Algebraic integers with small potential energy
نویسندگان
چکیده
منابع مشابه
Algebraic integers of small discriminant
(1) D(α) = D(K)(I(α))2, where I(α) = [OK : Z[α]], the index of the ring generated by α in the full ring of integers OK of K. Classically, the index of the field K is the greatest common divisor of all indices I(α) for α ∈ OK with K = Q(α). Dedekind was the first to show that the index may not be 1 by exhibiting certain cubic and quartic fields with this property. By results of Bauer and von Żyl...
متن کاملAlgebraic Numbers and Algebraic Integers
c © W W L Chen, 1984, 2013. This chapter originates from material used by the author at Imperial College London between 1981 and 1990. It is available free to all individuals, on the understanding that it is not to be used for financial gain, and may be downloaded and/or photocopied, with or without permission from the author. However, this document may not be kept on any information storage an...
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A chromatic root is a zero of the chromatic polynomial of a graph. At a Newton Institute workshop on Combinatorics and Statistical Mechanics in 2008, two conjectures were proposed on the subject of which algebraic integers can be chromatic roots, known as the “α + n conjecture” and the “nα conjecture”. These say, respectively, that given any algebraic integer α there is a natural number n such ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2023
ISSN: ['1846-579X', '1848-9575']
DOI: https://doi.org/10.7153/jmi-2023-17-10