Sister Beiter and Kloosterman: a tale of cyclotomic coefficients and modular inverses

Cristian Cobeli, Yves Gallot, Pieter Moree +1

For a fixed prime $p$, the maximum coefficient (in absolute value) $M(p)$ of the cyclotomic polynomial ${\Phi }_{pqr}(x)$, where $r$ and $q$ are free primes satisfying $r>q>p$ exists. Si…