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arxiv: 1708.07491 · v1 · pith:W2TUIIJ2new · submitted 2017-08-24 · 🧮 math.NT · math.AG

Correlations between primes in short intervals on curves over finite fields

classification 🧮 math.NT math.AG
keywords fieldscurvesfiniteintervalsshortanalogueasymptoticconjecture
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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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