|Bill Allombert on Sat, 07 Feb 2009 11:39:44 +0100|
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|Re: Can PARI do this?|
On Fri, Feb 06, 2009 at 07:34:51PM -0500, Bill Daly wrote: > Suppose I have two algebraic numbers r and s which generate distinct > fields Q(r) and Q(s), with r in the form Mod(r,f(r)) for some polynomial > f over Q, and s in the form Mod(s,g(s)) for some distinct polynomial g > over Q which is coprime to f. Is there a simple way in PARI to find a > quantity t in the form Mod(t,h(t)) such that r and s are rational > functions of t and h is in Q? Will bezout() do this? You should use polcompositum(f,g,1). Cheers, Bill.