A conditional result on exponential sums over primes in short intervals

2022/11/28 by Chiara Bellotti, Bellotti, Chiara, Giuseppe Puglisi +1
Mathematics · #11L07 #11L20 (Primary) 11M06 (Secondary) #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2211.15546

openalex publication_date 2022/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this work is to illustrate a conditional result involving the exponential sums over primes in short intervals under the assumption that both the Generalized Riemann Hypothesis and the Density Hypothesis for Dirichlet L-functions are true.

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