منابع مشابه
Automorphisms of Polynomial Algebras and Dirichlet Series
Let Fq[x, y] be the polynomial algebra in two variables over the finite field Fq with q elements. We give an exact formula and the asymptotics for the number pn of automorphisms (f, g) of Fq[x, y] such that max{deg(f), deg(g)} = n. We describe also the Dirichlet series generating function p(s) = ∑
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Kiister, G., On the Hurwitz product of formal power series and automata, Theoretical Computer Science 83 (1991) 261-273. The Hurwitz (shuffle) product defined on formal power series is generalized to matrices and therefore to automata. The resulting constructions are then used to study commutative power series and abstract families of power series. In particular, the families of power series re...
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We study the structure of the Nottingham group N (Fp) of power series f ∈ X · Fp[[X]] with f (0) = 1 where p > 2 is prime, which is isomorphic to the group of wild automorphisms of Fp((X)). We concern ourselves with power series g ∈ N (Fp) with g 6= X for all m ≥ 1 (that is, power series of infinite order in N (Fp)), and we determine a necessary and sufficient criterion for such g ∈ N (Fp) havi...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2012
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2012.v14.n2.a6