Correlations between primes in short intervals on curves over finite fields

2017/08/24 by Efrat Bank, Bank, Efrat, Tyler Foster +1
Computer Science · Mathematics · #11N25 #11R44 #11R45 #11R58 #14H05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1708.07491

openalex publication_date 2017/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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