[ut.theory] THEORY NET: Values of a polynomial

arvind@utcsri.UUCP (08/12/87)

Date: Mon, 10 Aug 87 15:07:33 PDT
From: Murray M. Schacher <mms@math.ucla.edu>
Subject: Values of a polynomial
     
Consider the polynomial:
     
              4        3        2
 f(t) =  600 t  - 800 t  + 420 t  - 100 t + 9
     
which is irreducible in Z[t] and has only odd integers for values.  Are
there be infinitely many t in Z so that f(t) mod squares has only
divisors which are 1 mod(3) ?  Must there be infinitely many such in
every arithmetic progression?