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Article #130THEORY NET: Values of a polynomial
From: arvind
Date: Wed, 12 Aug 1987 17:30
Date: Wed, 12 Aug 1987 17:30
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912 bytes
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?
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Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: arc1-ca.pugleaf.net!utzoo!utgpu!utcsri!arvind 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 Lines: 13