2018Acta ArithmeticaOpen access

Representation of integers by cyclotomic binary forms

Étienne Fouvry, Claude Lévesque, Michel Waldschmidt

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Abstract

The homogeneous form $\varPhi_n(X,Y)$ of degree $\varphi(n)$ which is associated with the cyclotomic polynomial $\phi_n(X)$ is dubbed a cyclotomic binary form. A positive integer $m\ge 1$ is said to be representable by a cyclotomic binary for

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The homogeneous form $\varPhi_n(X,Y)$ of degree $\varphi(n)$ which is associated with the cyclotomic polynomial $\phi_n(X)$ is dubbed a cyclotomic binary form. A positive integer $m\ge 1$ is said to be representable by a cyclotomic binary for

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Available abstract

The homogeneous form $\varPhi_n(X,Y)$ of degree $\varphi(n)$ which is associated with the cyclotomic polynomial $\phi_n(X)$ is dubbed a cyclotomic binary form. A positive integer $m\ge 1$ is said to be representable by a cyclotomic binary for

Key concepts: Mathematics, Combinatorics, Cardinality (data modeling), Integer (computer science), Natural density, Binary number, Homogeneous, Discrete mathematics

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