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Nicolas Mascot on Tue, 16 Feb 2021 22:29:14 +0100
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- To: pari-users@pari.math.u-bordeaux.fr
- Subject: Re: jacobi symbol
- From: Nicolas Mascot <mascotn@maths.tcd.ie>
- Date: Tue, 16 Feb 2021 21:29:06 +0000
- Delivery-date: Tue, 16 Feb 2021 22:29:15 +0100
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Good evening!
There is a command for the Kronecker
symbol. I often confuse it with the Jacobi symbol, but if I am not
mistaken, the Kronecker symbol generalises the Jacobi symbol. To
be safe, here is what the documentation says:
kronecker(x,y):
Kronecker symbol (x|y), where x and y must be of type integer. By
definition, this is the extension of Legendre symbol to Z x Z by
total multiplicativity in both arguments with the following
special rules for y = 0, -1 or 2:
* (x|0) = 1 if |x|= 1 and 0 otherwise.
* (x|-1) = 1 if x >= 0 and -1 otherwise.
* (x|2) = 0 if x is even and 1 if x = 1,-1 mod 8 and -1 if x =
3,-3 mod 8.
Best regards,
Nicolas
On 16/02/2021 20:59, jean-pierre
Cherdieu wrote:
hi every body,
does someone know if there is a command to compute the
jacobi symbol.
sincerely,