Higher order uniformity of the primes and cancellation of the Möbius function in shorter intervals

Kaisa Matomäki, Mayank Pandey, Javier Pliego +2

We prove the Gowers uniformity of the von Mangoldt function minus its Cramér model in all short intervals $[X,X+X^{3/5+\epsilon }]$, improving on the work of the first and fourth…