On the distribution of polynomials with bounded height
Number Theory
2016-11-28 v1
Abstract
We provide an asymptotic expression for the probability that a randomly chosen polynomial with given degree, having integral coefficients bounded by some B, has a prescribed signature. We also give certain related formulas and numerical results along this line. Our theorems are closely related to earlier results of Akiyama and Peth\H{o}, and also yield extensions of recent results of Dubickas and Sha.
Cite
@article{arxiv.1611.08128,
title = {On the distribution of polynomials with bounded height},
author = {Csanád Bertók and Lajos Hajdu and Attila Pethő},
journal= {arXiv preprint arXiv:1611.08128},
year = {2016}
}
Comments
12 pages, 4 figures