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math.NT2017
On the Glide of 3x+1 Problem
Yuyin Yu, Dingyi Pei
For any positive integer , define an iterated function $$ f(n)=\left\{\begin{array}{ll} n/2, & \mbox{$n$ even,} \\ 3n+1, & \mbox{$n$ odd.} \end{array} \right. $$ Suppose (if…
math.NT2015★ 12 cited
Piecewise constructions of inverses of cyclotomic mapping permutation polynomials
Yanbin Zheng, Yuyin Yu, Yuanping Zhang +1
Given a permutation polynomial of a large finite field, finding its inverse is usually a hard problem. Based on a piecewise interpolation formula, we construct the inverses of cycl…