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首页> 外文期刊>INTEGERS: electronic journal of Combinatorial Number Theory >FACTORS AND IRREDUCIBILITY OF GENERALIZED STERN POLYNOMIALS
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FACTORS AND IRREDUCIBILITY OF GENERALIZED STERN POLYNOMIALS

机译:广义船尾多项式的因素和不可挽回的

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摘要

We investigate an infinite class of polynomial sequences at(n; z) with integer parameter t 1, which reduce to the well-known Stern (diatomic) sequence when z = 1 and are (0, 1)-polynomials when t 2. These sequences are related to the theory of hyperbinary expansions. The main purpose of this paper is to obtain various irreducibility and factorization results, most of which involve cyclotomic polynomials.
机译:我们在用整数参数T 1的(n; z)处研究无限类多项式序列,当z = 1时减少到众所周知的船尾(硅藻)序列,并且当t 2时(0,1) - polynomials序列与超额外扩展的理论有关。本文的主要目的是获得各种不可缩税和分解结果,其中大部分涉及紧动系多项式。

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