integer solutions. ic forms?

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At this point, the most valuable thing for you is examples. Below is a table from a book by Dickson; I recommend the book. Meanwhile, I put lots of material at TERNARY

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