On a problem of A. M. Odlyzko on algebraic units of bounded degree

Győry, Kálmán

doi:10.1007/bf01874602

Acta Math Hung

1995

DOI: 10.1007/bf01874602

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On a problem of A. M. Odlyzko on algebraic units of bounded degree

Kálmán Győry

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On the irreducibility of neighbouring polynomials

Győry¹

1994

Acta Arith.

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To Professor W. M. Schmidt on his 60th birthday 1. Introduction. Denote by |P | the length of a polynomial P ∈ Z[x], i.e. the sum of the absolute values of the coefficients of P . The purpose of this paper is to investigate the irreducibility of non-constant neighbouring polynomials over Q. Here we say that two polynomials with integer coefficients are neighbouring if their difference is of relatively small length and small degree. By means of Eisenstein's irreducibility theorem it is easy to show that for given P ∈ Z

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On the irreducibility of neighbouring polynomials

Győry¹

1994

Acta Arith.

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On a problem of A. M. Odlyzko on algebraic units of bounded degree

Cited by 1 publication

References 8 publications

On the irreducibility of neighbouring polynomials

On the irreducibility of neighbouring polynomials

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