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From: arvind@utcsri.UUCP
Newsgroups: ut.theory
Subject: THEORY NET: Values of a polynomial
Message-ID: <5240@utcsri.UUCP>
Date: Wed, 12-Aug-87 13:30:42 EDT
Article-I.D.: utcsri.5240
Posted: Wed Aug 12 13:30:42 1987
Date-Received: Fri, 14-Aug-87 04:33:16 EDT
Distribution: ut
Organization: CSRI, University of Toronto
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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?