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Creators/Authors contains: "Walker, Robert M."

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  1. ; (, Proceedings of the American Mathematical Society)
    Full Text Available 
  2. (, Journal of Algebra)
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  3. (, Journal of Algebra)
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  4. (, Proceedings of the American Mathematical Society)
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  5. ; ; ; (, Houston journal of mathematics)
    Until recently, the only known method of finding the roots of polynomials over prime power rings, other than fields, was brute force. One reason for this is the lack of a division algorithm, obstructing the use of greatest common divisors. Fix a prime integer p and f in (Z/pnZ)[x] any nonzero polynomial of degree d whose coefficients are not all divisible by p. For the case n=2, we prove a new efficient algorithm to count the roots of f in Z/p2Z within time (d+size(f)+log p),2+o(1), based on a formula conjectured by Cheng, Gao, Rojas, and Wan. 
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    Accepted Manuscript Full Text Available
  6. (, Illinois journal of mathematics)
    Accepted Manuscript Full Text Available