A Proof of Sundaram's Bounded-Interval Higher Lie Positivity Conjecture

Kesen Hou

For positive integers $n$ and $M$, Sundaram defined $F_{n,M}={\sum }_{\begin{array}{c}d\mid n\\ d\le M\end{array}}Li{e}_{n/d}[p_d]$ and conjectured that every coefficient in its Schur expansion is a…