Talk:Legendre symbol

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[edit] Legendre symbol usually not defined for p=2

The Legendre (a/p) symbol is usually not defined for p=2. Moreover, the extended definition given here is not consistent with the Kronecker symbol. E.g., the Kronecker symbol (a/2) is either 1,0,-1 depending on a. But the Kronecker symbols is an extension of the Legendre and Jacobi symbol. Anyone agrees to remove the case p=2 from the definition? 24.228.93.22 17:12, 7 September 2005 (UTC)

If you believe you are correct, change the page, be bold. Greg321 21:58, 7 September 2005 (UTC)

The case p=2 is now removed from the definition. None of the references I checked defines the Legendre symbol for p=2. Besides the inconsistency with the Kronecker symbol, also Euler's equation would not be true for p=2. 24.228.93.22 02:06, 14 September 2005 (UTC)

[edit] Revision

I've been editing this and related pages quadratic residue, jacobi symbol adding notes, etc.

Virginia-American (talk) 07:26, 2 March 2008 (UTC)