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Question: Reduce the exponents of a polynomial mod p

Question:Reduce the exponents of a polynomial mod p

sunil-maple 20 Maple
modp
February 10 2014
1

Dear Maple experts:

I have a very simple question:

I have a polynomial p(x) with integer coefficients and a prime p.  I want to reduce the exponents of this polynomial mod p.  So for example, if p(x) = 1 + x^3 + x^17 + x^19 and p is 17. Then I want Maple to output 1+x^3+1+x^2.

I know how to reduce the coefficients mod p, but not the exponents. Can someone suggest how I might go about doing this.  Thank you very much for your help.

Best wishes

Sunil
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