Correlations between primes in short intervals on curves over finite fields

Abstract

We prove an analogue of the Hardy-Littlewood conjecture on the asymptotic distribution of prime constellations in the setting of short intervals in function fields of smooth projective curves over finite fields.

arXiv comment10 pages

References in corpus (1)

• The autocorrelation of the Möbius function and Chowla's conjecture for the rational function field in characteristic 2