On Fri, 20 Jul 2012, Niels Möller wrote:

I've looked a bit more into this. This is my current understanding:

1. Powers of two have to be handled specially, so consider only odd
  numbers, we'll be working with the multiplicative group Z_{2^k}^*.

2. An odd number has a square root (or in fact two) if and only if it's
  = 1 (mod 4).

I haven't followed the conversation so my comment is likely nonsense, but this statement looks strange. Mod 8, 1 has 4 square roots and 3, 5, 7 have none.

--
Marc Glisse
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