A geometric proof of Peck's theorem

Kavita Dhanda, Josh Flynn, Alan Haynes

Suppose that $d\ge 2$ and that $1,{\alpha }_1,\dots ,{\alpha }_d$ is a basis for a real algebraic number field. A theorem of Peck from 1961 establishes that \[ \liminf_{n\rightarrow\infty}n\log n…