Randomized polynomial-time root counting in prime power rings
نویسندگان
چکیده
منابع مشابه
Counting Roots of Polynomials Over Prime Power Rings
Suppose $p$ is a prime, $t$ is a positive integer, and $f\!\in\!\mathbb{Z}[x]$ is a univariate polynomial of degree $d$ with coefficients of absolute value $<\!p^t$. We show that for any fixed $t$, we can compute the number of roots in $\mathbb{Z}/(p^t)$ of $f$ in deterministic time $(d+\log p)^{O(1)}$. This fixed parameter tractability appears to be new for $t\!\geq\!3$. A consequence for arit...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2019
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3431