%0 Journal Article
%T Value distribution of cyclotomic polynomial coefficients
%A Gallot Yves
%A Pieter Moree
%A Huib Hommerson
%J Uniform Distribution Theory
%D 2011
%I Mathematical Institute of the Slovak Academy of Sciences
%X Let $a_n(k)$ be the $k$th coefficient of the $n$th cyclotomic polynomial $\Phi_n(x)$. As $n$ ranges over the integers, $a_n(k)$ assumes only finitely many values. For any such value $v$ we determine the density of integers $n$ such that $a_n(k)=v$. Also we study the average of the $a_n(k)$. We derive analogous results for the $k$th Taylor coefficient of $1/\Phi_n(x)$ (taken around $x=0$). We formulate various open problems.
%K Coefficient of cyclotomic polynomial
%K prime
%K density
%K partition.
%U http://www.boku.ac.at/MATH/udt/vol06/no2/13GaMoHo11-2.pdf