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d k

By Leonid Bedratyuk


Abstract. The number νd(n) of linearly independed homogeneous invariants of degree n for the ternary form of degree d is calculated. The folloving formula is hold νd(n) = cd(n, 0, 0) + cd(n, 3, 0) + cd(n, 0, 3) − 2 cd(n, 1, 1) − cd(n, 2, 2), here cd(n, i, j) is number of nonnegative integer solutions of the system of equations ⎧ ∑ n d i − j i αi,j =

Year: 2013
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