| Title |
Algebraic integers with small potential energy / |
| Authors |
Dubickas, Artūras |
| DOI |
10.7153/jmi-2023-17-10 |
| Full Text |
|
| Is Part of |
Journal of mathematical inequalities.. Zagreb : Element D.O.O.. 2023, vol. 17, no. 1, p. 141-151.. ISSN 1846-579X |
| Keywords [eng] |
algebraic integer ; average distance between conjugates ; potential energy ; totally real algebraic integer |
| Abstract [eng] |
In this paper we give a lower bound on the mean of squares of distances between the points in two sets in terms of the products of distances between the points in each of those two sets. These results imply lower bounds on the pth power ( p ≥ 2) of the average distance between the conjugates of an algebraic integer and of the same quantity between the conjugates of a totally real algebraic integer. |
| Published |
Zagreb : Element D.O.O |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
