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Sylvester's Signature


Diagonalize a form over the rationals to

 diag[p^a·A,p^b·B,...],

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

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References

Conway, J. H. "Re: Projective planes." math-fun@cs.arizona.edu posting, Aug. 20, 1996.

Referenced on Wolfram|Alpha

Sylvester's Signature

Cite this as:

Weisstein, Eric W. "Sylvester's Signature." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SylvestersSignature.html

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