The Riemann vs. MZ derivatives conjecture

Let $D_n$ denote the $n$-th Riemann differentiation, and let an MZ differentiation mean an $n$-th generalized Riemann differentiation equivalent to the $n$-th Peano derivative for all functions that are $n-1$ times Peano differentiable at $x$. The Riemann vs. MZ derivatives conjecture. When $n\geq3$, $D_n$ is not an MZ differentiation, for all functions $f$ at $x$. This is a particular case of the Gaussian vs. MZ derivatives conjecture; the paper states a stronger result by proving that $D_n$ is not equivalent to a Gaussian differentiation.