منابع مشابه
Cyclotomic Numbers of Order 5 Over F_p^n
In this paper, we derive the cyclotomic numbers of order 5 over an extension field Fpn using the well-known results of quintic Jacobi sums over Fp [1]. For p ≡ 1 mod 5, we have obtained the simple closed-form expression of the cyclotomic numbers of order 5 over Fpn . For p ≡ 1 mod 5, we express the cyclotomic number of order 5 over Fpn in terms of the solution of the diophantine system which is...
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We present a new method of approximating complex numbers by cyclotomic integers in Ze 2i=2 n ] whose coeecients with respect to the basis given by powers of e 2i=2 n are bounded in absolute value by a given integer M. It has been suggested by Cozzens and Finkelstein 5] that such approximations reduce the dynamic range requirements of the discrete Fourier transform. For xed n our algorithm gives...
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We give two proofs of a folkore result relating numerical semigroups of embedding dimension two and binary cyclotomic polynomials and explore some consequences. In particular, we give a more conceptual reproof of a result of Hong et al. (2012) on gaps between the exponents of non-zero monomials in a binary cyclotomic polynomial. The intent of the author with this paper is to popularise cyclotom...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1960
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-6-1-53-76