Improved lower bounds for the Mahler measure of the Fekete polynomials

Tamás Erdélyi

We show that there is an absolute constant $c>1/2$ such that the Mahler measure of the Fekete polynomials $f_p$ of the form $$f_p(z) := \sum_{k=1}^{p-1}{\left( \frac kp \right)z^…