Gaussian binomial coefficients modulo cyclotomic polynomials
نویسندگان
چکیده
منابع مشابه
Coefficients of cyclotomic polynomials
Let a(n, k) be the k-th coefficient of the n-th cyclotomic polynomial. Recently, Ji, Li and Moree [12] proved that for any integer m ≥ 1, {a(mn, k)|n, k ∈ N} = Z. In this paper, we improve this result and prove that for any integers s > t ≥ 0, {a(ns + t, k)|n, k ∈ N} = Z. 2000 Mathematics Subject Classification:11B83; 11C08
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Let a(n, k) be the kth coefficient of the nth cyclotomic polynomial. In part I it was proved that {a(mn, k) | n ≥ 1, k ≥ 0} = Z, in case m is a prime power. In this paper we show that the result also holds true in case m is an arbitrary positive integer.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2016
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2016.04.005