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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Conjugate algebraic integers in an interval


Author: Veikko Ennola
Journal: Proc. Amer. Math. Soc. 53 (1975), 259-261
MSC: Primary 12A15
MathSciNet review: 0382219
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Abstract: The following conjecture of R. M. Robinson is proved. If $ \Delta $ is a real interval of length greater than $ 4$, then for any sufficiently large $ n$ there exists an irreducible monic polynomial of degree $ n$ with integer coefficients all of whose zeros lie in $ \Delta $.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0382219-7
PII: S 0002-9939(1975)0382219-7
Article copyright: © Copyright 1975 American Mathematical Society