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Sylvester's Signature

Diagonalize a form over the Rationals to

\mathop{\rm diag}[p^a\cdot A, p^b\cdot B, \ldots],

where all the entries are Integers and $A$, $B$, ...are Relatively Prime to $p$. Then Sylvester's signature is the sum of the $-1$-parts of the entries.

See also p-Signature

© 1996-9 Eric W. Weisstein