On the Erdös flat polynomials problem, Chowla conjecture and Riemann Hypothesis

el Houcein el Abdalaoui

There are no square $L^2$-flat sequences of polynomials of the type $$\frac{1}{\sqrt{q}}({\epsilon }_0+{\epsilon }_{1}z+{\epsilon }_2{z}^2+\cdots +{\epsilon }_{q-2}{z}^{q-2}+{\epsilon }_q{z}^{q-1}),$$ where for each $j,~~ 0 \leq…