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?