منابع مشابه
Splitting of Quartic Polynomials
For integers r, s, t, u define the recursion A(n + 4) = rA(n + 3) sA(n + 2) + tA(n + 1) uA(n) where the initial conditions are set up in such a way that A(n) = a" + ß" + y" + S" where a, ß, y, S are the roots of the associated polynomial f(x) = x* rxi + sx2 tx + u. In this paper a detailed deterministic procedure using the A(n) for finding how f(x) splits modulo a prime integerp is given. This ...
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1. We consider a polynomial f of degree d _> 2, and we denote its n-th iteration by fn . The results of the theory of iterations that are used in the present article may be found in [1, 2]. A root of the equation f n z = z is called a periodic point (with period n). The quantity X(z) = ~ log I(f~)'(z)l is the characteristic exponent of this point. When the Julia set of the polynomial f is conne...
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ژورنال
عنوان ژورنال: Research in Number Theory
سال: 2015
ISSN: 2363-9555
DOI: 10.1007/s40993-015-0006-6