Prime and Möbius correlations for very short intervals in ${\mathbb{F}}_q[x]$

Pär Kurlberg, Lior Rosenzweig

We investigate function field analogs of the distribution of primes, and prime $k$-tuples, in "very short intervals" of the form $I(f):=\{f(x)+a:a\in {\mathbb{F}}_p\}$ for $…